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ARMED SERVICES TEHNICAL INFORMfflOfi AGENCY 
ARLINGTON HALL STAnON 
ARLINGTON 12. VIRGINIA 
UNCLASSIFIED
DISCLAIMER NOTICE 
THIS DOCUMENT IS THE BEST 
QUALITY AVAILABLE. 
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REPRODUCE LEGIBLY . 
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NOTICE: When government or other drawings, speci-fications 
or other data are used for any purpose 
other than In connection with a definitely related 
government procurement operation, the U. S. 
Government thereby Incurs no responsibility, nor any 
obligation whatsoever; and the fact that the Govern-ment 
may have formulated, furnished, or In any way 
supplied the said drawings, specifications, or other 
data Is not to be regarded by Implication or other-wise 
as In any manner licensing the holder or any 
other person or corporation, or conveying any rights 
or permission to manufacture, use or sell any 
patented Invention that may In any way be related 
thereto.
lim 
HI 
H 
''allll ml 
MEMORANDUM REPORT NO. 1349 
AUGUST 1961 
A COMB FILTER FOR USE IN 
TRACKING SATELLITES 
ARPA Satellite Fence Series 
XEROX Richard L Vitek ASTM 
• 
Report Number 24 in the Series 
Department of the Army Project No. 503-06-011 
Ordnance Management Structure Code No. 5210.11.143 
BALLISTIC RESEARCH LABORATORIES 
I' ^KSmf^f^F. ^«:^M^<-«iw»w«irT'«;i/ar^.-^-«'trc-_''.'%' ..,•»-. ;:-•■';>....>.-.r;.-»»*«! ncvrm.w 
ABERDEEN PROVING GROUND. MARYLAND
BALLISTIC RESEARCH LABORATORIES 
MEMORANDUM REPORT NO. 15^9 
AUGUST 1961 
A COMB FILTER FOR USE IN TRACKING SATELLITES 
ARFA Satellite Fence Series 
Richard L. Vltek 
Ballistic Measurements Laboratory 
Report Number 2k In the Series 
Department of the Army Project No. 503-06-011 
Ordnance Management Structure Code No. 5210.11.1^5 
ABERDEEN PROVING GROUND, MARYLAND
BALLISTIC RESEARCH LABORATORIES 
MEMORANDUM REPORT NO. 13^9 
RLVltek/bst 
Aberdeen Proving Ground, Maryland 
August I96I 
A COMB PILTBR FOR USE IN TRACKENO SATELLITES 
ABSTRACT 
This report presents the design and evaluation of a I80 element comb 
filter. This unit was developed In conjunction with the ARPA Satellite 
Fence program for the detection and tracking of non-radlatlng satellites. 
The primary purpose of this comb filter Is to detect and measure the 
ftrequency of short duration Doppler signals In the presence of nolae. 
The filter elements have a bandwidth of 10 cps and are spaced 20 cps 
apart to cover a 3800 cps frequency range. A multiple pen analog 
recorder Is used to record Individual filter outputs. The evaluation 
Includes data on simulated as well as actual satellite signals.
TABLE OF CONTENTS 
Page 
HfPRODUCTION 
SYOTEM AND COMB PARAMETERS o 
FILTER CONSIEERATIONS ^ 
FILIER DESIGN , %jk 
CIRCUIT DESIGN l6 
TESTS AND EVALUATION 51 
APPENDIX I, BIBLIOGRAPHY OP REPORTS IN THE BRL-DOPLOC SERIES. ... 55
imODUCTION 
The Ballistic Research Laboratories have been engaged in tracking 
satellites since the first Sputnik on October k, 1957. This tracking 
was accomplished with the DOPLOC (DOploc Phase LOCk) system. Tracking, 
in this case, means the reception of radio frequency signals and the 
recording of their frequency versus time characteristics. The frequency 
shift is a result of the Doppler effect associated with a moving source. 
The received signals were so weak that a phase-locked tracking filter 
was required to separate the signal from the noise. The signals were 
obtained either directly from a satellite borne transmitter (active) 
or indirectly from a ground transmitter by reflection from the 
satellite (passive). A very brief description of DOPLOC will be 
presented here as a background for the comb filter requirements. The 
block diagrams presented have been greatly simplified and equipment 
not directly related to the comb filter has been omitted. 
Figure la is a block diagram of the DOPLOC receiving system for 
tracking active satellites. With the signals received from active 
satellites, low gain broadbeam antennas were used with a manually 
locked narrow bandwidth tracking filter. The filter had bandwidths 
from 0.5 to 50 cps which gave a slgnal-to-noise (S/N) improvement up 
to 1+2 db. This unit provided a clean, continuous output Doppler 
signal. The results obtained with this system were excellent. 
Continuous Doppler signals were received throughout the passage of 
satellites from horizon to horizon. Multiple satellites were tracked 
by having a tracking filter for each signal. Figure lb shows a 
typical Doppler data curve of frequency versus time. 
With the advent of passive tracking, the DOPLOC system was extended 
to include illuminating the satellite and receiving reflected Doppler 
signals. Because of the relatively weak received signals in the passive 
or reflection system, high gain, narrow fan beam antennas had to be 
employed. The Interim DOPLOC Satellite Fence stations, as set up in 
September 1959 under ARPA sponsorship, contained three, fixed, 8° X 800 
beamwidth antennas with the same type of receivers and phase-locked 
7
filters used with the active satellite tracking system. This system, 
shown In Figure 2k, no longer produced continuous data but gave three 
portions of the Doppler curve as shown In Figure 2B. Received signals 
above the noise threshold lasted 5 to 8 seconds In the center beam and 
15 to 20 seconds In the north and south beams. These signal durations 
were so short that manual lock-on of the tracking filter was no longer 
feasible. An automatic system was designed which located the desired 
signal and locked the tracking filter to It. This automatic lock-on 
system functioned reasonably well, but It did not provide maximum 
sensitivity or acquisition capability. 
The final system as proposed to ARPA Is shown in Figure 3A. This 
system contained a 1.^° x 40° scanning fan beam antenna. The scan rate 
was high compared to the satellite rate of travel and data were to be 
obtained at short Intervals throughout the curve as shown In Figure SB. 
The phase-locked tracking filter was no longer compatible with this type 
(short duration) signal, even with the use of an automatic lock-on system. 
A new filter-recorder combination was required which could locate and 
record short duration signals. This lead to the development of the comb 
filter herein described. 
8
SYSTEM AM) COMB PARAMETERS 
System Considerations 
The comb filter design Is related to the electrical noise and 
signal environment In which It must operate. This environment can be 
divided Into three parts; desired signal, noise, and spurious signals. 
These signals are determined by the DOPLOC system parameters. Therefore, 
a more detailed look at the DOPLOC system Is required to determine Its 
output signal characteristics. 
A major advantage of the DOPLOC Satellite Fence Is Its Inherent 
ability to provide all of the orbital parameters from the data obtained 
during a single pass of a satellite. A minimum of twelve data points 
are considered necessary to provide an adequate orbital solution. 
Therefore, the antenna configuration and motion, which determine the 
number of data points, must be tailored to provide at least twelve 
data points. In addition to this restriction, there are three other 
basic parameters which determine the signal conditions. They are the 
carrier frequency, the satellite velocity, and the slant range to the 
satellite. A carrier frequency of 108 rac and satellite velocity of 
300 miles per minute give a Doppler frequency shift of approximately 
12 kc. All three parameters determine the rate of change of frequency, 
which, at closest approach, Is 25 cps/s at a satellite altitude of 1000 
miles and 100 cps/s at 100 miles altitude. The maximum rate of change of 
frequency of 100 cps/s determines the minimum usable bandwidth of 10 cps. 
This bandwidth In turn sets the time available to recognize a signal at 
100 milliseconds. This time of 100 milliseconds determines the maximum scan 
rate for a given antenna beamwldth. Since twelve data points are required 
on each pass, there la also a minimm scan rate associated with the low 
altitude passes. If the antenna seem Is made fast enough to obtain at 
least twelve points, where each point Is 100 milliseconds In duration, an 
antenna beamwldth of l.k degrees is required. To summarize, the desired 
signal characteristics are, a 12 kc frequency shift, a maximum rate of 
change of frequency of 100 cps/s, and a signal duration of 100 milliseconds.
SpurlouB Signale 
In addition to the desired signal, there are other signals which are 
present and important. In a reflection system using a high power ground 
transmitter, forward tropospherlc scatter generally occurs to some extent. 
Field experience Indicates that this feedthrough level can be equal to 
the receiver noise level. This signal, although fixed In frequency, must 
be considered In the filter design. 
Meteors also present a problem. Here, field experience Indicates 
that two types of echos are present, a head echo and a trail echo. The 
head echo will cover the entire Doppler frequency range at a very high 
rate of change of frequency. The trail echo Is relatively fixed In 
frequency and of large amplitude. The trail echos generally occur near 
the center of the Doppler frequency band. The head echos are discriminated 
against to a large extent because of their high rate of change of frequency. 
Noise Bandwidth and Amplitude 
Noise bandwidth and noise level considerations are of prime Importance. 
The noise bandwidth Is Important In that the overall bandwidth reduction 
determines the dynamic range required of the comb filter. The noise level 
must be considered both from the standpoint of absolute level and variation 
of level. With a given, fixed, bandwidth reduction, the noise level 
determines the minimum usable signal level. The variation in level is 
important in the automatic gain control (AGC) design. The R 390/A 
receiver used in the DOPLOC system has a maximum I. F. bandwidth of 16 kc, 
which is adequate to cover the 12 kc Doppler frequency shift. The maximum 
audio signal, without any danger of clipping, is one volt r.m.s. The noise 
level is a function of the receiving antenna orientation with respect to 
cosmic noise sources, as well as the receiver gain. An overall variation 
of 5 to 1 in noise voltage output of the receiver is possible due to the 
combined variations of cosmic noise and receiver gain. 
10
FILTER CONSIDERATIONS 
Ideal and Practical mter for Sine w»v»g 
Once the Input signal characteristics have been defined, the 
performance characteristics desired for the comb filter «ay be outlined. 
The basic comb filter Is a multiplicity of narrow band elements dlstrlb-uted 
uniformly through a given frequency band. This Is shown graphically 
in Figure i*. The problem may be better understood by first examining 
and Ideal filter and comparing Its operation with the actual filter 
Consider an Individual Ideal element as shown In Figure kB to be 10 cps 
vide with a flat top and having Infinite side slope attenuation. This 
10 cps filter is placed In a recording circuit as shown In Figure i* 
The circuit contains the filter, an amplifier of gain K, and threshold 
circuit and a recorder. The recorder Is an go no-go device. The threshold 
and recorder combination are such that the input to the threshold circuit 
must equal or exceed a given level E^ for the recorder to operate. Let 
us make one further stipulation that the circuit have unlimited dynamic 
range. These conditions describe an Ideal circuit element. To further 
simplify the problem, let us consider the effectiveness of the circuit 
to separate only two sine wave signals; first, » , the desired signal, 
whose frequency is contained within the bandwidth and second, E, , the 
undesired signal, with variable amplitude and frequency but outSde the 
bandwidth. What, if any, restrictions does this ideal circuit present 
to these two signals? 
With an ideal filter with infinite side slopes at the input, the un-desired 
signal may be as close to the band edges as possible and as large 
in amplitude as desired and it will never present any interfering output 
signal within the desired bandwidth. Thus, there is no minimum amplitude 
restriction on ^ as a function of E^. Also, as long as we are willing 
to make the gain K large enough to amplify ^ to ^ ED has no minimum 
level. Ep also has no maximum level. The signals may be as small or as 
large as desired and still be recognized, and each will operate only one 
circuit element. 
11 
V
Let us replace the Ideal filter with one of finite side slope of 
x db/octave, and center frequency f , as shown In Figure 5A, and consider 
its effect on the frequency and amplitude characteristics of E_ and E . 
We select some arbitrary minimum level for E_, say y db, and plot £._ 
as a function of frequency vhlch will provide a signal level of y db at 
f . This Is shown in Figure 5B. Since we have an attenuation of x db/octave, 
a signal of y + x db one octave above or below f will be attenuated to y db. 
Similarly, for two octave separation, EL can be y + 2 x db and so forth. 
Therefore, if the signal at f due to EL must always be smaller than y, 
there is a limit to the value of E _ as a function of its frequency proximity 
to f . In addition to the interference produced within a given bandwidth, a 
large signal can activate a number of circuit elements in proportion to its 
amplitude. This is shown in Figure 5C. A signal amplitude of y + nx db 
will be attenuated x db/octave and will cover n octaves before going below 
the minimum level of y db. This will operate all the circuit elements 
contained in n octaves, which is undesirable when reading the data. If 
only one circuit element is to operate per signal, some type of AQC system is 
required. To summarize, a non-ideal filter requires AQC and places a 
restriction on the ratio of E _/£_ as a function of frequency. 
Effect of Noise 
Let us consider the final condition of separating signal from noise. 
We assume first that the noise is uniformly distributed throughout the 
frequency band. Then, no matter which type of filter is used or where it 
is positioned in the frequency band, it will contain noise. Therefore, 
there is alwayn some noise introduced into the system. The amount of noise 
is a function of the total noise power and the ratio of the input bandwidth 
to the filter bandwidth. In this case, the input bandwidth and the filter 
bandwidth are fixed so that the noise output of the filter is directly 
proportional to input noise. The minimum level of EL is a function of the 
noise out of the filter. Let us assume for the moment that E_ minimum is 
equal to the noise level out of the filter. This then makes E_ minimum 
directly related to total input noise. With noise in the system we can 
no longer define E_ arbitrarily or even as a given voltage level. It 
must be defined in terms of a S/N ratio with respect to the input or output 
12
noise. To be consistent, then, we should define EL maximum and E. 
maximum in terms of the noise level as a Reference. Thus, we can see 
that the Introduction of noise into a circuit using a non-ideal filter 
places restrictions on all the input signals. 
Recording Data 
A number of methods are available for recording the output of the 
comb filter. In the works here described, a multiple pen, paper chart 
recorder was used. There is one pen for each filter element. Since there 
is no scanning involved, no time is lost searching for the signal. This 
gives the additional capability of recording multiple satellites 
simultaneously. 
13
FILTER DESIGN 
Overall Comb Filter 
Having defined the Input signal characterletlcs and the relation between 
these signals and a general form of narrow band filter, the overall comb may 
now be outlined In block form, starting with the minimum block, any necessary 
Items may be added as needed. Figure fe shows the basic receiver with the 
three variables, l^, B^, and ^ as output signals, and a recording element. 
