Low Voltage CMOS op-amp with Rail-to-Rail Input/Output Swing.

Similar documents
Design of Low Voltage Low Power CMOS OP-AMPS with Rail-to-Rail Input/Output Swing.

Low Power Op-Amp Based on Weak Inversion with Miller-Cascoded Frequency Compensation

A new class AB folded-cascode operational amplifier

A High-Driving Class-AB Buffer Amplifier with a New Pseudo Source Follower

Class-AB Low-Voltage CMOS Unity-Gain Buffers

A Compact Folded-cascode Operational Amplifier with Class-AB Output Stage

IN RECENT years, low-dropout linear regulators (LDOs) are

Design of Rail-to-Rail Op-Amp in 90nm Technology

Atypical op amp consists of a differential input stage,

Design of High-Speed Op-Amps for Signal Processing

Advanced Operational Amplifiers

Design and Simulation of Low Dropout Regulator

Performance Analysis of Low Power, High Gain Operational Amplifier Using CMOS VLSI Design

CHAPTER 3. Instrumentation Amplifier (IA) Background. 3.1 Introduction. 3.2 Instrumentation Amplifier Architecture and Configurations

Ultra Low Static Power OTA with Slew Rate Enhancement

A Novel Continuous-Time Common-Mode Feedback for Low-Voltage Switched-OPAMP

Rail-To-Rail Output Op-Amp Design with Negative Miller Capacitance Compensation

Class AB Output Stages for Low Voltage CMOS Opamps with Accurate Quiescent Current Control by Means of Dynamic Biasing

Design of a Sample and Hold Circuit using Rail to Rail Low Voltage Compact Operational Amplifier and bootstrap Switching

Operational Amplifier with Two-Stage Gain-Boost

Design and Analysis of Low Power Two Stage CMOS Op- Amp with 50nm Technology

A Compact 2.4V Power-efficient Rail-to-rail Operational Amplifier. Strong inversion operation stops a proposed compact 3V power-efficient

Analysis and Design of Analog Integrated Circuits Lecture 20. Advanced Opamp Topologies (Part II)

A CMOS Low-Voltage, High-Gain Op-Amp

Design of a Capacitor-less Low Dropout Voltage Regulator

Rail to Rail Input Amplifier with constant G M and High Unity Gain Frequency. Arun Ramamurthy, Amit M. Jain, Anuj Gupta

Lecture 300 Low Voltage Op Amps (3/28/10) Page 300-1

PAPER A Large-Swing High-Driving Low-Power Class-AB Buffer Amplifier with Low Variation of Quiescent Current

[Kumar, 2(9): September, 2013] ISSN: Impact Factor: 1.852

Analog CMOS Interface Circuits for UMSI Chip of Environmental Monitoring Microsystem

Chapter 10 Feedback ECE 3120 Microelectronics II Dr. Suketu Naik

Cascode Bulk Driven Operational Amplifier with Improved Gain

ISSN:

Design Analysis and Performance Comparison of Low Power High Gain 2nd Stage Differential Amplifier Along with 1st Stage

ECEN 474/704 Lab 6: Differential Pairs

ECE 415/515 ANALOG INTEGRATED CIRCUIT DESIGN

Design of a low voltage,low drop-out (LDO) voltage cmos regulator

Design of Low Voltage Low Power CMOS OP-AMP

A 0.8V, 7A, rail-to-rail input/output, constant Gm operational amplifier in standard digital 0.18m CMOS

CMOS 0.35 µm Low-Dropout Voltage Regulator using Differentiator Technique

ECEN 474/704 Lab 5: Frequency Response of Inverting Amplifiers

Design of High Gain Two stage Op-Amp using 90nm Technology

DESIGN OF TWO-STAGE CLASS AB CASCODE OP-AMP WITH IMPROVED GAIN

A PSEUDO-CLASS-AB TELESCOPIC-CASCODE OPERATIONAL AMPLIFIER

e t Rail-To-Rail Low Power Buffer Amplifier LCD International Journal on Emerging Technologies 7(1): 18-24(2016)

A New Design Technique of CMOS Current Feed Back Operational Amplifier (CFOA)

Design and implementation of two stage operational amplifier

An Analog Phase-Locked Loop

Rail to rail CMOS complementary input stage with only one active differential pair at a time

G m /I D based Three stage Operational Amplifier Design

Radivoje Đurić, 2015, Analogna Integrisana Kola 1

d. Can you find intrinsic gain more easily by examining the equation for current? Explain.

