SlideShare uma empresa Scribd logo
1 de 8
Baixar para ler offline
International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 6, Issue 3 (March 2013), PP. 15-22

         Design of an Efficient Low Power Multi Modulus
                             Prescaler
                      1
                          Mr.A.Arunprasath, 2Mr.J.Raja, 3Dr.S.M.Ramesh
                       1,2
                             PG Scholar, M.E (VLSI Design) Department of ECE B.I.T,Sathy
                              3
                                Assistant Professor (Sr.G) Department of ECE B.I.T,Sathy


    Abstract:-Prescaler is a critical block in power conscious PLL design. A new design technique that
    improves operating speed of true single-phase clock-based (TSPC) prescalers is presented. A reset
    signal is added to the positive edge triggered TSPC DFF to obtain the objective of multi modulus
    prescaler that is frequency division (High frequency to low frequency). Two Dual-modulus prescalers
    2/3 and 3/4 prescalers are designed using TSPC positive edge triggered DFF and CMOS nor gates. By
    using the two dual modulus prescalers, multi modulus prescaler is designed to provide multiple
    division ratios a`nd their performances are compared with previous work. The speed of the 2/3 and 3/4
    prescaler are improved at the maximum operating frequency. The power efficient multi modulus
    prescaler is designed using Tanner EDA tool and its performance are compared. A Simulation and
    measurement results shows high-speed, low-power, low PDP and multiple division ratio capabilities of
    the power efficient technique. The improved speed, the power efficiency, and the flexibility will
    promote its wide deployment in Multi gigahertz range applications.

    Keywords:-tspc dff, cmos nor, 2/3 prescaler, 3/4 prescaler, multi modulus prescaler, pll, pseudo nmos
    nor, nmos nor

                                               I. INTRODUCTION
         A prescaler is a circuit which generates an output signal related to an input signal by a fractional scale
factor. Prescaler circuits are useful in many applications such as clock generation in digital circuits and phase-
locked loop (PLL) circuits. It is usually desired to divide a clock signal by an integer N. Prescalers are used in
the feedback loop between the output of a Voltage-controlled oscillator (VCO) and the phase frequency detector
in phase locked loop (PLL) frequency synthesizers to generate higher frequencies.

1.1 Dual modulus Prescaler
         The high-speed frequency divider is a key block in frequency synthesis. The prescaler is the most
challenging part in the high-speed frequency-divider design because it operates at the highest input frequency. A
dual-modulus prescaler usually consists of a divide-by-2/3 (or 4/5) unit followed by several asynchronous
divide-by-2 units. The operation of the divide-by-2/3 unit at the highest input frequency makes it the bottleneck
of the prescaler design. To achieve the two different division ratios, D flip-flops (DFFs) and additional logic
gates, which reduce the operating frequency by introducing an additional propagation delay, are used in the unit.
The power consumption of this divide-by-2/3 unit, which is the greatest portion of the total power consumption
in the prescaler, significantly increases due to the power consumption of the additional components. In modern
wireless communication systems, the power consumption is a key consideration for the longer battery life. The
MOS current mode logic (MCML) circuit, which is of high power consumption, is commonly used to achieve
the high operating frequency, while a true single-phase clock (TSPC) dynamic circuit, which only consumes
power during switching, has a lower operating frequency.

1.2 Multi modulus prescaler
         A multi modulus prescaler usually consists of two dual modulus prescalers to provide multiple division
ratios. By using the control signals (mc1, mc2, mc3) we can control the multi modulus prescaler to perform
various frequency division operations.

1.3 True single phase clock Edge triggered d flip-flop with reset
        An efficient functional alternative to a D flip-flop can be made with dynamic circuits as long as it is
clocked often enough; while not a true flip-flop, it is still called a flip-flop for its functional role. While the
master–slave D element is triggered on the edge of a clock, its components are each triggered by clock levels.
The "edge-triggered D flip-flop", as it is called even though it is not a true flip-flop, does not have the master–
                                                        15
Design of An Efficient Low Power Multi Modulus Prescaler

slave properties. Edge-triggered D flip-flops are often implemented in integrated high-speed operations using
dynamic logic. This means that the digital output is stored on parasitic device capacitance while the device is not
transitioning. This design of dynamic flip flops also enables simple resetting since the reset operation can be
performed by simply discharging one or more internal nodes. A common dynamic flip-flop variety is the true
single-phase clock (TSPC) type which performs the flip-flop operation with little power and at high speeds.
However, dynamic flip-flops will typically not work at static or low clock speeds: given enough time, leakage
paths may discharge the parasitic capacitance enough to cause the flip-flop to enter invalid states.
           TSPC dynamic CMOS circuit is operated with one clock signal only to avoid clock skew problems.
One reset signal is added with the TSPC circuit. Fig.1. below shows the TSPC flip-flop with reset. This TSPC
circuit is used in the 2/3 and 3/4 prescaler. Fig.2. below shows the symbol of TSPC positive edge triggered d
flip-flop. This symbol is used in 2/3 prescaler and 3/4 prescaler designs.




                                     Fig.1: TSPC Edge triggered d flip-flop




                                Fig.2: TSPC Edge triggered d flip-flop – symbol

1.4 CMOS NOR GATE
         Nor gate is designed using CMOS transistors to achieve low power consumption. Various design
techniques such as NMOS nor, Pseudo NMOS nor has been considered but the power consumption is high even
though they have less no transistors, two and three transistors respectively. Fig.2. below shows the cmos nor
gate. Fig.3. below shows the nmos nor gate and Fig.4. below shows the pseudo nmos nor gate.