We denote the signals out of the receiver by the subscript R and the signals 
out of the filter by the subscript F, and consider these three variables and 
their effect on the design of the comb. First, we consider the noise voltage 
V Since there Is always some noise out of the filter, the gain K Is limited 
to a value which brings E^ Just below the threshold level. Now we assume a 
given ratio ofE^ which gives a ratio E^E of one. E^ then Is the 
minimum signal that will just operate the recorder. We conslL now the effect 
of the receiver gain decreasing by a factor of two. The Input S/N ratio, 
Ej^/E^, remains fixed, but E^ has decreased by a factor of two. If K is 
fixed, then E^ will no longer operate the recorder, it now requires a 
larger S/N ratio than before. If the receiver gain increases, the noise will 
operate the recorder. Thus, to obtain maximum sensitivity, that is minimum S/N 
ratio, and no extra readouts due to noise - the noise level must remain fixed 
Just below the threshold level. Therefore, a constant noise input must be 
provided to the filter with some type of AGO system. The conventional AGO 
maintains a constant r.m.s. output by adjusting the sum of the noise plus 
signal to be a constant. A large undeslred signal will cause the receiver 
gain to be decreased and produce the undesirable effect of reducing the noise 
output. An AGC based on noise only, which will maintain a constant noise 
output even in the presence of a large signal, is necessary. Figure 6B 
Aows this noise AGC circuit added to the comb. Having determined previously 
that the noise out of the receiver can vary as much as 5 to 1 and that the 
maximum level is one volt r.m.s., the noise AGC circuit must be designed to 
handle from 0.2 to 1.0 volts r.m.s, input and produce a constant output. 
14 
•
Let us consider the effect of the other variables £_ and EL In the 
non-Ideal filter. Large values of the sine waves will not be controlled by 
the noise AOC, but they must be controlled If they are to operate only one 
filter. At this point we consider the signal AGO as acting on all the 
filters. If the signal AGC circuit operates on the basis of Input amplitude, 
then pre-fliter AGC Is not possible. This Is so because the Input signal 
can be very small compared to the noise and still be capable of operating 
more than one filter. This small signal cannot be recognized In the noise 
on the basis of amplitude. The post filter signal Is always larger than 
the post filter noise and It Is at this point that we must develop the AGC 
voltage. If the signal AGC Is developed from all the filters on the basis 
of total signal and applied to a common amplifier, then only the largest 
signal will be read. This Is not desirable. AGC must be developed on 
each board and applied to only those boards which would have given an 
ambiguous output, and preferably In an amount which Is proportional to the 
received signal In each board. Fig. 6C shows the complete comb with 
Individual signal AGC on each element. The methods of applying this AGC 
will be covered later. 
Wvunber of Elements 
The next step Is to determine the number of elements needed In the 
comb. This is a question of how many filters are needed in the 12 kc 
frequency band. Considering that there are a minimum number of data points 
available, and each lasts the minimum time, each point must be read. 
Complete coverage of the 12 kc band would require filters at 10 cps spacing. 
Since each filter element is fairly complex, a complete system would represent 
a considerable investment. It was decided to try a token number of filters to 
prove the system before expanding to the total 1200. This trial comb was 
selected to cover only 5600 cps at 20 cps spacing with l80 filters. Its in-put 
can be switched three times to cover the entire 12 kc band. 
Having determined the overall block diagram for the system the 
individual blocks can be developed in detail. 
15
Receiver Noise AGC 
cntcurF issiair 
A need for an AQC circuit which is activated by noise only has been 
discussed. Actually, it is Inpossible to make a circuit which is sensitive 
to noise only. The best approach appears to be one which gives the maxi» 
mum rejection to the interfering sine waves. This rejection can be on the 
basis of amplitude, tlrj, or frequency. Amplitude rejection is not feasible 
because the interference can be larger than the noise, thus we must depend 
on a time or frequency discrimination. 
Let us consider first time discrimination. Up to this point consideration 
has been given to the total change in noise level but not the rate of change of 
level. The change in noise level is basically due to effective sky tempera-ture 
change with antenna orientation. An antenna scan from horizon to 
horizon requires fifteen seconds. Thus, a time constant of one second for 
the AOC will permit the gain control voltage to follow the noise. However, 
the desired signals of 0.1 second duration will have little effect on the 
AQC because they are not present long enough. Meteor trail echos and 
signals received via scatter propagation from the transmitter which are 
present for long periods will not be rejected by an AGC system with a 1 second 
time constant. 
We now consider what frequency discrimination will do. Feedthrough 
(signals arriving via tropospheric propagation), is always present at a 
fixed frequency. If the noise is sampled in a narrow frequency band it is 
possible to exclude the feedthrough altogether. The probability of receiving 
trail echos Is also reduced considerably. 
Thus, it can be seen that time discrimination will eliminate short 
duration signal interference, and frequency discrimination will eliminate 
most of the feedthrough and meteor interference. Figure 7 shows a block 
diagram of the circuit. The noise plus signal go through the gain controlled 
amplifier to two outputs, the output to the filter bank and the output to the 
control circuit. The amplifier is followed by a filter at a center frequency 
of 6 kc with a bandwidth of l60 cps. The total noise bandwidth is 16 kc, so 
a reduction of noise in the filter of 10 to 1 occurs. However, a signal in 
16
this bandwidth Is not reduced, at all. Therefore, a S/N ratio of 1 at the 
Input to the l60 ops filter would result In a S/N ratio of 10 at the output 
of the filter, which would give too much weight to the signal. It Is 
necessary to follow the l6o cps filter with an anpllfler-llalter combination. 
The noise level Is adjusted to approximately one-half of full output and any 
signal Is then limited to twice the value of the noise. This procedure still 
gives more than adequate range for variation In noise level to operate the 
AGO amplifier. The limiter Is followed by a rectifier, to convert the signal 
to a d.c. voltage, and a d.c. amplifier to provide loop gain. There Is 
sufficient gain In the loop to handle a 20 to 1 variation of the Input with 
less than a 10 percent change In the output of the controlled amplifier. 
The integrator provides the time constant which is one second. The value 
of the time constant Is chosen to minimize the effect of signals with a 
duration shorter than one second. For example, a 0.1 second duration 
signal large enough to produce a d.c. output of twice the noise level would 
try to charge to twice the noise voltage level. However, it is present for 
only 0.1 second and would not Increase the voltage more than 10 percent. 
Without AGO, the decrease in sensitivity would have been at least ko percent, 
for a S/N of 1 and greater for larger S/N ratios. The only type of signal 
which could cause interference would be a long duration trail echo. By 
reducing the bandwidth we have reduced the probability of this occurring. 
All other signal effects from feedthrough, short duration desired signals, 
and high rate head echos are reduced considerably. 
17
Q MÜLTIPLIKR 
B—ic Feedback Clreuit 
The 10 ope narrow bend filter la im the form of a Q multiplier 
using standard L and C components. Since the frequency band to be 
covered Is 2 kc to lU kc, Q's range from 200 to lUoo to provide the 10 eps 
bandwidth at the various frequencies. With nominal coll Q*s In the order 
of 100, multiplication la from 2 to Ik. The problem was to design a small 
compact circuit capable of providing these Q*s with as much stability as 
possible. An analysis was made of Q multiplier circuits to determine the 
best design criteria. Basically, any LC oscillator circuit with the 
positive feedback below the oscillating point will. If used as an amplifier, 
produce an Increase In the Q. However, the question Is, how stable Is this 
new Q value, assuming nominal stability of the variables Involved. Before 
this can be resolved, the circuit action which produces the multiplication 
must be understood. 
Two types of feedback circuits were compared, one In which the feed-back 
factor, B, Is positive only and the other, where B Is a composite of 
positive and negative feedback. In both cases the positive B network 
uses an LC resonant circuit. 
Let us consider first the basic feedback circuit, as shown In Figure 8, 
In which B Is fixed. E, Is the Input voltage to the whole circuit, E Is 
the Input to the amplifier of gain K, and B Is the feedback factor. Equations 
1, 2, and 3 can be written by Inspection. 
E1 - E1 + E^ (1) 
E^ - E2 (2) 
E2B = Efb (5) 
Substituting (2) and (5) into equation (1) gives 
E2/K = E1 + E2B CO 
18
Rearranging equation (h) gives the form 
E (1 -B) - E 
R ± 
VE1 " V(l-BK) - K» (5) 
Thl» Is the fort» of the standard feedback equation where K« Is the closed 
loop gain. Honnally In this type of circuit, B Is fixed with frequency 
and K« Is Investigated with respect to changes In K. However, In the Q 
multipler It Is B which Is variable. Figure 9 shows the basic Q multiplier 
In which B Is positive and the B network Is a resonant circuit. If we 
consider the B network with E2 as constant In amplitude but variable In 
frequency, then E^ will vary as the LC circuit goes through resonance. Since 
B Is defined as being the ratio of E^ to Eg, B will also vary with frequency. 
The variation of B with frequency Is shown In Figure 10. The 3 db bandwidth 
is determined by the loaded Q of the resonant circuit. 
Q Multiplier as a Function of the Output Voltage 
If the Q multiplier can be evaluated in terras of the output voltage 
then it can later be defined in terms of B and K. In Figure 9, If the 
feedback circuit Is disconnected at point x and a curve is drawn of output 
versus frequency, curve A in Figure 11 would be obtained. Then, upon re-connecting 
the circuit, draw a second curve of output versus frequency and 
curve B would be obtained. Since the feedback is positive, curve B would 
be larger in amplitude. It is noted that curve B has been adjusted in 
amplitude so that the intersection of the two curves is at E which is the 
3 db point on curve A. Also, the 3 db bandwidth, Afg, of curve B is smaller 
than the 3 db bandwidth, Af^, of a curve A. If we denote the Q of curve B, 
Q2, and the Q of curve A, Q1, then the Q multiplier, M, is the ratio of the 
Q's as shown in equation (6). 
M = Qg/^ = A^/Af,, (6) 
Let us denote the peak value of curve A, E^, and the peak of curve B, IL . 
If the assumption can be made that R1 and R2 in Figure 9 are greater than 
the Z of the resonant circuit, then the voltages are directly proportional 
19
to the Q* a and: 
By substituting E-. ■ i-1* E Into equation (7): 
This defines the multiplier in terms of the change of output voltage from 
Eo *> ^2« 
Q Kultiplier in terms of B and K 
Curve A In Figure 11 and the Beta curve of Figure 10 are both drawn 
for the same circuit Q; therefore E represents the output E_ with 0.7B 
O e. 
and E-2 the output with full B. Equations 9 and 10 give the closed loop 
gain with 0.7B and B, respectively. 
K£ - K/(l- .7BK) (9) 
q - K/(l- BK) (10) 
Equations 11 and 12 give E-p and E in terms of the closed loop gains. 
E1 KJ - E0 (U) 
El "l - ^ ^ 
Substituting equations 11 and 12 into equation 8 gives: 
KJ/IA iq, - M (13) 
Let Ki/ ^ ' A ^-^ 
Then A/l.4 - M (15) 
"A" is then the variable part of the multiplier M and will determine the 
stability of the new Q. "A" can now be expressed in terms of B and K by 
substituting equations 9 and 10 Into equation 14. 
» ■ l4 / ir^c " 1 + TS- (16' 
Figure 12 shows a plot of A versus BK. As BK approaches 1, A approaches 
infinity and the circuit will oscillate. It will be noted that the useful 
20
values of A lie In the range of BK from O.95 to O.999. This means that the 
circuit Is always relatively close to the oscillating point. Even with a 
low value of A of 6, a 5 percent change in B or K would cause oscillations. 
B, which Is made up of passive elements, can easily be held to one percent 
or less. However, K which Is the open loop gain is not nearly as stable, 
and In transistor circuits would be especially difficult to maintain. A 
circuit configuration which Is relatively independent of K would be much 
more desirable, and this is the second circuit to be discussed. 
The second circuit contains two loops, one positive and one negative, 
and is shown In block form In Figure 13. In this configuration the negative 
feedback Is fixed and the positive feedback varies as before. The total 
feedback, B, is the algebraic sum of the negative and positive B's. The 
equations at resonance and at the 3 db point are as follows: 
at resonance the total B B. ■ B +B- (17) 
K^ - K/{1- BtK) (18) 
at the 3 db point B«. - 0.7B+ + B- (19) 
K^ - K/(l- B; K) (20) 
By rearranging equation 1? and 19 and substituting into equation 20, KX may 
be expressed in the following form: 
W, - K/(l- Bt + 0.5 B+) (21) 
A, which is the ratio of Kj/K^, may be expressed in terms of BK as: 
0.3B K 0.3B.K 
A ' l- BtK + -LTl^K ' 1 ♦ TT-B^K (22) 
At this point a restriction must be made that B may never be positive. Then 
rearranging equation 22, by multiplying the second terra by B /B , 
0.5B B K 
A - :i + Bt l-BtK («') 
It will be noted that as K approaches infinity, the terra B.k/(1- B.K) approaches 
unity as a limit. A then approaches the value 1 « 0.3B /B. . Figure Ik shows 
a plot of equation 23 as A versus KB. for various values of B /B. . One can 
see that A in this case is relatively independent of KB. as long as KB is 
21. 
V
kept above 25. A Is, however, very dependent on the ratio B /B . If the B 
network., which «re nade ^ of passive elements, are held to+close tolersnces 
the circuit will be very stable, it Is virtually Independent of K as long as 
K Is large. 
Description of Final Circuit 
Figure 15 shows the schematic of this second circuit, which Is the 
circuit a. used in the filter b«*. The negative loop Is made up of Rfl and 
R6. The positive loop Is »^ and R2 In series, plus the resonant circuit. 
The basic amplifier Is d.c. coupled and RQ and R6 provide negative d.c. as 
well as negative a.c. feedback. This helps to, stabllze the d.c. operating 
point considerably. The circuit Is very tolerant of any variations In 
transistors. The Zener diode was added Instead of a dropping resistor to 
provide additional gain. R^ «d C, form a necessary phase correction network 
to stop oscillation caused by the large amount of negative feedback. Frequency 
is adjusted with the choice of coil and capacitors, and the Q is adjusted by ' 
setting the positive feedback level with R . 
Measurement of Q is difficult at the higher frequencies when one attempts 
to measure ♦ 5 cps at 12,000 cps. A method was devised to use an oscilloscope 
and speed UP this measurement. If the response of a resonsnt circuit to a ' 
step function is calculated, the envelope has the form, 
Amplitude of Envelope - S - E e "at (24) 
where a - R/2L, R is the series resistance of the coil and L is the Inductance 
of the coil. Since Q - 2 « fL/R, at resonance, 
a - R/2L - Äf/Q . «Af, (25) 
where Af is the bandwidth between 3 db points. 