NOWADAYS, multistage amplifiers are growing in demand

AN increasing number of video and communication applications

Index. Small-Signal Models, 14 saturation current, 3, 5 Transistor Cutoff Frequency, 18 transconductance, 16, 22 transit time, 10

A 16Ω Audio Amplifier with 93.8 mw Peak loadpower and 1.43 quiscent power consumption

An Ultralow-Power Low-Voltage Fully Differential Opamp for Long-Life Autonomous Portable Equipment

Revision History. Contents

Design and Implementation of less quiescent current, less dropout LDO Regulator in 90nm Technology Madhukumar A S #1, M.

Comparative Analysis of Compensation Techniques for improving PSRR of an OPAMP

EE 501 Lab 4 Design of two stage op amp with miller compensation

DESIGN OF A PROGRAMMABLE LOW POWER LOW DROP-OUT REGULATOR

Simran Singh Student, School Of ICT Gautam Buddha University Greater Noida

Design and Simulation of Low Voltage Operational Amplifier

Chapter 12 Opertational Amplifier Circuits

High Performance Buffer Amplifier for Liquid Crystal Display System

Design of Low-Dropout Regulator

Design for MOSIS Education Program

Constant-Gm, Rail-to-Rail Input Stage Operational Amplifier in 0.35μm CMOS

Topology Selection: Input

A High Gain OTA with Slew Rate Enhancement Technique in 45nm FinFET Technology

Design and Performance Analysis of Low Power RF Operational Amplifier using CMOS and BiCMOS Technology

High Voltage Operational Amplifiers in SOI Technology

A Unity Gain Fully-Differential 10bit and 40MSps Sample-And-Hold Amplifier in 0.18μm CMOS

DESIGN OF A NOVEL CURRENT MIRROR BASED DIFFERENTIAL AMPLIFIER DESIGN WITH LATCH NETWORK. Thota Keerthi* 1, Ch. Anil Kumar 2

55:041 Electronic Circuits The University of Iowa Fall Exam 3. Question 1 Unless stated otherwise, each question below is 1 point.

Analog Integrated Circuits Fundamental Building Blocks

LOW VOLTAGE / LOW POWER RAIL-TO-RAIL CMOS OPERATIONAL AMPLIFIER FOR PORTABLE ECG

Solid State Devices & Circuits. 18. Advanced Techniques

International Journal of Emerging Technologies in Computational and Applied Sciences (IJETCAS)

High Voltage and Temperature Auto Zero Op-Amp Cell Features Applications Process Technology Introduction Parameter Unit Rating

ECEN 474/704 Lab 7: Operational Transconductance Amplifiers

LOW-VOLTAGE operation and optimized power-to-performance

POWER-MANAGEMENT circuits are becoming more important

DYNAMIC FLOATING OUTPUT STAGE FOR LOW POWER BUFFER AMPLIFIER FOR LCD APPLICATION

Low-voltage high dynamic range CMOS exponential function generator

Design of Miller Compensated Two-Stage Operational Amplifier for Data Converter Applications

A low voltage rail-to-rail operational amplifier with constant operation and improved process robustness

Microelectronic Circuits II. Ch 10 : Operational-Amplifier Circuits

Chapter 13: Introduction to Switched- Capacitor Circuits

Nonlinear Macromodeling of Amplifiers and Applications to Filter Design.

A 24 V Chopper Offset-Stabilized Operational Amplifier with Symmetrical RC Notch Filters having sub-10 µv offset and over-120db CMRR

ECEN 474/704 Lab 8: Two-Stage Miller Operational Amplifier

An Ultra Low-Voltage and Low-Power OTA Using Bulk-Input Technique and Its Application in Active-RC Filters

EE 501 Lab 10 Output Amplifier Due: December 10th, 2015

Sensors & Transducers Published by IFSA Publishing, S. L.,

Design of High Gain Low Voltage CMOS Comparator

ISSN Page 32. Figure 1.1: Black box representation of the basic current conveyor.

