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Amplifier Function and Signal Filtering used
in Sleep Disorders Technology

  An Overview
Amplifiers and Signal Filtering
You Need to know:
   What differential amplifier is
   What CMR is and how it works
   How TC filters work and TC relationship to LFF
   How LFF and HFFs work to reduce unwanted
    frequencies
   How a 60Hz notch filter works
   Know basic polarity problems
   The difference between an AC and DC amplifier
   The difference between gain and sensitivity

                                                                     2
                  Midwest Sleep and Neurodiagnostic Institute, Inc
Terms for Basic Electricity
  Impedance: The total opposition to current flow
  including resistance, inductance and capacitance.
  Measured in ohms.
  Resistance:The opposition to the flow of current.
  Measured in ohms.
  Volt: Measurement of the force pushing current
  (electrons) through a conductor.
  Polarity: Refers to the positive or negative poles of a
  device



                                                                    3
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Alternating Current (AC)
  Alternatively flows
  between positive
  and negative
  (protons+ and
  electrons-)
  Alternates at 1/60
  sec in USA
     1/50 sec in Europe


                                                                   4
                Midwest Sleep and Neurodiagnostic Institute, Inc
Ohms Law
 Voltage is equal to current flowing in
 the circuit, multiplied by the resistance.

          Voltage = E (volts)
          Current = I (amps)
         Resistance = R (ohms)


                                                               5
            Midwest Sleep and Neurodiagnostic Institute, Inc
V=   I x R


                         E
                      Voltage


        Current                   Resistance



    I
             I                           R                          R
R   E                                                           I   E

                                                                    6
        Midwest Sleep and Neurodiagnostic Institute, Inc
The Polygraphic Circuit
  The function of the
  polygraph is to
  transform voltages
  generated by body
  into an interpretable
  record




                                                                 7
              Midwest Sleep and Neurodiagnostic Institute, Inc
G2                               G1




                                         - -              - -                     + +   +
Chart
Drive
                                          -                -                  +    ++

        Paper / computer




                                                                                        8
                           Midwest Sleep and Neurodiagnostic Institute, Inc
Signal Processing
  Electro conductive material
  Electrode
    These act as a small capacitor

  Wire to head box
  Exploring electrode
    C3, C4

    O1, O2

  Reference electrode
    A1, A2



                                                                   9
                Midwest Sleep and Neurodiagnostic Institute, Inc
10
Midwest Sleep and Neurodiagnostic Institute, Inc
Ground
Leakage current results when there is
either a break or a shunt in the circuit.
Patient grounding is essential in artifact
elimination and proper amplifier function.

           Symbol for Ground




                                                                11
             Midwest Sleep and Neurodiagnostic Institute, Inc
Differential Amplifier

  Form of AC amplifier
  Amplifies the
  difference between
  input (grid) 1 and
  input (grid) 2
  Rejects any similar
  information between
  G1 and G2 (CMR)

                                                                12
             Midwest Sleep and Neurodiagnostic Institute, Inc
Common Mode Rejection
Common function of differential amplifier
Rejection of similar activity between input
1 and input 2
    Identical information rejected at near 100%




                                                                    13
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Polarity and Localization
  Input 1
     When input one is negative, the pen goes
      up, when input one is positive, the pen
      goes down.
  Input 2
     When input two is positive, the pen goes
      up, when input two is negative, the pen
      goes down.

                                                                  14
               Midwest Sleep and Neurodiagnostic Institute, Inc
Basic Polarity and Localization
               Up rules                    Down rules


Input 1 (G1)   Negative                         Positive            Input 1 rules




Input 2 (G2)   Positive                       Negative              Input 2 rules



                                                                            15
                 Midwest Sleep and Neurodiagnostic Institute, Inc
AC coupled Amplifier

Common Mode Rejection Ratio

    Common Input Signal                   Should be high ie. 100,000 to 1
      Output Signal



                                                                            16
                Midwest Sleep and Neurodiagnostic Institute, Inc
Polarity Calculation

   26 uv
                                                          + 41 uv
   -15 uv


  26
 - 15
 + 41 uv


                                                                    17
            Midwest Sleep and Neurodiagnostic Institute, Inc
Galvanometer




 Limited to a maximum response of 90 - 120hz
                                                                  18
               Midwest Sleep and Neurodiagnostic Institute, Inc
Amplifier/Machine
 Calibration