This equation Is the same as the standard equation expressing the charge of a 
capacitor. The time constant In this case would be equal to l/a. The time 
constant can then be expressed as: 
• 
T = time constant ■ l/nAf (26) 
If a signal at the center frequency of the resonant circuit Is applied 
whose amplitude Is in the for*, of a step function and a measurement is made of 
the time response, we have a measure of the bandwidth. The time constant is 
32 milliseconds for all of the filters, irrespective of the frequency of the 
22
of the filter. This method has the advantage of permitting measurement of 
bandvidths less than 1 cps with ease and speed compared to the 3 db method. 
Tests Indicated that 1/2 cps bandvidths could be obtained before approaching 
the oscillating point. This (1/2 cps bandwidth) gives a multiplication of 
approximately 200 as the ultimate capability. Since the largest multiplication 
needed vas 14, all of the filters were operating well away from the 
oscillating point. 
25
SIGIIAL AOC 
Signal Contirol and AQC Pletrllmtlon 
The need has been previously determined for a post-filter signal AQC 
circuit. We have also seen that the filter used In this case will be a 
resonant circuit. This section will deal with the gain controlled amplifier, 
the generation of the control voltage and the distribution of this voltsge 
smong the filters of the filter bank. 
Assume an Ideal delayed AQC which starts to operate with a signal 
Just above the threshold level and has an output d.c. voltage which Is 
directly proportional to the input a.c. voltage. How consider the distri-bution 
of this d.c. voltage to the other filters. To do this visualize a 
group of filters with an input signal in the center filter. For ease of 
description, let us call the center filter A and the other filters as they 
progress away on either side of A, B, C, D, and so forth. This is shown in 
Figure 16k. There will be some signal voltage at all the filter inputs due 
to the signal at the Input of filter A. Since all the filters are resonant 
circuits, and of the same bandwidth, distribution of the voltage at each of 
the Inputs Is in the form of a resonance curve as shown in Figure l6B. The 
dashed line with an amplitude of X represents the threshold level. All the 
filters contained within the resonance curve above the threshold level would 
be actuating the recorder. 
Since the d.c. output voltage is directly proportional to a.c. Input 
voltage. Figure l6B also represents the AGC d.c. output of each filter. 
Filter A, which contains the signal at its frequency, has the largest d.c. 
output. This voltage can be distributed to the other filters with a resistive 
network, always to be larger than the AGC developed in the other filters. 
This is shown by the dotted lines in Figure 16B. The circuit can also be 
arranged to have the larger of the two AGC voltages control the gain in each 
filter. This will then cut off all of the filters except filter A. The 
resistive network is made in the form of a symmetrical ladder attenuator 
with equal sections. Since all of the filters are connected together with 
identical sections, the distribution of voltage is not peculiar to a 
2k
particular set of filters. The voltage will be distributed as shown on 
both sides of the strong signal, no matter which filter the signal 
frequency matches. This type of circuit has the advantage of keeping a 
minimum number of filters cut off. As an example, Figure 17 shows two 
main signals X and Y of different amplitudes and their AGC curves. The 
frequency covered Is a small portion of the total h kc band. Each 
signal cuts off a number of filters In proportion to Its amplitude. Yet, 
a signal such as A contained within the cut off region but larger than 
the distributed d.c. voltage will still be read. Any signal not In the 
cut off region can be read with maximum sensitivity. Thus, It Is 
possible for meteors, feedthrough, and many desired signals to be 
present simultaneously and still read each one by the operation of a 
single pen per signal. 
Circuit Analysis 
In the general description of the AGC action, several points were 
mentioned and assumed to be true without giving any proof. These were; 
the linearity of a.c. input to d.c. output, the cut off action of the 
distributed voltage, and the design of the ladder attenuator. These 
items will now be taken up in turn. 
Linearity of a.c. Input Versus d.c. Output 
Figure 18 shows a combined block and schematic form of the AGC 
circuit. The d.c. control voltage E^, is fed back across the series 
connected resistor R1 and diode D^^ This voltage determines the current 
and thus the resistance of D^^ ^ is a very low impedance to the 
operating frequency and acts only as a d.c. blocking device. D , in 
series with R2 to the input voltage ■ , determines the voltage E 
available to the fixed gain smpllfiers which follow. 
The forward drop across a diode is relatively independent of the 
current through it and for prsctical purposes can be considered a constant. 
If I represents the current through the diode, and R the resistance of the 
diode, then this constant voltage drop may be expressed as: 
I lU = constant = A (27) 
25
! 
It can also be expressed In the form: 
V(R1+V • I (28) 
If R1 is much larger than R- then equation 28 reduces to: 
^^l " A (29) 
Substituting equation 29 in equation 27 ve have: 
hchfil ' A (30) 
Since R1 is fixed in value equation 3 can be written in terms of a new 
constant as: 
Ej^ Up - AR1 - B » constant (31) 
If it is further assumed that there is sufficient loop gain to maintain 
the output of the a.c. amplifier constsnt, then: 
E ■ constant - E« G« 
«D (52) 
E2G2 * EIH R^TTg 02 
If R2 is larger than R^ then: 
Eo " EIN ^- G2 - C (55) 
Since 02, R2, and Eo are all fixed in value, 
Eo R2/G2 * constant « EIN'^ ^ D (5^) 
Substituting the value of IL from equation 31 Into equation 34 gives: 
«a8^ ' D 
E 
IN ' D/BEDC = KEDC (55) 
Equation 55 shows E__ to be a linear function of E . 
DC IN 
26
C—u—to^ff—Ac—t^io_n _of_AQ_C ^ 
It is readily apparent that we can feed back a voltage which is larger 
than the AOC voltage on any given filter, but it would appear that this 
voltage would merely reduce the gain and not cut off the filter. The 
following discussion will show how the cutoff action takes place. Figure 19 
gives a plot of two curves, curve A, the a.c. input versus the d.c. control 
voltage, and curve B, the a.c. input versus the threshold gain. By threshold 
gain is meant that gain which is required to give an output at the threshold 
level from the AQC controlled amplifier. Let S represent the signal in filter 
A, and P represent the signal in filter B. At signal level P, Q represents 
the AOC voltage developed and R is the gain required to bring P up to the 
threshold level. However, T represents the AOC voltage at filter A and U 
shows that portion which is fed back from filter A to filter B. If the 
voltage U controls filter B then it will produce gain V which is lower than 
gain R, and filter B will no longer have adequate gain with input P to 
reach the threshold level. This feedback voltage will work in a similar 
manner for all the other filters. 
Ladder Attenuator 
Figure 20 shows the network and filter connections. Let us consider 
only a part of the network as shown In Figure 20b. Let E. be the Input 
voltage and E2, Ej, and E^ be the voltages down the attenuator. Since each 
section has an impednace Z, then: 
E^ - Z/(R1 + Z) - Ej/Eg « Eu/E5 . X (56) 
There is a fixed loss ratio of X as one progresses down the network. Equation 
36 can be rearranged to give R as a function of Z and X. 
R1 = Z (1- X)/X (37) 
Using only one section of the network as shown In Figure 20c, Z can also be 
written equal to the parallel combination of R2 and IL plus Z In series: 
(38) 
("a; (Ki ♦ z) 
R2 + (1^ + Z) 
27
Substituting equation 37 In equation 58 gives: 
(59) 
■ - R2 f/Rs * |) 
R2 - Z/(l-X) 
Thus, equation. JT and 59 give ^ «d ^ In terms of 2 and X, where Z Is 
determined by circuit Impedances and X Is a function of the distribution 
desired. Pigure 21 shows the resonance curve (a) as well as the distribution 
curves for several values of X. The final choice of X Is somewhat arbitrary, 
however, there are some circuit considerations. To be sure that the larger 
voltage always controls the AOC, a diode D2 was added as shovn In Figure 18. 
To obtain the best circuit operation, one must alwsys maintain a few tenths 
of a volt back bias across Dg. This requires that X must be chosen so that 
the curve Is high enough at Its extremities. X Is not a fixed value, since 
the resistor R2 la actually the parallel combination of R and the filter 
resistance, as shown In Figure 2QA. This Input resistance Is variable with 
signal level and will vary from 2QK with large signals to 1 Megohms with 
small signals. This condition is helpful since it produces larger values 
of X with small signals which will occur at the extremities of the curve. 
In this particular case, linearity of the signal in the AGC amplifier 
is not too important. However, it is important in the noise AGC amplifier 
The input voltage across the diode must be kept below 50 millivolts to keep 
distortion at a minimum. 
28
Threshold Circuit 
This section covers the threshold circuit and the relation of the s/w 
ratio to the threshold level. Up to this point the minimum usable signal 
was considered as one which produced a S/H ratio of unity past the 10 cps 
filter. Actually this Is the theoretical limit which we would like to 
achieve, hut never quite realize In practice. This Is best explained by 
reference to the block diagram and the various signal levels which occur 
as shown In Plgure 22. The signal and noise are rectified, filtered, and 
then go to a differential amplifier. The other Input to the differential 
amplifier Is a reference level which determines theltoreshold level. When 
the rectified Input exceeds the threshold level the recorder writes. 
The signals are presented plctorlally below the block diagram of 
Figure 22. At the input to the rectifier shown In (A) we have the signal 
whose frequency Is fc, and the noise which contains the frequency components 
between fc - 5 cps and fc + 5 cps. The next set (B), shows the full wave 
output of the rectifier. Up to this point the signal is in the frequency 
range between 2 kc and 6 kc. Set (C) shows the output of the low pass 
filter. It is seen that the signal d.c. component is clean because all of 
the ripple components are high compared to 10 cps and are removed. The noise, 
however, consists of all frequencies between f -5 cps and f + 5 cps and 
its rectified output contains all the difference frequencies between the noise 
components in this band, that is, 0 to 10 cps signals. The rectified noise 
output then contains a d.c. component and ripple in the 0 to 10 cps region. 
The next set, (D), shows two conditions, one, when both signal and noise are 
present and Just equal to the threshold level, and the other when the same 
amount of noise is present but without signal. In the first case the noise 
ripple causes the voltage level to go below the threshold which causes a 
miss in the output when the signal is present. The second case shows the 
noise ripple exceeding the threshold and giving a false data pulse when 
the signal is not present. The total number of false alarms which can be 
tolerated depends on the read out system. The general approach to eliminate 
these errors is to lower the noise and increase the signal, as shown in 
29
Figure 22 Z, to olnlalse the occurrence of misses and false alaras. This, 
of course, calls for a better S/H ratio and lowers the overall sensitivity 
of the system. The actual loss can only be determined by experience with 
field data on a particular system. Since the final system has not been 
constructed, a firm figure Is not available. However, general tests Indicate 
that a loss of 6 db to 9 db could be expected. 
50
TESTS AND EVALUATION 
General 
A brief description of the tests performed on the comb filter Is 
given In this section. Initial tests for stability of the frequency and 
Q of the filter disclosed a need for temperature control. The relay 
rack used to house the filters and power supplies was equipped with 
blowers, heaters and a thermostat to provide temperature control. A 
temperature range of from 92 to 98 degrees P was maintained with this 
system. This was adequate to maintain the frequency of the filters 
within + 2 cps and the Q within 10 percent of design values. However, 
the threshold level and threshold gain had a 3 to 6 db variation in 
sensitivity between individual filters. As the following figures, 
53 through 3^, show not all of the filters begin to write at the same 
signal level. This sensitivity effect is most noticeable when viewing 
the noise background, which shows light and dark lines instead of uniform 
gray lines. This effect can be eliminated by a modification of the d.c. 
amplifiers in the filters and recorder, but was not done on the prototype 
because of the time required to make the change. 
Since the main use of the comb was for tracking satellites, tests 
were made for specific satellite tracking problems, as well as general 
problems. The following figures show simulated satellite signals as 
well as actual satellite signals obtained from field station magnetic 
tape records. In Figures 23 through ^ the paper was moving vertically 
at 0.1 inch per second, so the vertical axis represents time. The pens 
are spaced horizontally across the paper and each pen is connected to a 
filter, the filters being spaced 20 cps apart. Each presentation is 
then a frequency versus time graph. A total of 120 filters were used in 
the tests, giving a total range from 2 kc to 4.1+ kc. 
Simulated Signals 
As mentioned in the previous section, the relation of the noise level 
to the threshold level is determined by the type of recording system to be 
used with the filter. The first test was to determine the optimum noise 
31
level for maximum signal-to-nolse ratio, as Is shown In Figure 23* Signal 
was mixed with noise and applied to the Input of the filter. The noise 
level was maintained fixed while the frequency of the Input sine wave was 
varied from 2 kc to k.k kc. During the sweep, the amplitude of the sine 
wave was varied in amplitude in three steps, which divide the sweep into 
three equal parts. The sine wave amplitude steps used were - 27 db, -30 db, 
and -33 db with respect to the noise in all cases. The noise levels were 
from 100 millivolts to 250 millivolts as shown in the figure. By inspection 
of Figure 23 it is easy to see that the 150 millivolt noise level is optimum. 
These tests were made using a 20 kc bandwidth noise source and the 10 cps 
filters. With this combination, and input signal-to-noise of -33 db would 
provide a post filter signal-to-nolse ratio of one. It is seen that at the 
150 millivolt noise level some points are still readable at the -33 db sine 
wave level. With noise levels above 150 millivolts the system becomes 
saturated with the noise, and at lower levels the system becomes less 
sensitive. However, in the scanning beam antenna tracking system, which 
provides fewer data points, it would not be possible to read the data at 
the optimum sensitivity noise level. There would be hundreds of noise 
points for each data point. In the Interest of trying to anticipate the 
loss of sensitivity associated with fewer data points. Figure 2k shows 
higher post filter signal-to-noise ratios. Figure 2k is similar to Figure 23 
except that the noise levels vary from 100 mv to 70 mv and the signal levels 
vary from -21 db to -30 db. In the scanning beam system, data points would 
have been obtained every 15 seconds or 1.5 Inches apart on the graph paper. 
If one used the criterion that there should be approximately the same number 
of data points as there are noise points then the 70 mv noise level with a 
-21 db sine wave level would be about the right choice. This is 9 db less 
sensitive than the optimum case which was anticipated. 
One very important feature is the response of the filter to a signal 
with a high rate of change of frequency. Tests were run on the comb filter 
to indicate the minimum usable signal for a given rate of change of 
frequency in cps/s. The results are shown in Figure 25. It is interesting 
32
to note that a loss of sensitivity did not occur until a rate exceeding 
Af was resched, and that rates in excess of 100,000 cps/s could be seen 
with a signal-to-noise ratio of one at the input to the filter. 