                                             Fig.3: CMOS nor gate



                                                        16
Design of An Efficient Low Power Multi Modulus Prescaler




                                             Fig.4: NMOS nor gate




                                          Fig.5: Pseudo nmos nor gate

                                      II. DUAL MODULUS PRESCALERS
2.1 2/3 prescaler
          The 2/3 prescaler unit uses two TSPC edge triggered D flip-flop and two CMOS NOR gates as showed
in the fig.6. Instead of TSPC D flip-flops, I have proposed a TSPC positive edge triggered D flip-flop. It
includes reset signal as well.
The output of the first D flip-flop is given to NOR gate as one of the input, and the other input is left for control
signal mc. The output of the NOR gate is given to second NOR gate as one input and the other input is
connected the input (D) of the first flip-flop. The output of the second NOR is given to second D flip-flop.
Clock input (fin) is given to two D flip-flops. We can get the desired output (fout) from the output of the second
D flip-flop.
          Two division operations are performed here, by changing the value of control signal (mc) as „1‟ or „0‟.
When mc=‟1‟, the 2/3 prescaler is operated in divide by 2 mode. When mc=‟0‟, the 2/3 prescaler is operated in
divide by 3 mode. Fig.8. below shows the symbol of 2/3 prescaler. This symbol is used in the multi modulus
prescaler design.




                                                Fig.6: 2/3 Prescaler

                                                         17
Design of An Efficient Low Power Multi Modulus Prescaler




                                    Fig.7: 2/3 Prescaler – schematic diagram




                                          Fig.8: 2/3 prescaler – symbol

2.2 3/4 Prescaler
          The 3/4 prescaler unit uses TSPC positive edge triggered D flip-flop and two CMOS NOR gates as
showed in the fig.8. Instead of TSPC D flip-flops, I have proposed a TSPC positive edge triggered D flip-flop. It
includes reset signal as well.
          The output of the first D flip-flop is given to first NOR gate as one of the input, and the other input is
left for control signal mc. The output of the first NOR gate is given to the second NOR gate as one input and the
other input is given by inverted output (Qbar) of first D flip-flop. The output of the second NOR gate is given to
second D flip-flop. Clock input (fin) is given to two D flip-flops. We can get the desired output (fout) from the
output of second D flip-flop.
          Two division operations can perform here, by changing the value of control signal (mc) as „1‟ or „0‟.
When mc=‟1‟, the 3/4 prescaler is operated in divide by 3 mode. When mc=‟0‟, the 3/4 prescaler is operated in
divide by 4 mode. Fig.11. below shows the symbol of 2/3 prescaler. This symbol is used in the multi modulus
prescaler design.




                                               Fig.9: 3/4 Prescaler




                                    Fig.10: 3/4 prescaler – schematic diagram
                                                        18
Design of An Efficient Low Power Multi Modulus Prescaler




                                         Fig.11: 3/4 prescaler – symbol

                                    III. MULTI MODULUS PRESCALER
         Multi modulus prescaler is designed using two dual modulus 2/3, 3/4 prescaler and CMOS NOR gates.
Clock input (Fin) is given to 3/4 prescaler, the output of the 3/4 prescaler is given to 2/3 prescaler. The desired
output (fout) is get from the 2/3 prescaler. Various control signals mc1, mc2, mc3 are used here to control the
multi modulus prescaler to work in the desired divide mode. The block diagram of the multi modulus prescaler
shown in fig.12.




                                        Fig.12: Multi Modulus Prescaler




                             Fig.13: Multi Modulus Prescaler - schematic diagram




                                   Fig.14: Multi Modulus Prescaler - symbol



                                                        19
Design of An Efficient Low Power Multi Modulus Prescaler

3.1 Simulation results
         The Tanner EDA simulator is used to obtain the simulated output for Multi Modulus Prescaler. The
simulated waveforms are obtained by assigning the inputs at various levels of extraction and the corresponding
outputs are obtained from the assigned inputs. The outputs obtained are complementary with respect to the
corresponding complementary inputs. We analyze and compare the proposed prescalers. The simulated
waveforms of the proposed work are shown here




              Fig.15: Multi Modulus Prescaler - Divide by 8 mode when mc1=0,mc2=1,mc3=0.




              Fig.16: Multi Modulus Prescaler - Divide by 7 mode when mc1=0,mc2=1,mc3=1.




              Fig.17: Multi Modulus Prescaler - Divide by 9 mode when mc1=1,mc2=1,mc3=0.




             Fig.18: Multi Modulus Prescaler - Divide by 13 mode when mc1=1,mc2=0,mc3=1.



                                                     20
Design of An Efficient Low Power Multi Modulus Prescaler

         Table 1. Performance analysis of Multi Modulus Prescalers
                  Multi Modulus            Multi Modulus Prescaler -
                  Prescaler -              Proposed
                  Conventional
Voltage(v)        Po Del Po         No. Po        Del Powe No.of.Tra
                  w     ay( wer of.T wer ay(             r       nsistors
                  er ns) del ran (m               ns)    delay
                  (           ay    sist w)              prod
                  m           pro ors                    uct(p
                  w)          duc                        J)
                              t(p
                              J)
1.5               0. 41. 5.2               0.07 15.9 1.131
                  12 215 34                1      43                 72
                  7                 140
2                 0. 26. 6.8               0.15 15.7 2.497
                  25 755 76                9      05
                  7




                                   21
Design of An Efficient Low Power Multi Modulus Prescaler

                                               IV. CONCLUSION
         Multi-modulus prescaler is a critical block in power conscious PLL design. A new design technique for
high-speed low-power prescalers is presented. By modifying the, two Dff‟s in to TSPC positive edge triggered
D flip-flops, including NOR gates in between two D flip-flops to provide multiple division ratios. This
technique is applied to the 2/3 and 3/4 prescalers. With the help of those dual modulus prescalers, multi modulus
prescaler has been designed. Comparing with the conventional designs, proposed multi modulus prescaler
provides low power consumption and high speed as well. Power, Delay and Power Delay Product (PDP) are
reduced. The primary objective of the prescaler is a frequency reduction that is also achieved. The improved
speed, the power efficiency, and the flexibility will promote its wide deployment in multi gigahertz range
applications.