All filters set the same



                                                                   19
                Midwest Sleep and Neurodiagnostic Institute, Inc
Montage Calibration




                                                                         20
                      Midwest Sleep and Neurodiagnostic Institute, Inc
Time Axis
   The point (time) at which
    each pen falls along the
    same recording line
   The galvonometer or pen
    mount may be adjusted to
    correct problems
   Not a problem with digital
    systems


                                                                    21
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Damping
 Adjustment to
 reduce overshoot                                                   good
 Reduces erroneous
 fast-wave artifact
 Only adjusted on                                                    Under
 polygraphs                                                          damping
     Not digital systems
                                                                     Over
                                                                     damping

                                                                           22
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Mechanical Baseline
Pen spacing without
 amplifier input to
       pens.




                                                               23
            Midwest Sleep and Neurodiagnostic Institute, Inc
Electrical Baseline
   The “electrical zero” of a
    recording pen position
                                                 Mechanical Baseline needs
   Found by turning the                         adjustment
    individual chart amplifier
    power off and on while
    adjusting the baseline
    knob.
   EZ if found when the
    pen stops changing                       Electrical Zero
    positions between
    power-on, and power-off
                                                                             24
                      Midwest Sleep and Neurodiagnostic Institute, Inc
1. Unequal sensitivity

                                                              2. Pen alignment—
                                                              time axis

    3. Pen baseline off



                                                              4. LFF different
                                                              setting



                                                                                 25
           Midwest Sleep and Neurodiagnostic Institute, Inc
Gain vs. Sensitivity
  Gain is a measure of the ability to
  change the magnitude of the input
  voltage
  Sensitivity is the amount of output
  (pen deflection) to a given input
  voltage



                                                               26
            Midwest Sleep and Neurodiagnostic Institute, Inc
V=   S x PD


                             V           uV


                          Voltage


         Sensitivity                  Pen Deflection



     S
               S PD
             uV/mm
                                                               mm
                                                                         PD
PD   V                                                               S   V

                                                                         27
            Midwest Sleep and Neurodiagnostic Institute, Inc
Sensitivity Calculations
Sensitivity is at 5uv/mm the voltage is 50 uv what is the
  deflection?

   D = V/S

   D = 5uv/mm 50uv
   D = 10 mm




                                                                    28
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Sensitivity is set at 7 uv/mm and the
deflection is 12 mm. What is the
voltage?
V=SXD

V = 7uv/mm X 11 mm

V = 77 uv



                                                               29
            Midwest Sleep and Neurodiagnostic Institute, Inc
Voltage is 75uv and the deflection is 15
 mm. What is the Sensitivity setting?
S = V/D
S = 15mm 75 uv

S = 5 uv/mm




                                                                 30
              Midwest Sleep and Neurodiagnostic Institute, Inc
60 Hertz Notch Filter

 Also known as an AC Filter
 In North America, all AC electrical current oscillates
 at 60 Hz.
 Uses CMR by tapping into line current and
 measuring it against output.




                                                                    31
                 Midwest Sleep and Neurodiagnostic Institute, Inc
60 Hertz Notch Filter
100
 90
 80
 70
 60
 50
 40
 30
 20
 10
  0
      40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80
                                                                          32
                       Midwest Sleep and Neurodiagnostic Institute, Inc
Units of Measure Used in Filtering
  Hertz (Hz)
      Most common unit in electroneurodiagnostics
  Second (sec)
      Used in Time Constant (TC) filter calculations
  Decibels (dbl)
      Most basic unit of measure in frequency filtering
      Rarely referred to in sleep diagnostics



                                                                     33
                  Midwest Sleep and Neurodiagnostic Institute, Inc
Time Constant (TC)
Units = seconds (s)
The time it takes in seconds 100%
     for a waveform to drop to
 37% of its calculated
 amplitude                     37%


Faster TC – Reduces                .003                              .3   1
amp. of slow frequencies       Time (s)
Low cut – high pass
 filter

                                                                              34
                  Midwest Sleep and Neurodiagnostic Institute, Inc
TC (sec) and LFF (Hz) Relationship

  TC and LFF work with same goal
      Reduction of slow frequencies
      Different units of measure to describe the same
       action
  Conversions:

                1                                                          1
LFF =                                                TC =
         2π x TC                                                       2π x LFF

                                                                                  35
                    Midwest Sleep and Neurodiagnostic Institute, Inc
Basics of LFF and HFFs
  Reduces amplitude of listed frequency
  at a fixed value
     20% (Nihon Kohden)
     30% (Grass)
  Reduces amplitude of frequencies
  above (HFF), or below (LFF) at linear
  levels

                                                                 36
              Midwest Sleep and Neurodiagnostic Institute, Inc
Low Frequency Filters

  Designed to reduce the amplitude of
  frequencies at and below the selected
  frequency
  “Low cut, high pass filters”.