The next test, shown in Figure 26, was with various signal levels to 
test the action of the signal AOC. Signals from -30 db to + 6 db with 
respect to the noise were used. The AOC performed well up to 0 db. At 
+ 6 db the system began to overload as indicated by the dark traces in 
the background noise. Figures 27 and 28 show the action of the AOC 
with two signals present. Figure 27 shows a strong fixed frequency 
signal at -6 db level. By noting the background noise it can be seen 
that this signal is strong enough to cut off the noise from 18 filters 
and the chart appears clear on both sides of the strong signal. The 
second signal is a sweeping frequency with amplitude levels from -12 db 
to -30 db. It can be seen that the stronger signal at -12 db overrides 
the cutoff action of the -6 db fixed signal, but the weaker does not. 
Figure 28 shows two signals crossing simulating the data from two 
satellites tracked simultaneously. Since they are at the same amplitude 
all of the points are readable on both curves. 
Satellite Signals 
During the time that the satellite fence was in operation, many 
active and passive satellite signals were recorded on magnetic tape. 
These magnetic tapes were used to produce the chart records shown in 
Figures 29 through jk. As a means of comparison with the methods used 
at the APRA stations, chart records are shown of the same satellite 
passes that were tracked with the ALO-tracking filter combination. 
Section "A" of each figure is the record made with the comb filter, and 
section "B" is the ALO-tracking filter record. Figures 29 through 53 
show satellite i960 Delta revolutions 12i*, iko, 156, 165, and 172. 
Figure 3^ shows an active track of Jupiter C during the launch phase. 
The arrows on the figures indicate the frequency limits of the tracking 
filter records. In general, the comb filter tracked the signal for a 
longer period. This was expected since the best sensitivity of the ALO 
33
was -21 db, and could not pick up the signal as soon. However, after a 
lack was obtained the tracking filter was Independent of the ALO and 
Its sensitivity was Identical to the comb filter. 
The signals on the tapes had a frequency range from 2 kc to 12 kc. 
It was necessary to mix the tape signals with a signal from an oscillator 
to provide the comb filter with frequencies In the 2 kc to U kc range. 
Tests with simulated signals on the mixer Indicated a 6 db loss In the 
S/N ratio as a result of the mixing. Therefore, In comparing the two 
types of records, the signal level for the comb filter should always 
be taken as 6 db less then that for the ALO record. 
8u—ary 
The test records of simulated and actual satellite signals show that 
the comb filter prototype has met all of the design requirements. If this 
unit had been expended to the full compliment of 1200 filters it would 
have provided an effective tracking capability for the scanning antenna 
system. This model has proven the advantages and disadvantages of this 
type of system. It provides an excellent answer to tracking short duration, 
high rate of change of frequency signals. 
RICHARD L. VTEEK 
54
BRL-DOPLOC REPORTS 
Ho. 1 
Ho. 2 
Ho. 3 
Ho. 4 
Ho. 5 
Ho. 6 
Ho. 7 
Ho. 8 
Ho. 9 
Ho. 10 
No. 11 
No. 12 
No. 15 
HRL Mono Report Ho. 1055 - October 1958, Doppler Signals and 
Antenna Orientation for a Doppler System, by L. P. Bolglano, Jr. 
CONFUEHi'IAL 
BRL Nemo Report Ho. llßj - January 1959, First Semi-Annual Technical 
Summary Report, Period 1 JMly 1958 - 31 December 195Ö, by L. 0. deBey, 
V. W. Richard, A. H. Hodge, R. B. Patton, C. L. Adams. COHPHKHTIAL 
BRL Tech Hote Ho. 1265 - June 1959, Orbital Data Handling and 
Presentation, by R. E. A. Putnam. UHCIASSIPIED 
BRL Tech Hote Ho. 1266 - JHily 1959, An Approach to the Doppler 
Satellite Detection Problem, by L. 0. deBey. COHPnEHTIAL 
BRL Memo Report Ho. 1220 - JUly 1959, Second Seml-Annual Technical 
Summary Report, Period 1 January - 30 June 1959, by L. 0. deBey, 
V. W. Richard and R. B. Patton. COHFITgNTXAL 
BRL Tech Hote Ho. 1278 - September 1959, Synchronization of Tracking 
Antennas, by R. E. A. Putnsm. UNCLASSIFIED 
BRL Memo Report Ho. 1237 - September 1959, A Method of Solution for 
the Determination of Satellite Orbital Parameters from DOPLOC 
Measurements, by R. B. Patton, Jr. UHCIASSIPIED 
BRL Memo Report Ho. 1093 - March i960. The Dynamic Characteristics 
of Phase-Lock Receivers, by Dr. Keats Pullen. UNCLASSIFIED 
Station Geometry Studies for the DOPLOC System, Stanford Research 
Institute. UNCLASSIFIED 
Final Report, Part B, Stanford Research Institute - July i960, DOPLOC 
System Studies, by W. E. Scharfttan, H. Rothman, H. Outhart, 
T. Morita. UNCLASSIFIED 
Philco Corporation - k May i960, Polystatlon Doppler System. 
UHCIASSIPIED 
Space Science Laboratory, General Electric Co. - October i960. 
Orbit Determination of a Non-Transmitting Satellite Using Doppler 
Tracking Data, by Dr. Paul B. Richards. UNCLASSIFIED 
Final Technical Report - University of Delaware - June 15, i960, 
Quantum Mechanical Analysis of Radio Frequency Radiation, by L. P. 
Bolgiano, Jr. and W. M. Gottschalk. UNCLASSIFIED
Ho. lU Plnal Report F/157, Columbia Italverslty - Pebruary 11, i960, 
SunMtry of the Preliminary Study of the Applicability of the Ordir 
System Techniques to the Tracking of Passive Satellites. 
UrciASSIPIBD 
Ho. 1? BRL Report Ho. 1110 - June I960, Precision Frequency Measurement 
of Holsy Doppler Signal, by V. A. Dean. UNCIASSIFIED 
Ho. 16 Third Technical Summary Report - Period July 1999 thru June 30, i960, 
BRL Nemo Report Ho. 1287, by A. L. deBey. UHCLASSIPIKD 
Ho. 17 Columbia University Tech Report Ho. T-l/157 - August 1, 1959, 
The Theory of Phase Synchronisation of Oscillators with Application 
to the DQPLOC Tracking Filter, by E. Krelndler. UHCIASSIFIED 
Ho. 18 BRL Tech Hote Ho. 13U5 - August i960, DQPLOC Receiver for Use with 
Circulating Memory Filter, by K. Patterson. UHCIASSIFIED 
Ho. 19 BRL Tech Hote Ho. 13U5 - October i960. Parametric Pre-Amplifier 
Results, by K. Patterson. UHCIASSIFIED 
Ho. 20 BRL Tech Hote Ho. 136? - December i960, Data Generation and 
Handling for Scanning DQPLOC System, by Ralph E. A. Putnam. 
UHCIASSIFIED 
Ho. 21 BRL Report Ho. 1123 - February 1961, The DQPLOC Instrumentation for 
Satellite Tracking, by C. L. Adams. UHCIASSIFIED 
Ho. 22 BRL Memo Report Ho. 1330 - March 1961, DOPLOC Observations of 
Reflection Cross Sections of Satellites, by H. T. Lootens. 
UHCIASSIFIED 
Ho. 23 BRL Memo Report Ho. 1362 - August 1961, Satellite Induced lonlzatlon 
Observed with the DOPLOC System, by H. T. Lootens. UHCIASSIFIED 
Ho. 2k BRL Memo Report Ho. 13^9 - August I96I, A Comb Filter for Use In 
Tracking Satellites, by Richard Vltek. UHCIASSIFIED 
Ho. 23 Final Summary Report on the BRL-DOPLOC Project - July I96I, by 
A. H. Hodge and R. B. Patton, Jr. UHCIASSIFIED 
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Washington 25, D. C. 
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Andrews Air Force Base 
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Eglln Air Force Base, Florida 
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U. S. Communications Agency 
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White Sands Annex - BRL 
White Sands Missile Range 
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Redstone Arsenal, Alabama 
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A comb filter for use in tracking satellites

  • 1. UNCLASSIFIED An 263 500 Reproduced Lf. ike ARMED SERVICES TEHNICAL INFORMfflOfi AGENCY ARLINGTON HALL STAnON ARLINGTON 12. VIRGINIA UNCLASSIFIED
  • 2. DISCLAIMER NOTICE THIS DOCUMENT IS THE BEST QUALITY AVAILABLE. COPY FURNISHED CONTAINED A SIGNIFICANT NUMBER OF PAGES WHICH DO NOT REPRODUCE LEGIBLY . .t. .
  • 3. NOTICE: When government or other drawings, speci-fications or other data are used for any purpose other than In connection with a definitely related government procurement operation, the U. S. Government thereby Incurs no responsibility, nor any obligation whatsoever; and the fact that the Govern-ment may have formulated, furnished, or In any way supplied the said drawings, specifications, or other data Is not to be regarded by Implication or other-wise as In any manner licensing the holder or any other person or corporation, or conveying any rights or permission to manufacture, use or sell any patented Invention that may In any way be related thereto.
  • 4. lim HI H ''allll ml MEMORANDUM REPORT NO. 1349 AUGUST 1961 A COMB FILTER FOR USE IN TRACKING SATELLITES ARPA Satellite Fence Series XEROX Richard L Vitek ASTM • Report Number 24 in the Series Department of the Army Project No. 503-06-011 Ordnance Management Structure Code No. 5210.11.143 BALLISTIC RESEARCH LABORATORIES I' ^KSmf^f^F. ^«:^M^<-«iw»w«irT'«;i/ar^.-^-«'trc-_''.'%' ..,•»-. ;:-•■';>....>.-.r;.-»»*«! ncvrm.w ABERDEEN PROVING GROUND. MARYLAND
  • 5. BALLISTIC RESEARCH LABORATORIES MEMORANDUM REPORT NO. 15^9 AUGUST 1961 A COMB FILTER FOR USE IN TRACKING SATELLITES ARFA Satellite Fence Series Richard L. Vltek Ballistic Measurements Laboratory Report Number 2k In the Series Department of the Army Project No. 503-06-011 Ordnance Management Structure Code No. 5210.11.1^5 ABERDEEN PROVING GROUND, MARYLAND
  • 6. BALLISTIC RESEARCH LABORATORIES MEMORANDUM REPORT NO. 13^9 RLVltek/bst Aberdeen Proving Ground, Maryland August I96I A COMB PILTBR FOR USE IN TRACKENO SATELLITES ABSTRACT This report presents the design and evaluation of a I80 element comb filter. This unit was developed In conjunction with the ARPA Satellite Fence program for the detection and tracking of non-radlatlng satellites. The primary purpose of this comb filter Is to detect and measure the ftrequency of short duration Doppler signals In the presence of nolae. The filter elements have a bandwidth of 10 cps and are spaced 20 cps apart to cover a 3800 cps frequency range. A multiple pen analog recorder Is used to record Individual filter outputs. The evaluation Includes data on simulated as well as actual satellite signals.
  • 7. TABLE OF CONTENTS Page HfPRODUCTION SYOTEM AND COMB PARAMETERS o FILTER CONSIEERATIONS ^ FILIER DESIGN , %jk CIRCUIT DESIGN l6 TESTS AND EVALUATION 51 APPENDIX I, BIBLIOGRAPHY OP REPORTS IN THE BRL-DOPLOC SERIES. ... 55
  • 8. imODUCTION The Ballistic Research Laboratories have been engaged in tracking satellites since the first Sputnik on October k, 1957. This tracking was accomplished with the DOPLOC (DOploc Phase LOCk) system. Tracking, in this case, means the reception of radio frequency signals and the recording of their frequency versus time characteristics. The frequency shift is a result of the Doppler effect associated with a moving source. The received signals were so weak that a phase-locked tracking filter was required to separate the signal from the noise. The signals were obtained either directly from a satellite borne transmitter (active) or indirectly from a ground transmitter by reflection from the satellite (passive). A very brief description of DOPLOC will be presented here as a background for the comb filter requirements. The block diagrams presented have been greatly simplified and equipment not directly related to the comb filter has been omitted. Figure la is a block diagram of the DOPLOC receiving system for tracking active satellites. With the signals received from active satellites, low gain broadbeam antennas were used with a manually locked narrow bandwidth tracking filter. The filter had bandwidths from 0.5 to 50 cps which gave a slgnal-to-noise (S/N) improvement up to 1+2 db. This unit provided a clean, continuous output Doppler signal. The results obtained with this system were excellent. Continuous Doppler signals were received throughout the passage of satellites from horizon to horizon. Multiple satellites were tracked by having a tracking filter for each signal. Figure lb shows a typical Doppler data curve of frequency versus time. With the advent of passive tracking, the DOPLOC system was extended to include illuminating the satellite and receiving reflected Doppler signals. Because of the relatively weak received signals in the passive or reflection system, high gain, narrow fan beam antennas had to be employed. The Interim DOPLOC Satellite Fence stations, as set up in September 1959 under ARPA sponsorship, contained three, fixed, 8° X 800 beamwidth antennas with the same type of receivers and phase-locked 7
  • 9. filters used with the active satellite tracking system. This system, shown In Figure 2k, no longer produced continuous data but gave three portions of the Doppler curve as shown In Figure 2B. Received signals above the noise threshold lasted 5 to 8 seconds In the center beam and 15 to 20 seconds In the north and south beams. These signal durations were so short that manual lock-on of the tracking filter was no longer feasible. An automatic system was designed which located the desired signal and locked the tracking filter to It. This automatic lock-on system functioned reasonably well, but It did not provide maximum sensitivity or acquisition capability. The final system as proposed to ARPA Is shown in Figure 3A. This system contained a 1.^° x 40° scanning fan beam antenna. The scan rate was high compared to the satellite rate of travel and data were to be obtained at short Intervals throughout the curve as shown In Figure SB. The phase-locked tracking filter was no longer compatible with this type (short duration) signal, even with the use of an automatic lock-on system. A new filter-recorder combination was required which could locate and record short duration signals. This lead to the development of the comb filter herein described. 8
  • 10. SYSTEM AM) COMB PARAMETERS System Considerations The comb filter design Is related to the electrical noise and signal environment In which It must operate. This environment can be divided Into three parts; desired signal, noise, and spurious signals. These signals are determined by the DOPLOC system parameters. Therefore, a more detailed look at the DOPLOC system Is required to determine Its output signal characteristics. A major advantage of the DOPLOC Satellite Fence Is Its Inherent ability to provide all of the orbital parameters from the data obtained during a single pass of a satellite. A minimum of twelve data points are considered necessary to provide an adequate orbital solution. Therefore, the antenna configuration and motion, which determine the number of data points, must be tailored to provide at least twelve data points. In addition to this restriction, there are three other basic parameters which determine the signal conditions. They are the carrier frequency, the satellite velocity, and the slant range to the satellite. A carrier frequency of 108 rac and satellite velocity of 300 miles per minute give a Doppler frequency shift of approximately 12 kc. All three parameters determine the rate of change of frequency, which, at closest approach, Is 25 cps/s at a satellite altitude of 1000 miles and 100 cps/s at 100 miles altitude. The maximum rate of change of frequency of 100 cps/s determines the minimum usable bandwidth of 10 cps. This bandwidth In turn sets the time available to recognize a signal at 100 milliseconds. This time of 100 milliseconds determines the maximum scan rate for a given antenna beamwldth. Since twelve data points are required on each pass, there la also a minimm scan rate associated with the low altitude passes. If the antenna seem Is made fast enough to obtain at least twelve points, where each point Is 100 milliseconds In duration, an antenna beamwldth of l.k degrees is required. To summarize, the desired signal characteristics are, a 12 kc frequency shift, a maximum rate of change of frequency of 100 cps/s, and a signal duration of 100 milliseconds.