                                       V. FUTURE ENHANCEMENT
        Further work can be carried out by still optimizing the architecture for power and delay by reducing the
number of nodes by implementing Transmission Gates.

                                               REFERFNCES
[1]    Wu-Hsin chen and Byunghoo Jung, (2011) “High–Speed Low–Power True Single–Phase Clock Dual-
       Modulus Prescaler” IEEE transactions on circuits and systems—ii: express briefs, Vol. 58, No. 3, pp.144
       -148.
[2]    Cao C, (2005), “A power efficient 26-GHz 32:1 static frequency divider in 130-nm bulk cmos,” IEEE
       Microw. Wireless Compon. Lett., Vol. 15, No. 11, pp. 721–723.
[3]    De Miranda F.P.H, Navarro Jr S.J, and Van Noije W.A.M, ( 2004), “A 4 GHz dual modulus divider-by
       32/33 prescaler in 0.35 um CMOS technology,” in Proc. IEEE 17th Symp. on Circuits and Syst. Design,
       Vol. 17, pp. 94–99.
[4]    Huang Q and RogenmoserR,( 1996), “Speed optimization of edge-triggered CMOS circuits for gigahertz
       single-phase clocks,” IEEE J. Solid-State Circuits, Vol. 31, No. 3, pp. 456–465.
[5]    Ji-ren J, Karlsson I, and Svensson C, (1989), “A true single-phase-clock dynamic CMOS circuit
       technique,” IEEE J. Solid-State Circuits, Vol. 24, pp. 62–70.
[6]    Krishna M, Do M.A, Yeo K.S, C. C. Boon, andW.M. Lim, (2010), “Design and analysis of ultra low
       power true single phase clock CMOS 2/3 prescaler,” IEEE Trans. Circuits Syst. I, Reg. Papers, Vol. 57,
       No. 1, pp. 72–82.
[7]    Pellerano S, Levantino S, Samori C, and Lacaita A, (2004), “A 13.5-Mw 5- GHz frequency synthesizer
       with dynamic-logic frequency divider,” IEEE J. Solid-State Circuits, Vol. 39, No. 2, pp. 378–383.
[8]    Razavi B, Lee K, and Yan R.H, (1994), “A 13.4-GHz CMOS frequency divider,” in Proc. 41st IEEE Int.
       Solid-State Circuits Conf. Dig. Tech. Papers., pp. 176–177.
[9]    Vaucher C.S, Ferencic I, Locher M, Sedvallson S, Voegeli U, and Wang Z,              (1994), “A family of
       low-power truly programmable dividers in standard 0.35 um CMOS technology,” IEEE J. Solid-state
       Circuits, Vol. 35, No. 7, pp. 1039–1045.
[10]   Wohlmuth H.D, and Kehrer D,( 2005),“A 24 GHz dual-modulus prescaler in 90 nm CMOS,” in IEEE Int.
       Symp. on Circuits and Syst., , Vol. 4, pp. 3227–3230.
[11]   Yu X.P, Do M.A, Lim W.M, Yeo K.S, and Ma J.G, (2006), “Design and optimization of the extended
       true single-phase clock-based prescaler,” IEEETrans. Microw. Theory Tech., Vol. 54, No. 11, pp. 3828–
       3835.




                                                       22

Mais conteúdo relacionado

Mais procurados

3512vlsics05
3512vlsics053512vlsics05
3512vlsics05
arathyg
 
Performances des turbo codes parallèles pour un canal satellite non linéaire
Performances des turbo codes parallèles pour un canal satellite non linéairePerformances des turbo codes parallèles pour un canal satellite non linéaire
Performances des turbo codes parallèles pour un canal satellite non linéaire
Rachidz
 
A performance a performance a performance a performance a performance a perfo...
A performance a performance a performance a performance a performance a perfo...A performance a performance a performance a performance a performance a perfo...
A performance a performance a performance a performance a performance a perfo...
Alexander Decker
 

Mais procurados (19)

Spur Reduction Of MB-OFDM UWB System using CMOS Frequency Synthesizer
Spur Reduction Of MB-OFDM UWB System using CMOS Frequency SynthesizerSpur Reduction Of MB-OFDM UWB System using CMOS Frequency Synthesizer
Spur Reduction Of MB-OFDM UWB System using CMOS Frequency Synthesizer
 
3512vlsics05
3512vlsics053512vlsics05
3512vlsics05
 
DPRSG IC Design
DPRSG IC DesignDPRSG IC Design
DPRSG IC Design
 
Analysis of pocket double gate tunnel fet for low stand by power logic circuits
Analysis of pocket double gate tunnel fet for low stand by power logic circuitsAnalysis of pocket double gate tunnel fet for low stand by power logic circuits
Analysis of pocket double gate tunnel fet for low stand by power logic circuits
 
DESIGN OF A HIGH PRECISION, WIDE RANGED ANALOG CLOCK GENERATOR WITH FIELD PRO...
DESIGN OF A HIGH PRECISION, WIDE RANGED ANALOG CLOCK GENERATOR WITH FIELD PRO...DESIGN OF A HIGH PRECISION, WIDE RANGED ANALOG CLOCK GENERATOR WITH FIELD PRO...
DESIGN OF A HIGH PRECISION, WIDE RANGED ANALOG CLOCK GENERATOR WITH FIELD PRO...
 