Input Stage Concerns. APPLICATION NOTE 656 Design Trade-Offs for Single-Supply Op Amps

EFFICIENT DRIVER DESIGN FOR AMOLED DISPLAYS

Transcription:

ow oltage CMOS op-amp with Rail-to-Rail Input/Output Swing. S Gopalaiah and A P Shivaprasad Electrical Communication Engineering Department Indian Institute of Science Bangalore-56. svg@ece.iisc.ernet.in aps@ece.iisc.ernet.in Abstract As the supply voltage to a standard CMOS opamp is reduced, the input common mode range and the output swing get reduced drastically. Special biasing circuits have to be used to raise them up to rail-to-rail supply voltage. Three low voltage op-amps with new biasing circuits have been proposed in this paper and their performance evaluated. The op-amp design is focused on dynamic range and high drive capability. DD A ACTIE REGION (FOR N-CH ANNE DIFF. PAIR) FORBIDDEN REGION I. Introduction The importance of mixed mode integrated circuits using low supply voltage is enormously growing in recent past [] [] [3]. The large component density scaling particularly in SI demands lower power consumption in CMOS technology which is a key factor in modern portable equipments. This increases the battery life and also, the packaging density and circuit reliability. The trend has also been towards high precision with reduced supply voltage. The power consumption can be minimized through the reduction in supply voltage. The latest trends suggest that supply voltages can go down to. and may be less even [5], [6]. Hence, the traditional CMOS concepts cannot be used with very low supply circuits unless process technology with low threshold voltage is developed, the design of standard CMOS analogue / mixed circuits with a threshold voltage of less than.7 opens up a great research interest. The fundamental building block of any analogue/mixed signal circuit is the Operational Amplifier (op-amp) [7] [8]. With the reduction of supply voltage, the CM input voltage range of conventional CMOS differential amplifier becomes narrower and lies in the region between SS + T + Dsat (i.e, A and DD ) as shown in Fig. [7], where SS, DD are negative and positive supply voltages respectively, T is the threshold voltage of CMOS device and Dsat is the saturation voltage of the transistor. The decrease in Input Common Mode Range(ICMR) imposes a serious restriction over which the input signal can be applied. If the applied input signal falls in the forbidden region, it will not be amplified properly. It is clear from Fig. that the maximum input signal levels at the input of the differential pair for proper amplification must lie in the region around a DC ( DD+A ), where A is the minimum Fig.. SS Operation zone of low supply CMOS op-amp. permissible CM voltage level of the differential amplifier. It is also clear that an input signal with zero DC falls in the forbidden region and therefore is not suitable for amplification. To extend ICMR in low voltage CMOS op-amp, a voltage multiplier technique has been proposed recently [], but circuit design complex. Here we propose, a simple capacitor switching circuit which moves the input signal from the forbidden region to the active region of the differential amplifier. Also, at the output stage a modified class-ab biasing circuit is proposed to obtain maximum swing by employing source follower and common source gain stage combination. The rest of the paper has been organized as follows, In section II, a Switched Capacitor Circuit(SCC) to increase the Input Common Mode Range (ICMR) to rail-to-rail voltage at the input and a new floating bias circuit at the output of an op-amp to give rail-to-rail swing have been described. In section III, three complete op-amps with a floating bias is discussed. Section I gives performances of the proposed op-amps and conclusions are drawn in section. II. Circuit Description and Operation A. The differential input stage The input differential stage of the low voltage opamp accepts common mode input only over a limited range i.e., from A to DD (Fig. ). But, the requirement is to -7695-8-/4 $. 4 IEEE