  • 11. SpurlouB Signale In addition to the desired signal, there are other signals which are present and important. In a reflection system using a high power ground transmitter, forward tropospherlc scatter generally occurs to some extent. Field experience Indicates that this feedthrough level can be equal to the receiver noise level. This signal, although fixed In frequency, must be considered In the filter design. Meteors also present a problem. Here, field experience Indicates that two types of echos are present, a head echo and a trail echo. The head echo will cover the entire Doppler frequency range at a very high rate of change of frequency. The trail echo Is relatively fixed In frequency and of large amplitude. The trail echos generally occur near the center of the Doppler frequency band. The head echos are discriminated against to a large extent because of their high rate of change of frequency. Noise Bandwidth and Amplitude Noise bandwidth and noise level considerations are of prime Importance. The noise bandwidth Is Important In that the overall bandwidth reduction determines the dynamic range required of the comb filter. The noise level must be considered both from the standpoint of absolute level and variation of level. With a given, fixed, bandwidth reduction, the noise level determines the minimum usable signal level. The variation in level is important in the automatic gain control (AGC) design. The R 390/A receiver used in the DOPLOC system has a maximum I. F. bandwidth of 16 kc, which is adequate to cover the 12 kc Doppler frequency shift. The maximum audio signal, without any danger of clipping, is one volt r.m.s. The noise level is a function of the receiving antenna orientation with respect to cosmic noise sources, as well as the receiver gain. An overall variation of 5 to 1 in noise voltage output of the receiver is possible due to the combined variations of cosmic noise and receiver gain. 10
  • 12. FILTER CONSIDERATIONS Ideal and Practical mter for Sine w»v»g Once the Input signal characteristics have been defined, the performance characteristics desired for the comb filter «ay be outlined. The basic comb filter Is a multiplicity of narrow band elements dlstrlb-uted uniformly through a given frequency band. This Is shown graphically in Figure i*. The problem may be better understood by first examining and Ideal filter and comparing Its operation with the actual filter Consider an Individual Ideal element as shown In Figure kB to be 10 cps vide with a flat top and having Infinite side slope attenuation. This 10 cps filter is placed In a recording circuit as shown In Figure i* The circuit contains the filter, an amplifier of gain K, and threshold circuit and a recorder. The recorder Is an go no-go device. The threshold and recorder combination are such that the input to the threshold circuit must equal or exceed a given level E^ for the recorder to operate. Let us make one further stipulation that the circuit have unlimited dynamic range. These conditions describe an Ideal circuit element. To further simplify the problem, let us consider the effectiveness of the circuit to separate only two sine wave signals; first, » , the desired signal, whose frequency is contained within the bandwidth and second, E, , the undesired signal, with variable amplitude and frequency but outSde the bandwidth. What, if any, restrictions does this ideal circuit present to these two signals? With an ideal filter with infinite side slopes at the input, the un-desired signal may be as close to the band edges as possible and as large in amplitude as desired and it will never present any interfering output signal within the desired bandwidth. Thus, there is no minimum amplitude restriction on ^ as a function of E^. Also, as long as we are willing to make the gain K large enough to amplify ^ to ^ ED has no minimum level. Ep also has no maximum level. The signals may be as small or as large as desired and still be recognized, and each will operate only one circuit element. 11 V
  • 13. Let us replace the Ideal filter with one of finite side slope of x db/octave, and center frequency f , as shown In Figure 5A, and consider its effect on the frequency and amplitude characteristics of E_ and E . We select some arbitrary minimum level for E_, say y db, and plot £._ as a function of frequency vhlch will provide a signal level of y db at f . This Is shown in Figure 5B. Since we have an attenuation of x db/octave, a signal of y + x db one octave above or below f will be attenuated to y db. Similarly, for two octave separation, EL can be y + 2 x db and so forth. Therefore, if the signal at f due to EL must always be smaller than y, there is a limit to the value of E _ as a function of its frequency proximity to f . In addition to the interference produced within a given bandwidth, a large signal can activate a number of circuit elements in proportion to its amplitude. This is shown in Figure 5C. A signal amplitude of y + nx db will be attenuated x db/octave and will cover n octaves before going below the minimum level of y db. This will operate all the circuit elements contained in n octaves, which is undesirable when reading the data. If only one circuit element is to operate per signal, some type of AQC system is required. To summarize, a non-ideal filter requires AQC and places a restriction on the ratio of E _/£_ as a function of frequency. Effect of Noise Let us consider the final condition of separating signal from noise. We assume first that the noise is uniformly distributed throughout the frequency band. Then, no matter which type of filter is used or where it is positioned in the frequency band, it will contain noise. Therefore, there is alwayn some noise introduced into the system. The amount of noise is a function of the total noise power and the ratio of the input bandwidth to the filter bandwidth. In this case, the input bandwidth and the filter bandwidth are fixed so that the noise output of the filter is directly proportional to input noise. The minimum level of EL is a function of the noise out of the filter. Let us assume for the moment that E_ minimum is equal to the noise level out of the filter. This then makes E_ minimum directly related to total input noise. With noise in the system we can no longer define E_ arbitrarily or even as a given voltage level. It must be defined in terms of a S/N ratio with respect to the input or output 12
  • 14. noise. To be consistent, then, we should define EL maximum and E. maximum in terms of the noise level as a Reference. Thus, we can see that the Introduction of noise into a circuit using a non-ideal filter places restrictions on all the input signals. Recording Data A number of methods are available for recording the output of the comb filter. In the works here described, a multiple pen, paper chart recorder was used. There is one pen for each filter element. Since there is no scanning involved, no time is lost searching for the signal. This gives the additional capability of recording multiple satellites simultaneously. 13
  • 15. FILTER DESIGN Overall Comb Filter Having defined the Input signal characterletlcs and the relation between these signals and a general form of narrow band filter, the overall comb may now be outlined In block form, starting with the minimum block, any necessary Items may be added as needed. Figure fe shows the basic receiver with the three variables, l^, B^, and ^ as output signals, and a recording element. We denote the signals out of the receiver by the subscript R and the signals out of the filter by the subscript F, and consider these three variables and their effect on the design of the comb. First, we consider the noise voltage V Since there Is always some noise out of the filter, the gain K Is limited to a value which brings E^ Just below the threshold level. Now we assume a given ratio ofE^ which gives a ratio E^E of one. E^ then Is the minimum signal that will just operate the recorder. We conslL now the effect of the receiver gain decreasing by a factor of two. The Input S/N ratio, Ej^/E^, remains fixed, but E^ has decreased by a factor of two. If K is fixed, then E^ will no longer operate the recorder, it now requires a larger S/N ratio than before. If the receiver gain increases, the noise will operate the recorder. Thus, to obtain maximum sensitivity, that is minimum S/N ratio, and no extra readouts due to noise - the noise level must remain fixed Just below the threshold level. Therefore, a constant noise input must be provided to the filter with some type of AGO system. The conventional AGO maintains a constant r.m.s. output by adjusting the sum of the noise plus signal to be a constant. A large undeslred signal will cause the receiver gain to be decreased and produce the undesirable effect of reducing the noise output. An AGC based on noise only, which will maintain a constant noise output even in the presence of a large signal, is necessary. Figure 6B Aows this noise AGC circuit added to the comb. Having determined previously that the noise out of the receiver can vary as much as 5 to 1 and that the maximum level is one volt r.m.s., the noise AGC circuit must be designed to handle from 0.2 to 1.0 volts r.m.s, input and produce a constant output. 14 •
  • 16. Let us consider the effect of the other variables £_ and EL In the non-Ideal filter. Large values of the sine waves will not be controlled by the noise AOC, but they must be controlled If they are to operate only one filter. At this point we consider the signal AGO as acting on all the filters. If the signal AGC circuit operates on the basis of Input amplitude, then pre-fliter AGC Is not possible. This Is so because the Input signal can be very small compared to the noise and still be capable of operating more than one filter. This small signal cannot be recognized In the noise on the basis of amplitude. The post filter signal Is always larger than the post filter noise and It Is at this point that we must develop the AGC voltage. If the signal AGC Is developed from all the filters on the basis of total signal and applied to a common amplifier, then only the largest signal will be read. This Is not desirable. AGC must be developed on each board and applied to only those boards which would have given an ambiguous output, and preferably In an amount which Is proportional to the received signal In each board. Fig. 6C shows the complete comb with Individual signal AGC on each element. The methods of applying this AGC will be covered later. Wvunber of Elements The next step Is to determine the number of elements needed In the comb. This is a question of how many filters are needed in the 12 kc frequency band. Considering that there are a minimum number of data points available, and each lasts the minimum time, each point must be read. Complete coverage of the 12 kc band would require filters at 10 cps spacing. Since each filter element is fairly complex, a complete system would represent a considerable investment. It was decided to try a token number of filters to prove the system before expanding to the total 1200. This trial comb was selected to cover only 5600 cps at 20 cps spacing with l80 filters. Its in-put can be switched three times to cover the entire 12 kc band. Having determined the overall block diagram for the system the individual blocks can be developed in detail. 15
  • 17. Receiver Noise AGC cntcurF issiair A need for an AQC circuit which is activated by noise only has been discussed. Actually, it is Inpossible to make a circuit which is sensitive to noise only. The best approach appears to be one which gives the maxi» mum rejection to the interfering sine waves. This rejection can be on the basis of amplitude, tlrj, or frequency. Amplitude rejection is not feasible because the interference can be larger than the noise, thus we must depend on a time or frequency discrimination. Let us consider first time discrimination. Up to this point consideration has been given to the total change in noise level but not the rate of change of level. The change in noise level is basically due to effective sky tempera-ture change with antenna orientation. An antenna scan from horizon to horizon requires fifteen seconds. Thus, a time constant of one second for the AOC will permit the gain control voltage to follow the noise. However, the desired signals of 0.1 second duration will have little effect on the AQC because they are not present long enough. Meteor trail echos and signals received via scatter propagation from the transmitter which are present for long periods will not be rejected by an AGC system with a 1 second time constant. We now consider what frequency discrimination will do. Feedthrough (signals arriving via tropospheric propagation), is always present at a fixed frequency. If the noise is sampled in a narrow frequency band it is possible to exclude the feedthrough altogether. The probability of receiving trail echos Is also reduced considerably. Thus, it can be seen that time discrimination will eliminate short duration signal interference, and frequency discrimination will eliminate most of the feedthrough and meteor interference. Figure 7 shows a block diagram of the circuit. The noise plus signal go through the gain controlled amplifier to two outputs, the output to the filter bank and the output to the control circuit. The amplifier is followed by a filter at a center frequency of 6 kc with a bandwidth of l60 cps. The total noise bandwidth is 16 kc, so a reduction of noise in the filter of 10 to 1 occurs. However, a signal in 16