A report on 2 to 1 mux using tg
A report on 2 to 1 mux using tgA report on 2 to 1 mux using tg
A report on 2 to 1 mux using tg
 
Chapter 10
Chapter 10Chapter 10
Chapter 10
 
38
3838
38
 
(VLSI DESIGN AND EMBEDDED SYSTEMS) technical seminar-2015
(VLSI DESIGN AND EMBEDDED SYSTEMS) technical seminar-2015(VLSI DESIGN AND EMBEDDED SYSTEMS) technical seminar-2015
(VLSI DESIGN AND EMBEDDED SYSTEMS) technical seminar-2015
 
Agostinho2008
Agostinho2008Agostinho2008
Agostinho2008
 
Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18-µm technology ...
Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18-µm technology ...Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18-µm technology ...
Performance Comparison of RF CMOS Low Noise Amplifiers in 0.18-µm technology ...
 
CMOS Dynamic Logic: A Review
CMOS Dynamic Logic: A ReviewCMOS Dynamic Logic: A Review
CMOS Dynamic Logic: A Review
 
15 47-58
15 47-5815 47-58
15 47-58
 
Performances des turbo codes parallèles pour un canal satellite non linéaire
Performances des turbo codes parallèles pour un canal satellite non linéairePerformances des turbo codes parallèles pour un canal satellite non linéaire
Performances des turbo codes parallèles pour un canal satellite non linéaire
 
A 10-bit, 200MS/s CMOS Pipeline ADC using new shared opamp architecture
A 10-bit, 200MS/s CMOS Pipeline ADC using new shared opamp architecture A 10-bit, 200MS/s CMOS Pipeline ADC using new shared opamp architecture
A 10-bit, 200MS/s CMOS Pipeline ADC using new shared opamp architecture
 
M.TECH IEEE.Technical seminar paper for Vlsi design and embedded systems.
M.TECH IEEE.Technical seminar paper for Vlsi design and embedded systems.M.TECH IEEE.Technical seminar paper for Vlsi design and embedded systems.
M.TECH IEEE.Technical seminar paper for Vlsi design and embedded systems.
 
Opampless sigma delta_2019
Opampless sigma delta_2019Opampless sigma delta_2019
Opampless sigma delta_2019
 
LOW POWER LOW VOLTAGE BULK DRIVEN BALANCED OTA
LOW POWER LOW VOLTAGE BULK DRIVEN BALANCED OTALOW POWER LOW VOLTAGE BULK DRIVEN BALANCED OTA
LOW POWER LOW VOLTAGE BULK DRIVEN BALANCED OTA
 
A performance a performance a performance a performance a performance a perfo...
A performance a performance a performance a performance a performance a perfo...A performance a performance a performance a performance a performance a perfo...
A performance a performance a performance a performance a performance a perfo...
 

Destaque

Destaque (7)

International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)
 
International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)
 
Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)Welcome to International Journal of Engineering Research and Development (IJERD)
Welcome to International Journal of Engineering Research and Development (IJERD)
 
International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)
 

Semelhante a Welcome to International Journal of Engineering Research and Development (IJERD)

High performance novel dual stack gating technique for reduction of ground bo...
High performance novel dual stack gating technique for reduction of ground bo...High performance novel dual stack gating technique for reduction of ground bo...
High performance novel dual stack gating technique for reduction of ground bo...
eSAT Journals
 
Iaetsd design of a low power multiband clock distribution circuit
Iaetsd design of a low power multiband clock distribution circuitIaetsd design of a low power multiband clock distribution circuit
Iaetsd design of a low power multiband clock distribution circuit
Iaetsd Iaetsd
 
Iaetsd glitch free nand based digitally controlled delay lines using low power
Iaetsd glitch free nand based digitally controlled delay lines using low powerIaetsd glitch free nand based digitally controlled delay lines using low power
Iaetsd glitch free nand based digitally controlled delay lines using low power
Iaetsd Iaetsd
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
ijceronline
 
Iaetsd low power flip flops for vlsi applications
Iaetsd low power flip flops for vlsi applicationsIaetsd low power flip flops for vlsi applications
Iaetsd low power flip flops for vlsi applications
Iaetsd Iaetsd
 
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
IJERA Editor
 
Design of -- Two phase non overlapping low frequency clock generator using Ca...
Design of -- Two phase non overlapping low frequency clock generator using Ca...Design of -- Two phase non overlapping low frequency clock generator using Ca...
Design of -- Two phase non overlapping low frequency clock generator using Ca...
Prashantkumar R
 
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOPLEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
VLSICS Design
 

Semelhante a Welcome to International Journal of Engineering Research and Development (IJERD) (20)

Is3515091514
Is3515091514Is3515091514
Is3515091514
 
J42046469
J42046469J42046469
J42046469
 
High performance novel dual stack gating technique for reduction of ground bo...
High performance novel dual stack gating technique for reduction of ground bo...High performance novel dual stack gating technique for reduction of ground bo...
High performance novel dual stack gating technique for reduction of ground bo...
 