spread this CM input range to rail-to-rail voltage, i.e., over the entire range from SS to DD. In order to achieve this, an ICMR enhancer circuit called Switched Capacitor Circuit (SCC) is introduced at the input of op-amp. The transfer characteristic of SCC is shown in Fig. and is described by a straight line equation [9]. out = m in (m ) DD () where m= (DD A) ( DD SS) (slope of the curve) and A=., a minimum CM voltage level of the differential amplifier, SS = -.6 and DD = +.6. The transfer function (Eq. )(Fig. ) of the SCC to be introduced, becomes, Fig.. SS DD out Transfer characteristic of SCC. B. SCC Implementation A out = in 3 + DD 3 DD The SCC has two identical circuits shown in schematic (Fig. 3) which are connected to the inputs of the differential pair of op-amp ( in + and in ). The SCC generates two identical parallel paths (P and Q) to supply signal continuously during complementary clock phase and to the input of the differential pair. The circuit comprises of capacitors C to where C= C and = and switches S- S8. The switches S to are driven by the clock and to S8 by the clock. During, switches S to are closed, the capacitors C and C perform the voltage division operation while and get discharged through and. During, the switches to S8 are closed, the capacitors and share the charges to perform voltage division operation while C and C get discharged through and. Hence, it is clear that SCC attenuates the signal by 3 and introduces a DC component equal to DD. Thus, 3 the proposed circuit implements Eq.(). Thus, SCC accepts the input signal and moves it to the active region of the basic op-amp (Fig.) and realizes the level shifting operation to cover the entire CM range. in () Fig. 3. i + S S7 C S C Schematic of SCC. C. The output stage S8 P Q in + It is well known that, if the supply voltage to a class- AB CMOS amplifier is reduced below the sum of two threshold voltages of NMOS and PMOS, both the transistors go to the cut off state under quiescent condition. This reduces the dynamic range and increases output distortion. In order to overcome this problem and to achieve rail-to-rail output swing, the output stage is driven by two floating biases (Fig. 4) which prevent the output transistors going to cut off state at the quiescent operating condition. It is also clear that, in any low power op-amp circuit design low output impedance is desirable but classical source follower configurations are not allowed in low voltage applications as the dynamic range gets reduced considerably. Most of the class-ab output stages have high output impedance as they employ common source configuration. As a result, the output swing gets reduced. Ideally, the source follower and common source gain stages are combined to achieve low output impedance []. The amplifier describe in this paper, is a combination of source follower and common source gain stage to achieve a class-ab operation with low output impedance, high drive capability while still producing railto-rail output swing. B M N x M 5 M I bias5 I bias3 I bias6 Y M 6 M 7 M 3 M 4 bias5 bias3 I bias4 Fig. 4. Output stage with floating biases. PHD NHD SS DD out The floating bias scheme shown in the Fig. 4 where M and N are used to generate two separate dual in phase DD -7695-8-/4 $. 4 IEEE

signals to drive the output transistors M 3 and M 6. The output stage consists of Positive Half Driver (PHD) capable of sourcing large amount of current and Negative Half Driver (NHD) capable of sinking large amount of current. The transistors M 5 in PHD and M in NHD are connected in a common source configuration allowing output to swing to rail-to-rail supply voltage in a low voltage class- AB output stage. However, the output is also connected to source followers. Both NHD and PHD circuits are closed loop feedback networks. The two feedback loops lower the effective output resistance of the output stage. The NHD and PHD are symmetrical to each other. Fig. 5. S C S C B M9 bias3 bias4 M M M4 M3 M M M5 M3 bias5 bias6 Class-AB output stage with NHD, PHD implementation. In the circuit design, I bias3 is designated to be greater than I bias4. The current difference I bias3 -I bias4 flows through the transistors M 3 and M. Unlike most class-ab output stages, the gate of M is controlled indirectly through the feedback loop comprising of M 3 and M 4. The operation of the feedback loop is explained below. If we consider a fast transient decrease in voltage at B, the decrease results in steering of I bias3 into M 4 thereby increasing the voltage at the gate of M which in turn cause M to sink additional current. Subsequently out is lowered until the gate source voltage of M 3 reaches steady state. The overall result, with respect to the forward gain is that the driver circuit behaves like a source follower configuration, but the basic difference of this scheme is that the output impedance is much lower than that of a classical source follower. The outputs of PHD and NHD are connected together to form the op-amp output. The practical implementation of this circuit is shown in Fig. 5. The floating biases M and N are implemented by using switched capacitor technique. III. M6 M4 M5 M8 M7 The op-amp Schemes The complete op-amps are shown in Figs. 6-8 and consists of three main stages viz., input, intermediate and the output stages. The input stage is a folded mirror type differential amplifier with an SCC whereas the output stages DD SS R OUT C are class-ab and class-a types with floating bias architectures. As the output nodes of the input and intermediate stage are high impedance nodes, they introduce two low frequency poles. The load resistance R at the output node introduces a high frequency pole which is well beyond the unity-gain-bandwidth(ugb) of the op-amp. The R-C Miller compensation R C and C C is used to provide frequency stability to the op-amp. As the poles and zeros of SCC are well beyond the unity-gain-bandwidth (UGB) of the opamps, it does not introduce any additional poles and zeros within the UGB of the op-amp. The bandwidth of the opamp is determined by the pole of the input differential stage which is the dominant pole of the op-amp. The scheme I (Fig. 6), consists of three stages, input, intermediate and output stage. Two common source transistors M6, M7 are used to provide rail-to-rail output swing. The circuit shows four low frequency poles at the output of each gain stages. Three capacitors are connected to achieve a single low frequency pole at the output of the input stage and to move the other poles to frequencies higher than the UGB. R c R c and R c3 transform right half plane zeros into high frequency left half plane zeros. The scheme II, has a back to back source follower configuration operating in class-a mode two floating biases are implemented by using Switched Capacitor (SC) network. Two output transistors M, M3 are connected in source follower configuration (Class-A). The limitation of this scheme is that it needs slightly more supply voltage compared with the previous scheme. The SC network composed of capacitors C to (C=C and =) and MOS switches S to are used for performing dynamic biasing[3]. The switches are controlled by complementaryclockphase and. During the switches S,, are ON, C and get charged. During clock phase switches S,, are ON resulting in charge sharing between C, C and,. In scheme III, the complete three stage op-amp with block diagram of NHD and PHD output stages is shown in Fig. 8. The transistors M to M constitute the differential stage and intermediate stage. The SC network is used to properly bias the output drivers. x and y are the inputs to NHD and PHD respectively which form the output stage of op-amp. This output stage has an extremely low output resistance. Therefore the frequency of the pole formed by parasitic impedance at the output node is much higher than GBW of the op-amp. There are only two low frequency poles. A capacitor C c is connected between the output of the differential stage and output of the intermediate stage to achieve a single low frequency pole at the output of the input stage and to move the other pole to a frequency higher than the UGB. The resistor R c is connected to transform right half plane zero into high frequency left half plane zero. The op-amps thus designed have low output impedance, high drive capability and rail-to-rail output swing. This has been -7695-8-/4 $. 4 IEEE