  • 18. this bandwidth Is not reduced, at all. Therefore, a S/N ratio of 1 at the Input to the l60 ops filter would result In a S/N ratio of 10 at the output of the filter, which would give too much weight to the signal. It Is necessary to follow the l6o cps filter with an anpllfler-llalter combination. The noise level Is adjusted to approximately one-half of full output and any signal Is then limited to twice the value of the noise. This procedure still gives more than adequate range for variation In noise level to operate the AGO amplifier. The limiter Is followed by a rectifier, to convert the signal to a d.c. voltage, and a d.c. amplifier to provide loop gain. There Is sufficient gain In the loop to handle a 20 to 1 variation of the Input with less than a 10 percent change In the output of the controlled amplifier. The integrator provides the time constant which is one second. The value of the time constant Is chosen to minimize the effect of signals with a duration shorter than one second. For example, a 0.1 second duration signal large enough to produce a d.c. output of twice the noise level would try to charge to twice the noise voltage level. However, it is present for only 0.1 second and would not Increase the voltage more than 10 percent. Without AGO, the decrease in sensitivity would have been at least ko percent, for a S/N of 1 and greater for larger S/N ratios. The only type of signal which could cause interference would be a long duration trail echo. By reducing the bandwidth we have reduced the probability of this occurring. All other signal effects from feedthrough, short duration desired signals, and high rate head echos are reduced considerably. 17
  • 19. Q MÜLTIPLIKR B—ic Feedback Clreuit The 10 ope narrow bend filter la im the form of a Q multiplier using standard L and C components. Since the frequency band to be covered Is 2 kc to lU kc, Q's range from 200 to lUoo to provide the 10 eps bandwidth at the various frequencies. With nominal coll Q*s In the order of 100, multiplication la from 2 to Ik. The problem was to design a small compact circuit capable of providing these Q*s with as much stability as possible. An analysis was made of Q multiplier circuits to determine the best design criteria. Basically, any LC oscillator circuit with the positive feedback below the oscillating point will. If used as an amplifier, produce an Increase In the Q. However, the question Is, how stable Is this new Q value, assuming nominal stability of the variables Involved. Before this can be resolved, the circuit action which produces the multiplication must be understood. Two types of feedback circuits were compared, one In which the feed-back factor, B, Is positive only and the other, where B Is a composite of positive and negative feedback. In both cases the positive B network uses an LC resonant circuit. Let us consider first the basic feedback circuit, as shown In Figure 8, In which B Is fixed. E, Is the Input voltage to the whole circuit, E Is the Input to the amplifier of gain K, and B Is the feedback factor. Equations 1, 2, and 3 can be written by Inspection. E1 - E1 + E^ (1) E^ - E2 (2) E2B = Efb (5) Substituting (2) and (5) into equation (1) gives E2/K = E1 + E2B CO 18
  • 20. Rearranging equation (h) gives the form E (1 -B) - E R ± VE1 " V(l-BK) - K» (5) Thl» Is the fort» of the standard feedback equation where K« Is the closed loop gain. Honnally In this type of circuit, B Is fixed with frequency and K« Is Investigated with respect to changes In K. However, In the Q multipler It Is B which Is variable. Figure 9 shows the basic Q multiplier In which B Is positive and the B network Is a resonant circuit. If we consider the B network with E2 as constant In amplitude but variable In frequency, then E^ will vary as the LC circuit goes through resonance. Since B Is defined as being the ratio of E^ to Eg, B will also vary with frequency. The variation of B with frequency Is shown In Figure 10. The 3 db bandwidth is determined by the loaded Q of the resonant circuit. Q Multiplier as a Function of the Output Voltage If the Q multiplier can be evaluated in terras of the output voltage then it can later be defined in terms of B and K. In Figure 9, If the feedback circuit Is disconnected at point x and a curve is drawn of output versus frequency, curve A in Figure 11 would be obtained. Then, upon re-connecting the circuit, draw a second curve of output versus frequency and curve B would be obtained. Since the feedback is positive, curve B would be larger in amplitude. It is noted that curve B has been adjusted in amplitude so that the intersection of the two curves is at E which is the 3 db point on curve A. Also, the 3 db bandwidth, Afg, of curve B is smaller than the 3 db bandwidth, Af^, of a curve A. If we denote the Q of curve B, Q2, and the Q of curve A, Q1, then the Q multiplier, M, is the ratio of the Q's as shown in equation (6). M = Qg/^ = A^/Af,, (6) Let us denote the peak value of curve A, E^, and the peak of curve B, IL . If the assumption can be made that R1 and R2 in Figure 9 are greater than the Z of the resonant circuit, then the voltages are directly proportional 19
  • 21. to the Q* a and: By substituting E-. ■ i-1* E Into equation (7): This defines the multiplier in terms of the change of output voltage from Eo *> ^2« Q Kultiplier in terms of B and K Curve A In Figure 11 and the Beta curve of Figure 10 are both drawn for the same circuit Q; therefore E represents the output E_ with 0.7B O e. and E-2 the output with full B. Equations 9 and 10 give the closed loop gain with 0.7B and B, respectively. K£ - K/(l- .7BK) (9) q - K/(l- BK) (10) Equations 11 and 12 give E-p and E in terms of the closed loop gains. E1 KJ - E0 (U) El "l - ^ ^ Substituting equations 11 and 12 into equation 8 gives: KJ/IA iq, - M (13) Let Ki/ ^ ' A ^-^ Then A/l.4 - M (15) "A" is then the variable part of the multiplier M and will determine the stability of the new Q. "A" can now be expressed in terms of B and K by substituting equations 9 and 10 Into equation 14. » ■ l4 / ir^c " 1 + TS- (16' Figure 12 shows a plot of A versus BK. As BK approaches 1, A approaches infinity and the circuit will oscillate. It will be noted that the useful 20
  • 22. values of A lie In the range of BK from O.95 to O.999. This means that the circuit Is always relatively close to the oscillating point. Even with a low value of A of 6, a 5 percent change in B or K would cause oscillations. B, which Is made up of passive elements, can easily be held to one percent or less. However, K which Is the open loop gain is not nearly as stable, and In transistor circuits would be especially difficult to maintain. A circuit configuration which Is relatively independent of K would be much more desirable, and this is the second circuit to be discussed. The second circuit contains two loops, one positive and one negative, and is shown In block form In Figure 13. In this configuration the negative feedback Is fixed and the positive feedback varies as before. The total feedback, B, is the algebraic sum of the negative and positive B's. The equations at resonance and at the 3 db point are as follows: at resonance the total B B. ■ B +B- (17) K^ - K/{1- BtK) (18) at the 3 db point B«. - 0.7B+ + B- (19) K^ - K/(l- B; K) (20) By rearranging equation 1? and 19 and substituting into equation 20, KX may be expressed in the following form: W, - K/(l- Bt + 0.5 B+) (21) A, which is the ratio of Kj/K^, may be expressed in terms of BK as: 0.3B K 0.3B.K A ' l- BtK + -LTl^K ' 1 ♦ TT-B^K (22) At this point a restriction must be made that B may never be positive. Then rearranging equation 22, by multiplying the second terra by B /B , 0.5B B K A - :i + Bt l-BtK («') It will be noted that as K approaches infinity, the terra B.k/(1- B.K) approaches unity as a limit. A then approaches the value 1 « 0.3B /B. . Figure Ik shows a plot of equation 23 as A versus KB. for various values of B /B. . One can see that A in this case is relatively independent of KB. as long as KB is 21. V
  • 23. kept above 25. A Is, however, very dependent on the ratio B /B . If the B network., which «re nade ^ of passive elements, are held to+close tolersnces the circuit will be very stable, it Is virtually Independent of K as long as K Is large. Description of Final Circuit Figure 15 shows the schematic of this second circuit, which Is the circuit a. used in the filter b«*. The negative loop Is made up of Rfl and R6. The positive loop Is »^ and R2 In series, plus the resonant circuit. The basic amplifier Is d.c. coupled and RQ and R6 provide negative d.c. as well as negative a.c. feedback. This helps to, stabllze the d.c. operating point considerably. The circuit Is very tolerant of any variations In transistors. The Zener diode was added Instead of a dropping resistor to provide additional gain. R^ «d C, form a necessary phase correction network to stop oscillation caused by the large amount of negative feedback. Frequency is adjusted with the choice of coil and capacitors, and the Q is adjusted by ' setting the positive feedback level with R . Measurement of Q is difficult at the higher frequencies when one attempts to measure ♦ 5 cps at 12,000 cps. A method was devised to use an oscilloscope and speed UP this measurement. If the response of a resonsnt circuit to a ' step function is calculated, the envelope has the form, Amplitude of Envelope - S - E e "at (24) where a - R/2L, R is the series resistance of the coil and L is the Inductance of the coil. Since Q - 2 « fL/R, at resonance, a - R/2L - Äf/Q . «Af, (25) where Af is the bandwidth between 3 db points. This equation Is the same as the standard equation expressing the charge of a capacitor. The time constant In this case would be equal to l/a. The time constant can then be expressed as: • T = time constant ■ l/nAf (26) If a signal at the center frequency of the resonant circuit Is applied whose amplitude Is in the for*, of a step function and a measurement is made of the time response, we have a measure of the bandwidth. The time constant is 32 milliseconds for all of the filters, irrespective of the frequency of the 22
  • 24. of the filter. This method has the advantage of permitting measurement of bandvidths less than 1 cps with ease and speed compared to the 3 db method. Tests Indicated that 1/2 cps bandvidths could be obtained before approaching the oscillating point. This (1/2 cps bandwidth) gives a multiplication of approximately 200 as the ultimate capability. Since the largest multiplication needed vas 14, all of the filters were operating well away from the oscillating point. 25
  • 25. SIGIIAL AOC Signal Contirol and AQC Pletrllmtlon The need has been previously determined for a post-filter signal AQC circuit. We have also seen that the filter used In this case will be a resonant circuit. This section will deal with the gain controlled amplifier, the generation of the control voltage and the distribution of this voltsge smong the filters of the filter bank. Assume an Ideal delayed AQC which starts to operate with a signal Just above the threshold level and has an output d.c. voltage which Is directly proportional to the input a.c. voltage. How consider the distri-bution of this d.c. voltage to the other filters. To do this visualize a group of filters with an input signal in the center filter. For ease of description, let us call the center filter A and the other filters as they progress away on either side of A, B, C, D, and so forth. This is shown in Figure 16k. There will be some signal voltage at all the filter inputs due to the signal at the Input of filter A. Since all the filters are resonant circuits, and of the same bandwidth, distribution of the voltage at each of the Inputs Is in the form of a resonance curve as shown in Figure l6B. The dashed line with an amplitude of X represents the threshold level. All the filters contained within the resonance curve above the threshold level would be actuating the recorder. Since the d.c. output voltage is directly proportional to a.c. Input voltage. Figure l6B also represents the AGC d.c. output of each filter. Filter A, which contains the signal at its frequency, has the largest d.c. output. This voltage can be distributed to the other filters with a resistive network, always to be larger than the AGC developed in the other filters. This is shown by the dotted lines in Figure 16B. The circuit can also be arranged to have the larger of the two AGC voltages control the gain in each filter. This will then cut off all of the filters except filter A. The resistive network is made in the form of a symmetrical ladder attenuator with equal sections. Since all of the filters are connected together with identical sections, the distribution of voltage is not peculiar to a 2k
  • 26. particular set of filters. The voltage will be distributed as shown on both sides of the strong signal, no matter which filter the signal frequency matches. This type of circuit has the advantage of keeping a minimum number of filters cut off. As an example, Figure 17 shows two main signals X and Y of different amplitudes and their AGC curves. The frequency covered Is a small portion of the total h kc band. Each signal cuts off a number of filters In proportion to Its amplitude. Yet, a signal such as A contained within the cut off region but larger than the distributed d.c. voltage will still be read. Any signal not In the cut off region can be read with maximum sensitivity. Thus, It Is possible for meteors, feedthrough, and many desired signals to be present simultaneously and still read each one by the operation of a single pen per signal. Circuit Analysis In the general description of the AGC action, several points were mentioned and assumed to be true without giving any proof. These were; the linearity of a.c. input to d.c. output, the cut off action of the distributed voltage, and the design of the ladder attenuator. These items will now be taken up in turn. Linearity of a.c. Input Versus d.c. Output Figure 18 shows a combined block and schematic form of the AGC circuit. The d.c. control voltage E^, is fed back across the series connected resistor R1 and diode D^^ This voltage determines the current and thus the resistance of D^^ ^ is a very low impedance to the operating frequency and acts only as a d.c. blocking device. D , in series with R2 to the input voltage ■ , determines the voltage E available to the fixed gain smpllfiers which follow. The forward drop across a diode is relatively independent of the current through it and for prsctical purposes can be considered a constant. If I represents the current through the diode, and R the resistance of the diode, then this constant voltage drop may be expressed as: I lU = constant = A (27) 25