Iaetsd design of a low power multiband clock distribution circuit
Iaetsd design of a low power multiband clock distribution circuitIaetsd design of a low power multiband clock distribution circuit
Iaetsd design of a low power multiband clock distribution circuit
 
Ad4103173176
Ad4103173176Ad4103173176
Ad4103173176
 
Design and simulation of cmos ota
Design and simulation of cmos otaDesign and simulation of cmos ota
Design and simulation of cmos ota
 
High performance novel dual stack gating technique
High performance novel dual stack gating techniqueHigh performance novel dual stack gating technique
High performance novel dual stack gating technique
 
Iaetsd glitch free nand based digitally controlled delay lines using low power
Iaetsd glitch free nand based digitally controlled delay lines using low powerIaetsd glitch free nand based digitally controlled delay lines using low power
Iaetsd glitch free nand based digitally controlled delay lines using low power
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
 
Design of ultra low power 8 channel analog multiplexer using dynamic threshol...
Design of ultra low power 8 channel analog multiplexer using dynamic threshol...Design of ultra low power 8 channel analog multiplexer using dynamic threshol...
Design of ultra low power 8 channel analog multiplexer using dynamic threshol...
 
Iaetsd low power flip flops for vlsi applications
Iaetsd low power flip flops for vlsi applicationsIaetsd low power flip flops for vlsi applications
Iaetsd low power flip flops for vlsi applications
 
F0333237
F0333237F0333237
F0333237
 
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
DESIGN OF A LOW POWER MULTIBAND CLOCK DISTRIBUTION CIRCUIT USING SINGLE PHASE...
 
Design and Analysis of Sequential Elements for Low Power Clocking System with...
Design and Analysis of Sequential Elements for Low Power Clocking System with...Design and Analysis of Sequential Elements for Low Power Clocking System with...
Design and Analysis of Sequential Elements for Low Power Clocking System with...
 
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
 
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
A Novel Flipflop Topology for High Speed and Area Efficient Logic Structure D...
 
Compact low power high slew-rate cmos buffer amplifier with power gating tech...
Compact low power high slew-rate cmos buffer amplifier with power gating tech...Compact low power high slew-rate cmos buffer amplifier with power gating tech...
Compact low power high slew-rate cmos buffer amplifier with power gating tech...
 
Design of -- Two phase non overlapping low frequency clock generator using Ca...
Design of -- Two phase non overlapping low frequency clock generator using Ca...Design of -- Two phase non overlapping low frequency clock generator using Ca...
Design of -- Two phase non overlapping low frequency clock generator using Ca...
 
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOPLEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
LEAKAGE REDUCTION TECHNIQUE AND ANALYSIS OF CMOS D FLIP FLOP
 

Mais de IJERD Editor

A Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
A Novel Method for Prevention of Bandwidth Distributed Denial of Service AttacksA Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
A Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
IJERD Editor
 
Gold prospecting using Remote Sensing ‘A case study of Sudan’
Gold prospecting using Remote Sensing ‘A case study of Sudan’Gold prospecting using Remote Sensing ‘A case study of Sudan’
Gold prospecting using Remote Sensing ‘A case study of Sudan’
IJERD Editor
 
Gesture Gaming on the World Wide Web Using an Ordinary Web Camera
Gesture Gaming on the World Wide Web Using an Ordinary Web CameraGesture Gaming on the World Wide Web Using an Ordinary Web Camera
Gesture Gaming on the World Wide Web Using an Ordinary Web Camera
IJERD Editor
 
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
IJERD Editor
 
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
IJERD Editor
 

Mais de IJERD Editor (20)

A Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
A Novel Method for Prevention of Bandwidth Distributed Denial of Service AttacksA Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
A Novel Method for Prevention of Bandwidth Distributed Denial of Service Attacks
 
MEMS MICROPHONE INTERFACE
MEMS MICROPHONE INTERFACEMEMS MICROPHONE INTERFACE
MEMS MICROPHONE INTERFACE
 
Influence of tensile behaviour of slab on the structural Behaviour of shear c...
Influence of tensile behaviour of slab on the structural Behaviour of shear c...Influence of tensile behaviour of slab on the structural Behaviour of shear c...
Influence of tensile behaviour of slab on the structural Behaviour of shear c...
 
Gold prospecting using Remote Sensing ‘A case study of Sudan’
Gold prospecting using Remote Sensing ‘A case study of Sudan’Gold prospecting using Remote Sensing ‘A case study of Sudan’
Gold prospecting using Remote Sensing ‘A case study of Sudan’
 
Reducing Corrosion Rate by Welding Design
Reducing Corrosion Rate by Welding DesignReducing Corrosion Rate by Welding Design
Reducing Corrosion Rate by Welding Design
 
Router 1X3 – RTL Design and Verification
Router 1X3 – RTL Design and VerificationRouter 1X3 – RTL Design and Verification
Router 1X3 – RTL Design and Verification
 
Active Power Exchange in Distributed Power-Flow Controller (DPFC) At Third Ha...
Active Power Exchange in Distributed Power-Flow Controller (DPFC) At Third Ha...Active Power Exchange in Distributed Power-Flow Controller (DPFC) At Third Ha...
Active Power Exchange in Distributed Power-Flow Controller (DPFC) At Third Ha...
 