                                                               37
            Midwest Sleep and Neurodiagnostic Institute, Inc
Expected Amplitude Decay: LFF = 10Hz
                                     Based on Nihon Kohden filters

            100
             90
            Reduces amplitude of a 10 Hz signal by 20%
              80
              Reduces a 5 Hz signal by 50%
Amplitude




              70

             60    Reduces a 2.5Hz signal by 75%
             50         Reduces a 1.25 Hz signal by 87.5%
             40
             30

             20
             10

              0
                     1.25Hz            2.5Hz                         5Hz            10Hz
                                                                                           38
                                 Midwest Sleep and Neurodiagnostic Institute, Inc
39
Midwest Sleep and Neurodiagnostic Institute, Inc
Low Frequency Response Curve




                                                           40
        Midwest Sleep and Neurodiagnostic Institute, Inc
High Frequency Filters
  Designed to reduce the amplitude of
  frequencies at and above the selected
  frequency
  High cut – low pass filters




                                                               41
            Midwest Sleep and Neurodiagnostic Institute, Inc
Expected Amplitude Decay: HFF = 70Hz
                                  (based on Nihon Kohden filters)



            100

             90
   Reduces amplitude of a 70Hz signal by 20%
     80

            Reduces a 140 Hz signal by 50%
Amplitude




            70

            60
             Reduces a 280 Hz signal by 75%
             50 
                    Reduces a 560 Hz signal by 87.5%
             40

             30

             20
             10

             0
                     70Hz          140Hz                       280Hz            560Hz

                                                                                        42
                             Midwest Sleep and Neurodiagnostic Institute, Inc
High Frequency Response Curve




                                                         43
      Midwest Sleep and Neurodiagnostic Institute, Inc
44
Midwest Sleep and Neurodiagnostic Institute, Inc
Filters Effect Amplitude & Phase


High Filter




Low Filter




  Note: The Higher the filter the lower the amplitude

  Digital Filters will not cause a Phase Shift
                                                                     45
                  Midwest Sleep and Neurodiagnostic Institute, Inc
Direct Current Amplifiers
  Used to amplify signals which represent
  either all negative, or all positive
  voltage
     Not alternating between – and + (AC)
  Used most often with slow trending
  data (SaO2 and heart rate trending)
  No LFF or HFF filters utilized
     TC infinite (No frequencies to filter)

                                                                   46
                Midwest Sleep and Neurodiagnostic Institute, Inc
Wheatstone Bridge Circuit
  A four-arm bridge used to measure
  resistance in a circuit
  Commonly used in DC amplifiers when
  resistance devices are in use
     Strain gauges
        NPT
        Effort gauges



                                                                    47
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Analog to Digital Conversion
  Brainwaves and other PSG signals are
  analog or continuous
  Digital is based on values of 0 or 1
  ADC samples the signal and assigns a
  digital value




                                                               48
            Midwest Sleep and Neurodiagnostic Institute, Inc
Sampling Rate
  The rate at which the computer
  program samples the analog
  information to convert it to digital
  signal.
     The faster the sampling rate the more
      accurate the tracing is
     The faster the sampling rate the larger the
      patient data file will be


                                                                  49
               Midwest Sleep and Neurodiagnostic Institute, Inc
Sampling Rate
  Nyquist principle
     The sampling rate must be at least twice
      as fast as the fastest frequency that will be
      recorded.
     ASET Standard is three times faster than
      the HFF setting
     Can vary by channel
        200+/sec for EEG
        10/sec for respiratory


                                                                    50
                 Midwest Sleep and Neurodiagnostic Institute, Inc
Sampling Rate
  Aliasing
     Sampling rate too low




                                                                  51
               Midwest Sleep and Neurodiagnostic Institute, Inc

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Amplifier and Filter Functions in Sleep Disorder Technology