  • 27. ! It can also be expressed In the form: V(R1+V • I (28) If R1 is much larger than R- then equation 28 reduces to: ^^l " A (29) Substituting equation 29 in equation 27 ve have: hchfil ' A (30) Since R1 is fixed in value equation 3 can be written in terms of a new constant as: Ej^ Up - AR1 - B » constant (31) If it is further assumed that there is sufficient loop gain to maintain the output of the a.c. amplifier constsnt, then: E ■ constant - E« G« «D (52) E2G2 * EIH R^TTg 02 If R2 is larger than R^ then: Eo " EIN ^- G2 - C (55) Since 02, R2, and Eo are all fixed in value, Eo R2/G2 * constant « EIN'^ ^ D (5^) Substituting the value of IL from equation 31 Into equation 34 gives: «a8^ ' D E IN ' D/BEDC = KEDC (55) Equation 55 shows E__ to be a linear function of E . DC IN 26
  • 28. C—u—to^ff—Ac—t^io_n _of_AQ_C ^ It is readily apparent that we can feed back a voltage which is larger than the AOC voltage on any given filter, but it would appear that this voltage would merely reduce the gain and not cut off the filter. The following discussion will show how the cutoff action takes place. Figure 19 gives a plot of two curves, curve A, the a.c. input versus the d.c. control voltage, and curve B, the a.c. input versus the threshold gain. By threshold gain is meant that gain which is required to give an output at the threshold level from the AQC controlled amplifier. Let S represent the signal in filter A, and P represent the signal in filter B. At signal level P, Q represents the AOC voltage developed and R is the gain required to bring P up to the threshold level. However, T represents the AOC voltage at filter A and U shows that portion which is fed back from filter A to filter B. If the voltage U controls filter B then it will produce gain V which is lower than gain R, and filter B will no longer have adequate gain with input P to reach the threshold level. This feedback voltage will work in a similar manner for all the other filters. Ladder Attenuator Figure 20 shows the network and filter connections. Let us consider only a part of the network as shown In Figure 20b. Let E. be the Input voltage and E2, Ej, and E^ be the voltages down the attenuator. Since each section has an impednace Z, then: E^ - Z/(R1 + Z) - Ej/Eg « Eu/E5 . X (56) There is a fixed loss ratio of X as one progresses down the network. Equation 36 can be rearranged to give R as a function of Z and X. R1 = Z (1- X)/X (37) Using only one section of the network as shown In Figure 20c, Z can also be written equal to the parallel combination of R2 and IL plus Z In series: (38) ("a; (Ki ♦ z) R2 + (1^ + Z) 27
  • 29. Substituting equation 37 In equation 58 gives: (59) ■ - R2 f/Rs * |) R2 - Z/(l-X) Thus, equation. JT and 59 give ^ «d ^ In terms of 2 and X, where Z Is determined by circuit Impedances and X Is a function of the distribution desired. Pigure 21 shows the resonance curve (a) as well as the distribution curves for several values of X. The final choice of X Is somewhat arbitrary, however, there are some circuit considerations. To be sure that the larger voltage always controls the AOC, a diode D2 was added as shovn In Figure 18. To obtain the best circuit operation, one must alwsys maintain a few tenths of a volt back bias across Dg. This requires that X must be chosen so that the curve Is high enough at Its extremities. X Is not a fixed value, since the resistor R2 la actually the parallel combination of R and the filter resistance, as shown In Figure 2QA. This Input resistance Is variable with signal level and will vary from 2QK with large signals to 1 Megohms with small signals. This condition is helpful since it produces larger values of X with small signals which will occur at the extremities of the curve. In this particular case, linearity of the signal in the AGC amplifier is not too important. However, it is important in the noise AGC amplifier The input voltage across the diode must be kept below 50 millivolts to keep distortion at a minimum. 28
  • 30. Threshold Circuit This section covers the threshold circuit and the relation of the s/w ratio to the threshold level. Up to this point the minimum usable signal was considered as one which produced a S/H ratio of unity past the 10 cps filter. Actually this Is the theoretical limit which we would like to achieve, hut never quite realize In practice. This Is best explained by reference to the block diagram and the various signal levels which occur as shown In Plgure 22. The signal and noise are rectified, filtered, and then go to a differential amplifier. The other Input to the differential amplifier Is a reference level which determines theltoreshold level. When the rectified Input exceeds the threshold level the recorder writes. The signals are presented plctorlally below the block diagram of Figure 22. At the input to the rectifier shown In (A) we have the signal whose frequency Is fc, and the noise which contains the frequency components between fc - 5 cps and fc + 5 cps. The next set (B), shows the full wave output of the rectifier. Up to this point the signal is in the frequency range between 2 kc and 6 kc. Set (C) shows the output of the low pass filter. It is seen that the signal d.c. component is clean because all of the ripple components are high compared to 10 cps and are removed. The noise, however, consists of all frequencies between f -5 cps and f + 5 cps and its rectified output contains all the difference frequencies between the noise components in this band, that is, 0 to 10 cps signals. The rectified noise output then contains a d.c. component and ripple in the 0 to 10 cps region. The next set, (D), shows two conditions, one, when both signal and noise are present and Just equal to the threshold level, and the other when the same amount of noise is present but without signal. In the first case the noise ripple causes the voltage level to go below the threshold which causes a miss in the output when the signal is present. The second case shows the noise ripple exceeding the threshold and giving a false data pulse when the signal is not present. The total number of false alarms which can be tolerated depends on the read out system. The general approach to eliminate these errors is to lower the noise and increase the signal, as shown in 29
  • 31. Figure 22 Z, to olnlalse the occurrence of misses and false alaras. This, of course, calls for a better S/H ratio and lowers the overall sensitivity of the system. The actual loss can only be determined by experience with field data on a particular system. Since the final system has not been constructed, a firm figure Is not available. However, general tests Indicate that a loss of 6 db to 9 db could be expected. 50
  • 32. TESTS AND EVALUATION General A brief description of the tests performed on the comb filter Is given In this section. Initial tests for stability of the frequency and Q of the filter disclosed a need for temperature control. The relay rack used to house the filters and power supplies was equipped with blowers, heaters and a thermostat to provide temperature control. A temperature range of from 92 to 98 degrees P was maintained with this system. This was adequate to maintain the frequency of the filters within + 2 cps and the Q within 10 percent of design values. However, the threshold level and threshold gain had a 3 to 6 db variation in sensitivity between individual filters. As the following figures, 53 through 3^, show not all of the filters begin to write at the same signal level. This sensitivity effect is most noticeable when viewing the noise background, which shows light and dark lines instead of uniform gray lines. This effect can be eliminated by a modification of the d.c. amplifiers in the filters and recorder, but was not done on the prototype because of the time required to make the change. Since the main use of the comb was for tracking satellites, tests were made for specific satellite tracking problems, as well as general problems. The following figures show simulated satellite signals as well as actual satellite signals obtained from field station magnetic tape records. In Figures 23 through ^ the paper was moving vertically at 0.1 inch per second, so the vertical axis represents time. The pens are spaced horizontally across the paper and each pen is connected to a filter, the filters being spaced 20 cps apart. Each presentation is then a frequency versus time graph. A total of 120 filters were used in the tests, giving a total range from 2 kc to 4.1+ kc. Simulated Signals As mentioned in the previous section, the relation of the noise level to the threshold level is determined by the type of recording system to be used with the filter. The first test was to determine the optimum noise 31
  • 33. level for maximum signal-to-nolse ratio, as Is shown In Figure 23* Signal was mixed with noise and applied to the Input of the filter. The noise level was maintained fixed while the frequency of the Input sine wave was varied from 2 kc to k.k kc. During the sweep, the amplitude of the sine wave was varied in amplitude in three steps, which divide the sweep into three equal parts. The sine wave amplitude steps used were - 27 db, -30 db, and -33 db with respect to the noise in all cases. The noise levels were from 100 millivolts to 250 millivolts as shown in the figure. By inspection of Figure 23 it is easy to see that the 150 millivolt noise level is optimum. These tests were made using a 20 kc bandwidth noise source and the 10 cps filters. With this combination, and input signal-to-noise of -33 db would provide a post filter signal-to-nolse ratio of one. It is seen that at the 150 millivolt noise level some points are still readable at the -33 db sine wave level. With noise levels above 150 millivolts the system becomes saturated with the noise, and at lower levels the system becomes less sensitive. However, in the scanning beam antenna tracking system, which provides fewer data points, it would not be possible to read the data at the optimum sensitivity noise level. There would be hundreds of noise points for each data point. In the Interest of trying to anticipate the loss of sensitivity associated with fewer data points. Figure 2k shows higher post filter signal-to-noise ratios. Figure 2k is similar to Figure 23 except that the noise levels vary from 100 mv to 70 mv and the signal levels vary from -21 db to -30 db. In the scanning beam system, data points would have been obtained every 15 seconds or 1.5 Inches apart on the graph paper. If one used the criterion that there should be approximately the same number of data points as there are noise points then the 70 mv noise level with a -21 db sine wave level would be about the right choice. This is 9 db less sensitive than the optimum case which was anticipated. One very important feature is the response of the filter to a signal with a high rate of change of frequency. Tests were run on the comb filter to indicate the minimum usable signal for a given rate of change of frequency in cps/s. The results are shown in Figure 25. It is interesting 32
  • 34. to note that a loss of sensitivity did not occur until a rate exceeding Af was resched, and that rates in excess of 100,000 cps/s could be seen with a signal-to-noise ratio of one at the input to the filter. The next test, shown in Figure 26, was with various signal levels to test the action of the signal AOC. Signals from -30 db to + 6 db with respect to the noise were used. The AOC performed well up to 0 db. At + 6 db the system began to overload as indicated by the dark traces in the background noise. Figures 27 and 28 show the action of the AOC with two signals present. Figure 27 shows a strong fixed frequency signal at -6 db level. By noting the background noise it can be seen that this signal is strong enough to cut off the noise from 18 filters and the chart appears clear on both sides of the strong signal. The second signal is a sweeping frequency with amplitude levels from -12 db to -30 db. It can be seen that the stronger signal at -12 db overrides the cutoff action of the -6 db fixed signal, but the weaker does not. Figure 28 shows two signals crossing simulating the data from two satellites tracked simultaneously. Since they are at the same amplitude all of the points are readable on both curves. Satellite Signals During the time that the satellite fence was in operation, many active and passive satellite signals were recorded on magnetic tape. These magnetic tapes were used to produce the chart records shown in Figures 29 through jk. As a means of comparison with the methods used at the APRA stations, chart records are shown of the same satellite passes that were tracked with the ALO-tracking filter combination. Section "A" of each figure is the record made with the comb filter, and section "B" is the ALO-tracking filter record. Figures 29 through 53 show satellite i960 Delta revolutions 12i*, iko, 156, 165, and 172. Figure 3^ shows an active track of Jupiter C during the launch phase. The arrows on the figures indicate the frequency limits of the tracking filter records. In general, the comb filter tracked the signal for a longer period. This was expected since the best sensitivity of the ALO 33
  • 35. was -21 db, and could not pick up the signal as soon. However, after a lack was obtained the tracking filter was Independent of the ALO and Its sensitivity was Identical to the comb filter. The signals on the tapes had a frequency range from 2 kc to 12 kc. It was necessary to mix the tape signals with a signal from an oscillator to provide the comb filter with frequencies In the 2 kc to U kc range. Tests with simulated signals on the mixer Indicated a 6 db loss In the S/N ratio as a result of the mixing. Therefore, In comparing the two types of records, the signal level for the comb filter should always be taken as 6 db less then that for the ALO record. 8u—ary The test records of simulated and actual satellite signals show that the comb filter prototype has met all of the design requirements. If this unit had been expended to the full compliment of 1200 filters it would have provided an effective tracking capability for the scanning antenna system. This model has proven the advantages and disadvantages of this type of system. It provides an excellent answer to tracking short duration, high rate of change of frequency signals. RICHARD L. VTEEK 54