Mitigation of Voltage Sag/Swell with Fuzzy Control Reduced Rating DVR
Mitigation of Voltage Sag/Swell with Fuzzy Control Reduced Rating DVRMitigation of Voltage Sag/Swell with Fuzzy Control Reduced Rating DVR
Mitigation of Voltage Sag/Swell with Fuzzy Control Reduced Rating DVR
 
Study on the Fused Deposition Modelling In Additive Manufacturing
Study on the Fused Deposition Modelling In Additive ManufacturingStudy on the Fused Deposition Modelling In Additive Manufacturing
Study on the Fused Deposition Modelling In Additive Manufacturing
 
Spyware triggering system by particular string value
Spyware triggering system by particular string valueSpyware triggering system by particular string value
Spyware triggering system by particular string value
 
A Blind Steganalysis on JPEG Gray Level Image Based on Statistical Features a...
A Blind Steganalysis on JPEG Gray Level Image Based on Statistical Features a...A Blind Steganalysis on JPEG Gray Level Image Based on Statistical Features a...
A Blind Steganalysis on JPEG Gray Level Image Based on Statistical Features a...
 
Secure Image Transmission for Cloud Storage System Using Hybrid Scheme
Secure Image Transmission for Cloud Storage System Using Hybrid SchemeSecure Image Transmission for Cloud Storage System Using Hybrid Scheme
Secure Image Transmission for Cloud Storage System Using Hybrid Scheme
 
Application of Buckley-Leverett Equation in Modeling the Radius of Invasion i...
Application of Buckley-Leverett Equation in Modeling the Radius of Invasion i...Application of Buckley-Leverett Equation in Modeling the Radius of Invasion i...
Application of Buckley-Leverett Equation in Modeling the Radius of Invasion i...
 
Gesture Gaming on the World Wide Web Using an Ordinary Web Camera
Gesture Gaming on the World Wide Web Using an Ordinary Web CameraGesture Gaming on the World Wide Web Using an Ordinary Web Camera
Gesture Gaming on the World Wide Web Using an Ordinary Web Camera
 
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...
 
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...
 
Moon-bounce: A Boon for VHF Dxing
Moon-bounce: A Boon for VHF DxingMoon-bounce: A Boon for VHF Dxing
Moon-bounce: A Boon for VHF Dxing
 
“MS-Extractor: An Innovative Approach to Extract Microsatellites on „Y‟ Chrom...
“MS-Extractor: An Innovative Approach to Extract Microsatellites on „Y‟ Chrom...“MS-Extractor: An Innovative Approach to Extract Microsatellites on „Y‟ Chrom...
“MS-Extractor: An Innovative Approach to Extract Microsatellites on „Y‟ Chrom...
 
Importance of Measurements in Smart Grid
Importance of Measurements in Smart GridImportance of Measurements in Smart Grid
Importance of Measurements in Smart Grid
 
Study of Macro level Properties of SCC using GGBS and Lime stone powder
Study of Macro level Properties of SCC using GGBS and Lime stone powderStudy of Macro level Properties of SCC using GGBS and Lime stone powder
Study of Macro level Properties of SCC using GGBS and Lime stone powder
 

Welcome to International Journal of Engineering Research and Development (IJERD)