  • 1. Amplifier Function and Signal Filtering used in Sleep Disorders Technology An Overview
  • 2. Amplifiers and Signal Filtering You Need to know:  What differential amplifier is  What CMR is and how it works  How TC filters work and TC relationship to LFF  How LFF and HFFs work to reduce unwanted frequencies  How a 60Hz notch filter works  Know basic polarity problems  The difference between an AC and DC amplifier  The difference between gain and sensitivity 2 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 3. Terms for Basic Electricity Impedance: The total opposition to current flow including resistance, inductance and capacitance. Measured in ohms. Resistance:The opposition to the flow of current. Measured in ohms. Volt: Measurement of the force pushing current (electrons) through a conductor. Polarity: Refers to the positive or negative poles of a device 3 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 4. Alternating Current (AC) Alternatively flows between positive and negative (protons+ and electrons-) Alternates at 1/60 sec in USA  1/50 sec in Europe 4 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 5. Ohms Law Voltage is equal to current flowing in the circuit, multiplied by the resistance. Voltage = E (volts) Current = I (amps) Resistance = R (ohms) 5 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 6. V= I x R E Voltage Current Resistance I I R R R E I E 6 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 7. The Polygraphic Circuit The function of the polygraph is to transform voltages generated by body into an interpretable record 7 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 8. G2 G1 - - - - + + + Chart Drive - - + ++ Paper / computer 8 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 9. Signal Processing Electro conductive material Electrode  These act as a small capacitor Wire to head box Exploring electrode  C3, C4  O1, O2 Reference electrode  A1, A2 9 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 10. 10 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 11. Ground Leakage current results when there is either a break or a shunt in the circuit. Patient grounding is essential in artifact elimination and proper amplifier function. Symbol for Ground 11 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 12. Differential Amplifier Form of AC amplifier Amplifies the difference between input (grid) 1 and input (grid) 2 Rejects any similar information between G1 and G2 (CMR) 12 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 13. Common Mode Rejection Common function of differential amplifier Rejection of similar activity between input 1 and input 2  Identical information rejected at near 100% 13 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 14. Polarity and Localization Input 1  When input one is negative, the pen goes up, when input one is positive, the pen goes down. Input 2  When input two is positive, the pen goes up, when input two is negative, the pen goes down. 14 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 15. Basic Polarity and Localization Up rules Down rules Input 1 (G1) Negative Positive Input 1 rules Input 2 (G2) Positive Negative Input 2 rules 15 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 16. AC coupled Amplifier Common Mode Rejection Ratio Common Input Signal Should be high ie. 100,000 to 1 Output Signal 16 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 17. Polarity Calculation 26 uv + 41 uv -15 uv 26 - 15 + 41 uv 17 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 18. Galvanometer Limited to a maximum response of 90 - 120hz 18 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 19. Amplifier/Machine Calibration All filters set the same 19 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 20. Montage Calibration 20 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 21. Time Axis  The point (time) at which each pen falls along the same recording line  The galvonometer or pen mount may be adjusted to correct problems  Not a problem with digital systems 21 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 22. Damping Adjustment to reduce overshoot good Reduces erroneous fast-wave artifact Only adjusted on Under polygraphs damping  Not digital systems Over damping 22 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 23. Mechanical Baseline Pen spacing without amplifier input to pens. 23 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 24. Electrical Baseline  The “electrical zero” of a recording pen position Mechanical Baseline needs  Found by turning the adjustment individual chart amplifier power off and on while adjusting the baseline knob.  EZ if found when the pen stops changing Electrical Zero positions between power-on, and power-off 24 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 25. 