achieved with a small increase in supply voltage and layout area. This scheme has both source follower and common source configuration combined in the same circuit operating in a true class-ab mode to achieve low output resistance as well as rail-to-rail swing. I bias M9 M4 M5 M S DD I bias bias R C C C S C C y PHD DD M M B OUT I Bias M9 M4 M5 M M3 M5 M7 IN- IN+ A M I Bias Rc Cc Cc out M8 bias M3 M6 M7 x NHD R C in- M M in+ M Rc M6 R C M8 M3 M6 M7 M Rc3 M4 Cc3 Fig. 8. Operational amplifier: Scheme 3 SS SS BIASING STAGE INPUT DIFF. STAGE INTERMEDIATE STAGE OUTPUT STAGE Fig. 6. Operational amplifier:scheme DD M9 I bias bias M4 M5 Rc Cc M S S C C M3 out Ibias in- M M in+ M M C M8 bias M3 M6 M7 R SS Rc Cc Fig. 9. DC transfer characteristic of SCC. Fig. 7. Operational amplifier: Scheme I. Simulation study Simulation study has been carried out by using SPICE with BSIM3v3 transistor model. A standard.5m CMOS process with a nominal threshold voltage of around.7 for both N and P channel transistors is considered. The supply voltages are set to.6 and.75 as indicated. The Table I gives the simulated performances. The clock is set to a frequency of khz [4]. The DC transfer characteristic of SCC obtained (Fig. 9), shows that the input CM range of.6 is converted at the output to a range of m ( A ) to 6 m (DD) as designed. The transfer curve for the complete op-amps under unit follower configuration is shown in Fig.. From the figures, it may be noted that addition of SCC at the input of the differential stage extends the input CM range to.6. Gain (db).6.4...4.6 Fig...8.8.6.4...4.6.8 DC transfer characteristics of op-amps under unity follower. -7695-8-/4 $. 4 IEEE