  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 6, Issue 3 (March 2013), PP. 15-22 Design of an Efficient Low Power Multi Modulus Prescaler 1 Mr.A.Arunprasath, 2Mr.J.Raja, 3Dr.S.M.Ramesh 1,2 PG Scholar, M.E (VLSI Design) Department of ECE B.I.T,Sathy 3 Assistant Professor (Sr.G) Department of ECE B.I.T,Sathy Abstract:-Prescaler is a critical block in power conscious PLL design. A new design technique that improves operating speed of true single-phase clock-based (TSPC) prescalers is presented. A reset signal is added to the positive edge triggered TSPC DFF to obtain the objective of multi modulus prescaler that is frequency division (High frequency to low frequency). Two Dual-modulus prescalers 2/3 and 3/4 prescalers are designed using TSPC positive edge triggered DFF and CMOS nor gates. By using the two dual modulus prescalers, multi modulus prescaler is designed to provide multiple division ratios a`nd their performances are compared with previous work. The speed of the 2/3 and 3/4 prescaler are improved at the maximum operating frequency. The power efficient multi modulus prescaler is designed using Tanner EDA tool and its performance are compared. A Simulation and measurement results shows high-speed, low-power, low PDP and multiple division ratio capabilities of the power efficient technique. The improved speed, the power efficiency, and the flexibility will promote its wide deployment in Multi gigahertz range applications. Keywords:-tspc dff, cmos nor, 2/3 prescaler, 3/4 prescaler, multi modulus prescaler, pll, pseudo nmos nor, nmos nor I. INTRODUCTION A prescaler is a circuit which generates an output signal related to an input signal by a fractional scale factor. Prescaler circuits are useful in many applications such as clock generation in digital circuits and phase- locked loop (PLL) circuits. It is usually desired to divide a clock signal by an integer N. Prescalers are used in the feedback loop between the output of a Voltage-controlled oscillator (VCO) and the phase frequency detector in phase locked loop (PLL) frequency synthesizers to generate higher frequencies. 1.1 Dual modulus Prescaler The high-speed frequency divider is a key block in frequency synthesis. The prescaler is the most challenging part in the high-speed frequency-divider design because it operates at the highest input frequency. A dual-modulus prescaler usually consists of a divide-by-2/3 (or 4/5) unit followed by several asynchronous divide-by-2 units. The operation of the divide-by-2/3 unit at the highest input frequency makes it the bottleneck of the prescaler design. To achieve the two different division ratios, D flip-flops (DFFs) and additional logic gates, which reduce the operating frequency by introducing an additional propagation delay, are used in the unit. The power consumption of this divide-by-2/3 unit, which is the greatest portion of the total power consumption in the prescaler, significantly increases due to the power consumption of the additional components. In modern wireless communication systems, the power consumption is a key consideration for the longer battery life. The MOS current mode logic (MCML) circuit, which is of high power consumption, is commonly used to achieve the high operating frequency, while a true single-phase clock (TSPC) dynamic circuit, which only consumes power during switching, has a lower operating frequency. 1.2 Multi modulus prescaler A multi modulus prescaler usually consists of two dual modulus prescalers to provide multiple division ratios. By using the control signals (mc1, mc2, mc3) we can control the multi modulus prescaler to perform various frequency division operations. 1.3 True single phase clock Edge triggered d flip-flop with reset An efficient functional alternative to a D flip-flop can be made with dynamic circuits as long as it is clocked often enough; while not a true flip-flop, it is still called a flip-flop for its functional role. While the master–slave D element is triggered on the edge of a clock, its components are each triggered by clock levels. The "edge-triggered D flip-flop", as it is called even though it is not a true flip-flop, does not have the master– 15
  • 2. Design of An Efficient Low Power Multi Modulus Prescaler slave properties. Edge-triggered D flip-flops are often implemented in integrated high-speed operations using dynamic logic. This means that the digital output is stored on parasitic device capacitance while the device is not transitioning. This design of dynamic flip flops also enables simple resetting since the reset operation can be performed by simply discharging one or more internal nodes. A common dynamic flip-flop variety is the true single-phase clock (TSPC) type which performs the flip-flop operation with little power and at high speeds. However, dynamic flip-flops will typically not work at static or low clock speeds: given enough time, leakage paths may discharge the parasitic capacitance enough to cause the flip-flop to enter invalid states. TSPC dynamic CMOS circuit is operated with one clock signal only to avoid clock skew problems. One reset signal is added with the TSPC circuit. Fig.1. below shows the TSPC flip-flop with reset. This TSPC circuit is used in the 2/3 and 3/4 prescaler. Fig.2. below shows the symbol of TSPC positive edge triggered d flip-flop. This symbol is used in 2/3 prescaler and 3/4 prescaler designs. Fig.1: TSPC Edge triggered d flip-flop Fig.2: TSPC Edge triggered d flip-flop – symbol 1.4 CMOS NOR GATE Nor gate is designed using CMOS transistors to achieve low power consumption. Various design techniques such as NMOS nor, Pseudo NMOS nor has been considered but the power consumption is high even though they have less no transistors, two and three transistors respectively. Fig.2. below shows the cmos nor gate. Fig.3. below shows the nmos nor gate and Fig.4. below shows the pseudo nmos nor gate. Fig.3: CMOS nor gate 16
  • 3. Design of An Efficient Low Power Multi Modulus Prescaler Fig.4: NMOS nor gate Fig.5: Pseudo nmos nor gate II. DUAL MODULUS PRESCALERS 2.1 2/3 prescaler The 2/3 prescaler unit uses two TSPC edge triggered D flip-flop and two CMOS NOR gates as showed in the fig.6. Instead of TSPC D flip-flops, I have proposed a TSPC positive edge triggered D flip-flop. It includes reset signal as well. The output of the first D flip-flop is given to NOR gate as one of the input, and the other input is left for control signal mc. The output of the NOR gate is given to second NOR gate as one input and the other input is connected the input (D) of the first flip-flop. The output of the second NOR is given to second D flip-flop. Clock input (fin) is given to two D flip-flops. We can get the desired output (fout) from the output of the second D flip-flop. Two division operations are performed here, by changing the value of control signal (mc) as „1‟ or „0‟. When mc=‟1‟, the 2/3 prescaler is operated in divide by 2 mode. When mc=‟0‟, the 2/3 prescaler is operated in divide by 3 mode. Fig.8. below shows the symbol of 2/3 prescaler. This symbol is used in the multi modulus prescaler design. Fig.6: 2/3 Prescaler 17