  • 36. BRL-DOPLOC REPORTS Ho. 1 Ho. 2 Ho. 3 Ho. 4 Ho. 5 Ho. 6 Ho. 7 Ho. 8 Ho. 9 Ho. 10 No. 11 No. 12 No. 15 HRL Mono Report Ho. 1055 - October 1958, Doppler Signals and Antenna Orientation for a Doppler System, by L. P. Bolglano, Jr. CONFUEHi'IAL BRL Nemo Report Ho. llßj - January 1959, First Semi-Annual Technical Summary Report, Period 1 JMly 1958 - 31 December 195Ö, by L. 0. deBey, V. W. Richard, A. H. Hodge, R. B. Patton, C. L. Adams. COHPHKHTIAL BRL Tech Hote Ho. 1265 - June 1959, Orbital Data Handling and Presentation, by R. E. A. Putnam. UHCIASSIPIED BRL Tech Hote Ho. 1266 - JHily 1959, An Approach to the Doppler Satellite Detection Problem, by L. 0. deBey. COHPnEHTIAL BRL Memo Report Ho. 1220 - JUly 1959, Second Seml-Annual Technical Summary Report, Period 1 January - 30 June 1959, by L. 0. deBey, V. W. Richard and R. B. Patton. COHFITgNTXAL BRL Tech Hote Ho. 1278 - September 1959, Synchronization of Tracking Antennas, by R. E. A. Putnsm. UNCLASSIFIED BRL Memo Report Ho. 1237 - September 1959, A Method of Solution for the Determination of Satellite Orbital Parameters from DOPLOC Measurements, by R. B. Patton, Jr. UHCIASSIPIED BRL Memo Report Ho. 1093 - March i960. The Dynamic Characteristics of Phase-Lock Receivers, by Dr. Keats Pullen. UNCLASSIFIED Station Geometry Studies for the DOPLOC System, Stanford Research Institute. UNCLASSIFIED Final Report, Part B, Stanford Research Institute - July i960, DOPLOC System Studies, by W. E. Scharfttan, H. Rothman, H. Outhart, T. Morita. UNCLASSIFIED Philco Corporation - k May i960, Polystatlon Doppler System. UHCIASSIPIED Space Science Laboratory, General Electric Co. - October i960. Orbit Determination of a Non-Transmitting Satellite Using Doppler Tracking Data, by Dr. Paul B. Richards. UNCLASSIFIED Final Technical Report - University of Delaware - June 15, i960, Quantum Mechanical Analysis of Radio Frequency Radiation, by L. P. Bolgiano, Jr. and W. M. Gottschalk. UNCLASSIFIED
  • 37. Ho. lU Plnal Report F/157, Columbia Italverslty - Pebruary 11, i960, SunMtry of the Preliminary Study of the Applicability of the Ordir System Techniques to the Tracking of Passive Satellites. UrciASSIPIBD Ho. 1? BRL Report Ho. 1110 - June I960, Precision Frequency Measurement of Holsy Doppler Signal, by V. A. Dean. UNCIASSIFIED Ho. 16 Third Technical Summary Report - Period July 1999 thru June 30, i960, BRL Nemo Report Ho. 1287, by A. L. deBey. UHCLASSIPIKD Ho. 17 Columbia University Tech Report Ho. T-l/157 - August 1, 1959, The Theory of Phase Synchronisation of Oscillators with Application to the DQPLOC Tracking Filter, by E. Krelndler. UHCIASSIFIED Ho. 18 BRL Tech Hote Ho. 13U5 - August i960, DQPLOC Receiver for Use with Circulating Memory Filter, by K. Patterson. UHCIASSIFIED Ho. 19 BRL Tech Hote Ho. 13U5 - October i960. Parametric Pre-Amplifier Results, by K. Patterson. UHCIASSIFIED Ho. 20 BRL Tech Hote Ho. 136? - December i960, Data Generation and Handling for Scanning DQPLOC System, by Ralph E. A. Putnam. UHCIASSIFIED Ho. 21 BRL Report Ho. 1123 - February 1961, The DQPLOC Instrumentation for Satellite Tracking, by C. L. Adams. UHCIASSIFIED Ho. 22 BRL Memo Report Ho. 1330 - March 1961, DOPLOC Observations of Reflection Cross Sections of Satellites, by H. T. Lootens. UHCIASSIFIED Ho. 23 BRL Memo Report Ho. 1362 - August 1961, Satellite Induced lonlzatlon Observed with the DOPLOC System, by H. T. Lootens. UHCIASSIFIED Ho. 2k BRL Memo Report Ho. 13^9 - August I96I, A Comb Filter for Use In Tracking Satellites, by Richard Vltek. UHCIASSIFIED Ho. 23 Final Summary Report on the BRL-DOPLOC Project - July I96I, by A. H. Hodge and R. B. Patton, Jr. UHCIASSIFIED •
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  • 43. 8o 8 8I THRESHOLD CIRCUIT 1- 1 3 111 bl hi bf h? hi |I ( t u p ■ s is t» o twt m— x u 5- u S o E w o S5 ^w bl > bi O w 1 ! I TNRCSHOLO CIRCUIT THRESHOLD CIRCUIT * u u N Ii IOC.F.S. FILTER IOC.F.S. FILTER m1■ 1■ ! <9 Uo oc hi u. €0 2Oo < hi <0 2 1.2
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  • 55. I M <9 lii i O Q< NoiivnNaxiv lAuviau 54
  • 56. w>u V) _l I o I I a i 55
  • 57. orrwuM NOiti LEVEL mMtmm WIHITIVITV VMIIAILI NOItl M •IfNAL LfVEL .-••••• ,•. NMK LfVIL : MO MV MM ' 'MU I-tmtMP RATC : M CYCLKS/MC* nrccp LEVELS : AS SNOVN I • I ■<,• -SMk . .j^ i NOISE LEVEL.'ISO MV RMS SWEEP RME : SO evCLES/SEC.' M " v l ''.'V* ■*' •• ' ' ■ '•: '• • ■ i i*. ■ . 'a.ijv! i HÜ ■,-} NOISE LEVEL : SOO MV RMS Jf| 3 g »WEEP RATE : SO CYCLES/SEC* || jj 0:J SWEEP LEVELS ! AS SHOWN i |f re|ls tm-- uwlm st'W 'I i"* I W ' • i ^- NOISE LEVEL: 290 MV RMS y I ] SWEEP RATE ! SO CYCLES/SEC.« mmmm MjWR ||fe|j.;ii SWEEP LEVELS ! AS SHOWN > :" :■ l'i.'tfl iff ! ri- 1 i! ii mlHI im I r si .1 FREQUENCY SCALE FIS. IS OPS. 56
  • 58. 1 tlWtmVITY CMAWT VÄWAiLE NOISE AND SI8NAL LEVEL DETERMINE OPTIMUM SENtlTIVITV TO NOISE LEVEL : ICO MV RMS •WEiP RATE : 100 CYCLEt/SBC* SMNAL LEVEL ! At SHOWN -»«• •17« O : NOISE LEVEL : SO MV RMS SWEET RATE : NX) CVCLES/SEC* SNHAL LEVEL : AS SHOWN ! [ NOISE LEVEL : SO MV RMS SWEEP RATE : 100 CVCLES/SEC* SISNAL LEVEL : AS SHOWN I' NOISE LEVEL : 70 MV RMS SWEEP RATE I 100 CVCLES/SEC* SISNAL LEVEL ! AS SHOWN -tin »40 I 2 i 2 iI 2 i 5 ! •CfM i IS5 FREOUENCV SCALE - C.P.S. Fl«. 24 57
  • 59. CM O qp - aomndwv wnwmiw 58
  • 60. DYNAMIC HANSE CHANT NANCE OP MAXIMUM TO MINIMUM LEVELS CIVINC SINCLE PEN OPENATION NOISE LEVEL : ISO MV RMS |., . , SWEEP RATE : SO CYCLES/SEC* *]J j j, i F. i •. 1•IT•'••. s• •. SISNAL LEVELS '. AS SHOWN HI' ■ ,.• ;•.,; . 5ss»r.1 f rfs i-M i'''': ^i.::r!-::;: :: r>; ••!' i.! :;»: • • '■•;. . j., -ISO 5 ill li : : : •.<{., *<■. nsj ■ !lj: •;:> . |.! :i..- •••j'. . ...5, I. • ••■.•!• i :i •' f ti : : I:I ■rk . i. :- ;• p. i' .i." • .1 ' :-. •»<: ■•i . i :i-lin : il! " I, i!. fc = ui r1 -•* ■ Ph :: ' • : .i ' •! .. •: • ; ■ • ' t; . ! • 'if ■ • ' • ••!';!..; I •! • ' •■! • •. 143,!.: .ii r. • ■ •. • • 11 ■ t '■ i • • ^ . ■ 11 IL ••• v i *h+]|:::;:i!' ! if 11 I I i:::: i! ! li 11 in 9 'I H nN IH o 11^ MJ , I, ' (j ii! 1.. • C. I i IK 5 FREQUENCY SCALE - C.P.S. FI6. 26 59
  • 61. AOC ACTION CHART LARGE AMPLITUDE FIXED FREQUENCY SIGNAL V8 SWEEP SIGNAL LEVEL NOISE LEVEL : 150 MV RMR FIXED SIGNAL I -6db 1 SWEEP RATE I 77.8 CYCLES/SEC.1 ».. SIGNAL LEVELS : AS SHOWN 6in to oz o r -I2*b >:: i :• :!l|'Vi!i *•. .* ' !■ • • •• ; T». • • > •:•■•. •».. Ül* j' i 1 S l • 1 i! i I '♦tt. • • ; *• • ' ' I- ■": • •i •'»• :«:.f i .1 • : I 'I • .• I I • •ia: i l .• i • •• ... j. .5 •1. i| • >: • i li : i .1 1: ^ P 1.1 •. t .l:: • ft. • * :. i * :l • :!• • •• 1 *•! • t ll: • I. I i. - Ii • i. I I-, ;' ■»: • •» : I'. •• ■: r 1. •T .•' I •••"' I"- ' • ' 1. r8oM •• •• *••». • i .i I •• :. I if • ;• »* I • .. i ir I* • I. . • •• .i »■ r • :• i z. ■!. ■ • . i•i•ri-l:.:,.!!:! .-s.o.db ;. I • f" .;• .»• •• i:. i;. ••. « 'i' * ih • •: i ! !': ■n !. j ^^■•>, i.... eg T8p •" • • •• •;! . * • ■;! 1:1M .u «•:F '.i '■ ■•'".'i*-: ■ li i i!i * • ■ •i ::riii «i1 : : .i, ■ ••• 1 ■ •i«.. : id r o s FREQUENCY SCALE - C.P.S. FIG. 27 6o
  • 62. jii:!:.,....,., • '• 11 N r.i! TWO CROSSING SIGNALS WITH VARIABLE SWEEP RATES 19 ii fclffl it 1 snE |Mi SWEEP LEVELS :-l2db j Pfl H i.|M- »WEEP RATES : AS SHOWN g{y| if •di'f« !•.».... .. ^ TS.r'V !■;.!?.•: ■ f-! :.. j 'Ü J fc •i£^StJ CYCLE8/8EC« •• ! ij-:" [ is-j ^ ! | a Sh^JNs. : U M'll • .:' « '^ I:! I*; i:::»! « fc 5 Rl?@Sl.^a ^«00 CCYYCCLLEES../SCC* 2 &!> "J 1 fö rl|::»!; 11 :Ij. • Is;:11 r;-!: 5:: l J r 7 IJ ^ g iwci im fe*U!i! .;!'iJir-.!!.:! m H il rr 'ii i't • E^itJ 'l ".: •' 'I.« • H l;'- !:! ' •• Wkm it".': tJt!;4.IXS:;i STv« :- u'lig •r V >^SM CYCLES/SEC* «♦; ; KHI , : . 1 U I j' iJ k M;i«l:"':"%:-:--; ,:!|:.!.:;J ii i«: -^M2 CYCLES/SEC« if- •';• .i :'••» ''' ••* .' :.'; ^••«•- •■.: ■;:';■•• ^ 18 2 FREQUENCY SCALE - C.P.S. FI6. 28 61
  • 63. i 60 DELTA REV. 124 NORTH - CENTER - SOUTH AMTENMA8 MORTH - SOUTH PASS Vu !". t • : • ! J. .Ml;. •• ! ■]■■'> .ii!r: ■il-.i.ÜS'i-.r «sRtl«^iii^t•l«1:ff.''■!i<i3?!t:Hi,•| 1 If i» IS llllilll i *" i • ' • ' jB ' , .., .. ;„• , .. i ,1 . i | I ill !• H* m % ii'jHijiif^i l; IHIlM- ■%'.'. i ini iij i illlHiMiMiii! m mm a s 5 5 u OOPPLER FREQUENCY - C.PS. FIG. 29A 62
  • 64. ? t it UMireMU MTIMOO I I I II KWinO MIAinBM iv »/«1:1 Mrua M • e iJ „"••'8 1 a" 3' I > ? sS 58 65
  • 65. •0 OCLTA REV. 140 NORTN - CENTER - SOUTH ANTENNAS NORTH - SOUTH PASS ■;l53i i:i '• • .• • i*' I • • • * ■ rm ■ M ' .• .?:; i t -31'•!..•.* iilifl v.* f •i: 'III: lli I! I ■ H J 11 I H ! r«! Bl IIIÜ i! ill Ifl! ■»V r..> f <• t • I» '^Tf Hi-v.": • :v ? j !•■• I : • -t M t •■t«H« • •• • • ■.••■■ • W • ■• • • • .Mum ! * ^H •i i jKT :• '■Si ; ' ^U' • !!■ 1I1I ir ■ 1 • • t M:«! 11 ItiÜi il »ig ill 1:1 www ifiii; iti»ll:illl;! W' iHP^iiüi 41 o DOPPLER FREQUENCY - C.P.S. FIG. 30A 6k
  • 66. AMlOOMi NIIMOO tnMxnx Ö—T: tltti I I J Mils ' ^ < Z a: 58 o e It 65
  • 67. 60 DELTA REV. 156 NORTH - CENTER - SOUTH ANTENNAS NORTH - SOUTH PASS HI. i Mj •••! M» iI' i: IT' " mm ' ::;:M:T:.■::■;:i| 3 i. d :;;*:=,;• 'iP i.■•.:;• ..••....II« ;|i ^ :•: ..! * is. :! ••...I'St. i o HI 11 .1 s iii '•I Iit 111 I i !•• • •' ii /i- . I • Mi .i • r i ■ I' ••• II:." I i :-|: •■ •. • • T •.,.••;. . ' • i. . '• . • ' . •••.• * ■ . ! •■ • • •!•■:. • ! " ' . I '^i. , .' ••i.;i.:: ;fv'il!:.:i.JM| ' i;;,i'.!.:!i J.^: yr:' Iii •y«: ;' I .iff«1 li:!«:»; •III! Ii '•I i1I' I! I! ii ' iS.s •i l! I M I ri •I'. :.•!: I- j l. tplf. :> ml • i Mil::;.!! r-IiVl Ii :,;»ii i »• r • ■• o KQ !: }-W x ill I! ^ri | i !;Eli 11 I;!! Ü! 'l ' I I .iiiiM; i Mm u 10 DOPPLER FREQUENCY - C.P.S. FIG. 3IA 66
  • 68. NiMitut -nrtMit tmueniM M « • • O MM 3 I § .«el Q >r M U C K H • K K H M W S « U W H J W O =i 5 is1?! a Wma -uo I -I < K CC 58 67
  • 69. •0 OCLTA REV. IM • CENTER - SOUTH ANTENNAS SOUTH • NORTH PASS .«••■ ■!• -I I: I II ;M|' 11 N " :i : !M::. i] («. • i: ■:";• Ir 'iv • i- :»■■ . * •■..»I •1,1 I i I r u iim 111' •il hi •a • s i I;: L • w .»• !:,.■• s ;,:!' i i lf S i •••I , 1.1 . ;: • • • . 1;. 3iiMti1i :i; :•• rill'I id!. |j I ■t-i'ljl • • • T ::! i • .•..•n I] '.v li ttl '; ''•■!■ i' .• T I, • • ' ; !>• • ■ ■: ! !'! |i • inV I ' ■ ■> *ilf!.! < I ■ I: r I ■ i'. ':-i ••IT' " il •11"' ' ! !•'.(,'. I ?i: ;,.ft! ■••■ ;;.•!;••••.!' •i.l'M! ''• I'll, pi 5: rli i Hu ' l* ''A' •i •! i! I • u " ' SBT) :•! -it HI"11 mil' ?iii' ::ni;:l!i I.: ''i ill-; ': m.. i i I'.rlM^'li :i .H'i :;;ii nil .'.■■ li : • •■; • ;,: f i • ^ i .i Mi 'I.-' -#: if. * ' :■•. li n ., i .ii !:<t;"j» • i: 2 i 2 ■..Li:' •i'li '•;;>, . h n:: o I •! »Hi.-1 . . ? fl 'il I!: if;. I • ■ t'i i ..i f. i % iii ' ill •i :i!t i ;; • ; I I1 H lO II !l! ■r- H p ijl li 'i ■ I Il M i !.. t. • " !i :lL' i'i f.l i'i I h 1!" il DOPPLER FREQUENCY - C.P.S FIO. 92A 68
  • 70. MNMOMM MTIMOO a j litil ?s If Is 69
  • 71. 60 DELTA REV. 172 NORTH - CENTER - SOUTH ANTENNAS NORTH - SOUTH PASS .. •. •• . HI ,1 . % IM«; . •: !;•• I :;-d: '•lit: ; Illl i Ul3u to •! •,•• •! ■••r-< . •* • • . i ii •. i • ■■ 51.. ."i ■» I ' ■ ! ! Kii'i i *. *• !: * ' !• Mi:- M- ••• I I..!... .1 ii- •! f il lir.:*;l4l9 ' ••|ii|«i!-i M. 11« I ••I" 'I ' 'I.-'.'!' • i*- 'f i; illl • . . I • t.l . lim •.• I'.-.J''. • I m. am 'i! ul« ■...'If •!• I ; i ! vli' . * • ! I I'. I I.I •ii i ii|| • ; j . '•! • [Km 1 . I •• .»I i» u o esi . ••: l . I ii ::' . ... 'Hi ••ii S O IO IO • '' I 11 .:l| o illlitip Ml il«- & 'i ■ • IT • till Hi I i« i .i ♦. 'ij ! U j! i1 llj I !• •!• j: ;i It! DOPPLER FREQUENCY - C.P.S. FIG. 33A 70
  • 72. H10N3UXS 1VN9I8 «80 M K M « • • o II III xndino M3Ai39aN IV N/S Kl »0138 80 J • S S — N — I? pi rrrr ■ 1 • o I ■ri| i; UH i to. z 4 • w in t" mm o at fc.- o •? as 5 N o •• t S o hUi = OC K « W iilii o. in UJ a to. N o S|3 • A- - S 1 U ' ui w h 5 J o a * « c o 71
  • 73. ou (0 o I bJ -I <o in IÜ Wi4HH iiii'iii-T I'M!-' il'i ii l! 1 • i LAUNCH RECORD JUPITER C JAN. 31, 1958 y iitii i: HIST«! i:tfj lü: it :M;ii ft tttt ♦ ! M: ;:- ! ::: t:'':! f■«f; Mr !•«•: r j ?H i» tiV I I« ' :. i r : ::•: i. :t;: : • '■•' • i .1:- till S^Hr^i ;::•! i;, 'U 'Kgil-'-;»-:;1*':. * '■'■. (■'■ / •:.. : 'ilji"'. ..: . ; ••! . :|i •:: :• • •• ii ■ *•• • • • .1 li 1 • • • • u O :H,: l:!;; • i' •••l •i If • •• :■ .. i; ••• • •I i * r- •1 •1 :| ;l . 1, • • i i" Ü I. O IO m ro v nrnn nifs m 1 I .• • 11 . .. i • • ■ • ( i !! f»l i.. • •• ! ; i*. DOPPLER FREQUENCY - C.P.S. FIG. 34A 72
  • 74. -v.. ^ f* OOPPLCR RCCONO OF THE LAUNCH OF CXPLOftCR I (SS ALPMA) TRACKED AT ABCROCCN nraviNG GROUND. MO. -• 0 ?l? "1 r TIME ft SECONDS STAGE FIRING STAGE FIRING STAGE FIRING 3 B . 8*1M OS I>- i.o 8 2 i t - K 51 JAN. 58 05S5«OZ MHMMIIIMIMIMIIIIMMMMMIIMM*IMIMIMW<#<M»MIIMMMMHIIMMIIIMMMWMMMM > .1 Si I « ■ ki -I Kaoo =1 r 51 JAN 98 •10 SECONDS 0959«OI |M>tliiiir-"'iiiiiiiniwiiinMHfMniir —•■■ t""*1 SiiiwiiiiiiiitfiMWWIM o OOPPLER FREQUENCY RECORD OF THE LAUNCH OF EXPLORER Z (58 ALPHA) TRACKED AT ABERDEEN PROVING GROUND. MO. 73
  • 75. DISTRIBUTION LIST No. of Copies Organization 1 Chief of Ordnance ATTN: QRDTB - Bal See Department of the Army Washington 25, D. C. 1 Commanding Officer Diamond Ordnance Fuze Laboratories AITN: Technical Information Office, Branch Okl Washington 25, D. C. 10 Commander Armed Services Technical Information Agency ATTN: TIPCR Arlington Hall Station Arlington 12, Virginia 10 Commander Air Force Systems Command ATTN: SCTS Andrews Air Force Base Washington 25, D. C. 1 Commander Electronic Systems Division L. G. Hanscom Field Bedford, Massachusetts 1 Commander Air Proving Ground Center APPN: PGAPI Eglln Air Force Base, Florida No. of Copies Organization Commanding Officer U. S. Communications Agency The Pentagon Washington 25, D. C. Commanding General White Sands Annex - BRL White Sands Missile Range New Mexico 2 Commanding General Army Ballistic Missile Agency AOTN: Dr. C. A. Lundqulst Dr. P. A. Speer Redstone Arsenal, Alabama 1 Director Advanced Research Projects Agency Department of Defense Washington 25, D. C. 1 Director National Aeronautics and Space Administration 1520 H Street, N. W. Washington 25, D. C. 75
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