1. Unequal sensitivity 2. Pen alignment— time axis 3. Pen baseline off 4. LFF different setting 25 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 26. Gain vs. Sensitivity Gain is a measure of the ability to change the magnitude of the input voltage Sensitivity is the amount of output (pen deflection) to a given input voltage 26 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 27. V= S x PD V uV Voltage Sensitivity Pen Deflection S S PD uV/mm mm PD PD V S V 27 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 28. Sensitivity Calculations Sensitivity is at 5uv/mm the voltage is 50 uv what is the deflection? D = V/S D = 5uv/mm 50uv D = 10 mm 28 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 29. Sensitivity is set at 7 uv/mm and the deflection is 12 mm. What is the voltage? V=SXD V = 7uv/mm X 11 mm V = 77 uv 29 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 30. Voltage is 75uv and the deflection is 15 mm. What is the Sensitivity setting? S = V/D S = 15mm 75 uv S = 5 uv/mm 30 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 31. 60 Hertz Notch Filter Also known as an AC Filter In North America, all AC electrical current oscillates at 60 Hz. Uses CMR by tapping into line current and measuring it against output. 31 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 32. 60 Hertz Notch Filter 100 90 80 70 60 50 40 30 20 10 0 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 32 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 33. Units of Measure Used in Filtering Hertz (Hz)  Most common unit in electroneurodiagnostics Second (sec)  Used in Time Constant (TC) filter calculations Decibels (dbl)  Most basic unit of measure in frequency filtering  Rarely referred to in sleep diagnostics 33 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 34. Time Constant (TC) Units = seconds (s) The time it takes in seconds 100% for a waveform to drop to 37% of its calculated amplitude 37% Faster TC – Reduces .003 .3 1 amp. of slow frequencies Time (s) Low cut – high pass filter 34 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 35. TC (sec) and LFF (Hz) Relationship TC and LFF work with same goal  Reduction of slow frequencies  Different units of measure to describe the same action Conversions: 1 1 LFF = TC = 2π x TC 2π x LFF 35 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 36. Basics of LFF and HFFs Reduces amplitude of listed frequency at a fixed value  20% (Nihon Kohden)  30% (Grass) Reduces amplitude of frequencies above (HFF), or below (LFF) at linear levels 36 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 37. Low Frequency Filters Designed to reduce the amplitude of frequencies at and below the selected frequency “Low cut, high pass filters”. 37 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 38. Expected Amplitude Decay: LFF = 10Hz Based on Nihon Kohden filters 100 90 Reduces amplitude of a 10 Hz signal by 20% 80  Reduces a 5 Hz signal by 50% Amplitude 70 60  Reduces a 2.5Hz signal by 75% 50  Reduces a 1.25 Hz signal by 87.5% 40 30 20 10 0 1.25Hz 2.5Hz 5Hz 10Hz 38 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 39. 39 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 40. Low Frequency Response Curve 40 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 41. High Frequency Filters Designed to reduce the amplitude of frequencies at and above the selected frequency High cut – low pass filters 41 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 42. Expected Amplitude Decay: HFF = 70Hz (based on Nihon Kohden filters) 100 90 Reduces amplitude of a 70Hz signal by 20% 80 Reduces a 140 Hz signal by 50% Amplitude  70 60  Reduces a 280 Hz signal by 75% 50  Reduces a 560 Hz signal by 87.5% 40 30 20 10 0 70Hz 140Hz 280Hz 560Hz 42 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 43. High Frequency Response Curve 43 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 44. 44 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 45. Filters Effect Amplitude & Phase High Filter Low Filter Note: The Higher the filter the lower the amplitude Digital Filters will not cause a Phase Shift 45 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 46. Direct Current Amplifiers Used to amplify signals which represent either all negative, or all positive voltage  Not alternating between – and + (AC) Used most often with slow trending data (SaO2 and heart rate trending) No LFF or HFF filters utilized  TC infinite (No frequencies to filter) 46 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 47. Wheatstone Bridge Circuit A four-arm bridge used to measure resistance in a circuit Commonly used in DC amplifiers when resistance devices are in use  Strain gauges  NPT  Effort gauges 47 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 48. Analog to Digital Conversion Brainwaves and other PSG signals are analog or continuous Digital is based on values of 0 or 1 ADC samples the signal and assigns a digital value 48 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 49. Sampling Rate The rate at which the computer program samples the analog information to convert it to digital signal.  The faster the sampling rate the more accurate the tracing is  The faster the sampling rate the larger the patient data file will be 49 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 50. Sampling Rate Nyquist principle  The sampling rate must be at least twice as fast as the fastest frequency that will be recorded.  ASET Standard is three times faster than the HFF setting  Can vary by channel  200+/sec for EEG  10/sec for respiratory 50 Midwest Sleep and Neurodiagnostic Institute, Inc
  • 51. Sampling Rate Aliasing  Sampling rate too low 51 Midwest Sleep and Neurodiagnostic Institute, Inc