TABE I MEASURED MAIN PERFORMANCES (At R =k, C =pf) Parameters Sch. Sch. Sch.3 A ol 8 db 7 db 7 db GBW.MHz.67MHz.67MHz Phase margin 8.5 deg 8 deg 74 deg CMRR 85.6dB 88dB 88dB THD -76 db -75 db -74 db Supply voltage.6.75.75 Output swing.54.6.49 Power dissi. 57. w 96.8 w 86 w Gain (db) 8 6 4 3 4 5 6 7 Fig.. Frequency response of scheme II with SCC. 8 8 6 6 Gain (db) 4 Gain (db) 4 3 4 5 6 7 Fig.. Frequency response of scheme I with SCC. 3 4 5 6 7 Fig. 3. Frequency response of scheme III with SCC. Figs. -3 shows the frequency response of the complete op-amps. The frequency responses of the op-amps also shows that there is only one dominant pole within the GBW (Gain Band Width) and this ensures that the circuits are stable [4].. Conclusion In this paper, a SCC, and a new floating bias for extending input CM voltage range and the output swing to railto-rail supply respectively are described. A detailed study on the working of op-amp with the proposed input/output circuit is carried out using CMOS devices with a dual supply of.6 and.75. The introduction of SCC and floating bias at the output enhances the ICMR and output swing respectively. This requires an additional chip area but the circuit is stable and suitable for achieving large output swing. Further, the distortion, output swing and CMMR are evaluated and found to be in close agreement with other op-amps reported in the literature. REFERENCES [] S. Karthikeyan, Siamak Mortezapour, Anilkumar Tamminudi, Edward K. F. ee, ow-oltage Analog Circuit Design Based on Biased Inverting Opamp Configuration, IEEE Trans. on Circuits and Systems-II, ol. 47, No. 3, pp. 76-84, March. [] S. Sukurai and M. Ismail, Robust design of rail-to-rail CMOS operational Amplifiers for a low power supply voltage, IEEE JSSC. ol. 3, pp.46-56, Feb. 996. [3] Johan H Huijsing, Ron Hogervorst and Klass-Jan de angen, ow power low voltage SI operational amplifier cells, IEEE J. Solid- State Circuits, ol. 4 No., pp 4-7, Dec. 995 [4] G. Palmisano, G. Palumbo, Clock Booster for. SC Circuits, Proc.IEEE ISCAS, Hong Kong, pp. -5, June 997. [5] B. Blalock, P. Allen and G. Rincon-Mora, op-amps using standard digital CMOS Technology, IEEE Trans. Circuit Syst. II, ol. 45, pp. 769-78, July 998. [6] R. Griffith, R. Wyne, R. Dotson, and T. Petty, A - BiCMOS railto-rail amplifier with n-channel depletion mode input stage, IEEE J. Solid-State Circuits, ol.3, pp. -, Dec. 997. [7] J. Francisco Duque-Carrillo, Jose. Ausin, Guido Torelli, Jose M. alverde, and Miguel A. Dominguez, - Rail-to-Rail Operational Amplifiers in Standard CMOS Technology, IEEE J of Solid State Circuits, ol. 35, No., pp. 33-43, Jan.. [8] J. Ramirez-Angulo, R. G.Carvajal, J. Tombs, and A. Torralba, owvoltage CMOS Op-Amp with Rail-to-Rail Input and Output Signal swing for Continuous-Time Signal Processing using Multiple-Input floating-gate Transistors, IEEE Tran. on Circuits and Systems-II, Analog and Digital Signal processing, ol. 48, No., pp -6, Jan.. -7695-8-/4 $. 4 IEEE

[9] S Gopalaiah, A P Shivaprasad and Sukanta Kishore Panigrahi, Design of ow-oltage ow Power CMOS Op-Amps with Railto-Rail Input/output swing, Accepted for publication in IEEE Intl. Conf. on SI design, Mumbai, Jan.4. [] T A F Duisters and E C Dijkmans, A-9dB THD rail-to-rail input opamp using a new local charge pump in CMOS, IEEE J of Solid State Circuits, ol. 33, pp 947-955, July, 998. [] Joseph N. Babanezhad, A low-output-impedance Fully Differential Op Amp with arge Output Swing and Continuous-Time Common- Mode Feedback, IEEE J of Solid State Circuits, ol. 6, No., pp. 85-833, Dec. 99. [] A. Torralba R. G. Carvajal, J. Mertinez-Heradia, and J. Ramirez- Angulo, Class AB Output stage for low voltage CMOS op-amps with accurate quiescent current control, Electronics etters, ol. 36, No., pp. 753-754, Oct.. [3] B. J. Hosticka, Dynamic CMOS amplifiers, IEEE J. Solid-State Circuits, ol. SC-5, No. 9, pp. 887-894, Oct. 98. [4] Roubik Gregorian and Gabor C. Temes, Analog MOS Integrated Circuits for Signal Processing. John Wiley and Sons, New York. 986. Chap. 4. -7695-8-/4 $. 4 IEEE