  • 4. Design of An Efficient Low Power Multi Modulus Prescaler Fig.7: 2/3 Prescaler – schematic diagram Fig.8: 2/3 prescaler – symbol 2.2 3/4 Prescaler The 3/4 prescaler unit uses TSPC positive edge triggered D flip-flop and two CMOS NOR gates as showed in the fig.8. Instead of TSPC D flip-flops, I have proposed a TSPC positive edge triggered D flip-flop. It includes reset signal as well. The output of the first D flip-flop is given to first NOR gate as one of the input, and the other input is left for control signal mc. The output of the first NOR gate is given to the second NOR gate as one input and the other input is given by inverted output (Qbar) of first D flip-flop. The output of the second NOR gate is given to second D flip-flop. Clock input (fin) is given to two D flip-flops. We can get the desired output (fout) from the output of second D flip-flop. Two division operations can perform here, by changing the value of control signal (mc) as „1‟ or „0‟. When mc=‟1‟, the 3/4 prescaler is operated in divide by 3 mode. When mc=‟0‟, the 3/4 prescaler is operated in divide by 4 mode. Fig.11. below shows the symbol of 2/3 prescaler. This symbol is used in the multi modulus prescaler design. Fig.9: 3/4 Prescaler Fig.10: 3/4 prescaler – schematic diagram 18
  • 5. Design of An Efficient Low Power Multi Modulus Prescaler Fig.11: 3/4 prescaler – symbol III. MULTI MODULUS PRESCALER Multi modulus prescaler is designed using two dual modulus 2/3, 3/4 prescaler and CMOS NOR gates. Clock input (Fin) is given to 3/4 prescaler, the output of the 3/4 prescaler is given to 2/3 prescaler. The desired output (fout) is get from the 2/3 prescaler. Various control signals mc1, mc2, mc3 are used here to control the multi modulus prescaler to work in the desired divide mode. The block diagram of the multi modulus prescaler shown in fig.12. Fig.12: Multi Modulus Prescaler Fig.13: Multi Modulus Prescaler - schematic diagram Fig.14: Multi Modulus Prescaler - symbol 19
  • 6. Design of An Efficient Low Power Multi Modulus Prescaler 3.1 Simulation results The Tanner EDA simulator is used to obtain the simulated output for Multi Modulus Prescaler. The simulated waveforms are obtained by assigning the inputs at various levels of extraction and the corresponding outputs are obtained from the assigned inputs. The outputs obtained are complementary with respect to the corresponding complementary inputs. We analyze and compare the proposed prescalers. The simulated waveforms of the proposed work are shown here Fig.15: Multi Modulus Prescaler - Divide by 8 mode when mc1=0,mc2=1,mc3=0. Fig.16: Multi Modulus Prescaler - Divide by 7 mode when mc1=0,mc2=1,mc3=1. Fig.17: Multi Modulus Prescaler - Divide by 9 mode when mc1=1,mc2=1,mc3=0. Fig.18: Multi Modulus Prescaler - Divide by 13 mode when mc1=1,mc2=0,mc3=1. 20
  • 7. Design of An Efficient Low Power Multi Modulus Prescaler Table 1. Performance analysis of Multi Modulus Prescalers Multi Modulus Multi Modulus Prescaler - Prescaler - Proposed Conventional Voltage(v) Po Del Po No. Po Del Powe No.of.Tra w ay( wer of.T wer ay( r nsistors er ns) del ran (m ns) delay ( ay sist w) prod m pro ors uct(p w) duc J) t(p J) 1.5 0. 41. 5.2 0.07 15.9 1.131 12 215 34 1 43 72 7 140 2 0. 26. 6.8 0.15 15.7 2.497 25 755 76 9 05 7 21
  • 8. Design of An Efficient Low Power Multi Modulus Prescaler IV. CONCLUSION Multi-modulus prescaler is a critical block in power conscious PLL design. A new design technique for high-speed low-power prescalers is presented. By modifying the, two Dff‟s in to TSPC positive edge triggered D flip-flops, including NOR gates in between two D flip-flops to provide multiple division ratios. This technique is applied to the 2/3 and 3/4 prescalers. With the help of those dual modulus prescalers, multi modulus prescaler has been designed. Comparing with the conventional designs, proposed multi modulus prescaler provides low power consumption and high speed as well. Power, Delay and Power Delay Product (PDP) are reduced. The primary objective of the prescaler is a frequency reduction that is also achieved. The improved speed, the power efficiency, and the flexibility will promote its wide deployment in multi gigahertz range applications. V. FUTURE ENHANCEMENT Further work can be carried out by still optimizing the architecture for power and delay by reducing the number of nodes by implementing Transmission Gates. REFERFNCES [1] Wu-Hsin chen and Byunghoo Jung, (2011) “High–Speed Low–Power True Single–Phase Clock Dual- Modulus Prescaler” IEEE transactions on circuits and systems—ii: express briefs, Vol. 58, No. 3, pp.144 -148. [2] Cao C, (2005), “A power efficient 26-GHz 32:1 static frequency divider in 130-nm bulk cmos,” IEEE Microw. Wireless Compon. Lett., Vol. 15, No. 11, pp. 721–723. [3] De Miranda F.P.H, Navarro Jr S.J, and Van Noije W.A.M, ( 2004), “A 4 GHz dual modulus divider-by 32/33 prescaler in 0.35 um CMOS technology,” in Proc. IEEE 17th Symp. on Circuits and Syst. Design, Vol. 17, pp. 94–99. [4] Huang Q and RogenmoserR,( 1996), “Speed optimization of edge-triggered CMOS circuits for gigahertz single-phase clocks,” IEEE J. Solid-State Circuits, Vol. 31, No. 3, pp. 456–465. [5] Ji-ren J, Karlsson I, and Svensson C, (1989), “A true single-phase-clock dynamic CMOS circuit technique,” IEEE J. Solid-State Circuits, Vol. 24, pp. 62–70. [6] Krishna M, Do M.A, Yeo K.S, C. C. Boon, andW.M. Lim, (2010), “Design and analysis of ultra low power true single phase clock CMOS 2/3 prescaler,” IEEE Trans. Circuits Syst. I, Reg. Papers, Vol. 57, No. 1, pp. 72–82. [7] Pellerano S, Levantino S, Samori C, and Lacaita A, (2004), “A 13.5-Mw 5- GHz frequency synthesizer with dynamic-logic frequency divider,” IEEE J. Solid-State Circuits, Vol. 39, No. 2, pp. 378–383. [8] Razavi B, Lee K, and Yan R.H, (1994), “A 13.4-GHz CMOS frequency divider,” in Proc. 41st IEEE Int. Solid-State Circuits Conf. Dig. Tech. Papers., pp. 176–177. [9] Vaucher C.S, Ferencic I, Locher M, Sedvallson S, Voegeli U, and Wang Z, (1994), “A family of low-power truly programmable dividers in standard 0.35 um CMOS technology,” IEEE J. Solid-state Circuits, Vol. 35, No. 7, pp. 1039–1045. [10] Wohlmuth H.D, and Kehrer D,( 2005),“A 24 GHz dual-modulus prescaler in 90 nm CMOS,” in IEEE Int. Symp. on Circuits and Syst., , Vol. 4, pp. 3227–3230. [11] Yu X.P, Do M.A, Lim W.M, Yeo K.S, and Ma J.G, (2006), “Design and optimization of the extended true single-phase clock-based prescaler,” IEEETrans. Microw. Theory Tech., Vol. 54, No. 11, pp. 3828– 3835. 22