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Preview CMOS analog integrated circuits : high-speed and power-efficient design

ElEctrical EnginEEring Ndjountche CMOS AnAlOg CMOS Analog I IntegrAted Integrated Circuits n HigH-Speed and power-efficient deSign t CIrCuItS e High-speed and power-efficient analog integrated circuits can be used as standalone C devices or to interface modern digital signal processors and micro-controllers in various g applications, including multimedia, communication, instrumentation, and control M systems. New circuit architectures and the ever-decreasing size of complementary metal r oxide semiconductor (CMOS) transistors have accelerated the trend toward system- HigH-Speed and power-efficient deSign on-a-chip design, which merges analog circuits with digital components onto a single O A chip. CMOS Analog Integrated Circuits: High-Speed and Power-Efficient Design describes the important aspects in designing these analog circuits and provides a S t comprehensive and in-depth examination of design techniques and circuit architectures, φ φ 2 C 2 emphasizing practical aspects of integrated circuit implementations. e A φ φ Focusing on designing and verifying analog integrated circuits, the author reviews φ C 1 C 1 d + − 2 1 design techniques for important components such as amplifiers, comparators, and Vy1 Vy1 n multipliers. The book details all aspects, from specifications to the final chip, of the φ development and implementation process of continuous-time and switched-capacitor V+ V1+ 1 C 1 −+ V+ x1 0 C φ filters, analog-to-digital converters (ADCs), digital-to-analog converters (DACs), A 1 C 1 phase-locked loops (PLLs), and delay-locked loops (DLLs). It addresses performance Vx−1 − +− V0− V φ limitation issues affecting the operation of an analog circuit at the architecture and I l 1 2 C 1 φ1 C φ1 transistor levels, along with conceptual and practical solutions to problems that can r arise in the design process. O φ φ φ C Vy+N Vy−N 2 C N 2 C 2 This comprehensive and illustrative book provides balanced coverage of theoretical and φ practical issues that will allow the reader to design CMOS analog integrated circuits g + VN+ 1 C N u VxN with improved electrical performance. The chapters contain easy-to-follow mathematical φ 1 C N derivations of all equations and formulas, graphical plots, and open-ended design − V problems to help determine the most suitable circuit architecture for a given set of It xN VN− φ2 C N performance specifications. This practical text can serve as a valuable resource for analog circuit designers and electrical engineering students with background knowledge S in basic microelectronics. Tertulien Ndjountche K12557 6000 Broken Sound Parkway, NW Suite 300, Boca Raton, FL 33487 711 Third Avenue an informa business New York, NY 10017 www.crcpress.com 2 Park Square, Milton Park Abingdon, Oxon OX14 4RN, UK www.crcpress.com K12557_Cover_mech.indd 1 4/12/11 10:27 AM CMOS AnAlOg IntegrAted CIrCuItS HigH-Speed and power-efficient deSign K12557.indd 1 4/19/11 10:03:24 AM TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk CMOS AnAlOg IntegrAted CIrCuItS HigH -Speed and p ower-e fficient deS ign Tertulien Ndjountche Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business K12557.indd 3 4/19/11 10:03:24 AM MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MATLAB® software or related products does not consti- tute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2011 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20111012 International Standard Book Number-13: 978-1-4398-5500-3 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material repro- duced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www.copy- right.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identifica- tion and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface xv Content overview . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xx Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . xx List of Figures xxiii List of Tables li 1 Mixed-Signal Integrated Systems: Limitations and Challenges 1 1.1 Integrated circuit design flow . . . . . . . . . . . . . . . . . . 2 1.2 Design technique issues . . . . . . . . . . . . . . . . . . . . . 6 1.3 Integrated system perspectives . . . . . . . . . . . . . . . . . 7 1.4 Built-in self-test structures . . . . . . . . . . . . . . . . . . . 8 1.5 Concluding remarks . . . . . . . . . . . . . . . . . . . . . . . 9 1.6 To probe further . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 MOS Transistors 11 2.1 Transistor structure . . . . . . . . . . . . . . . . . . . . . . . 12 2.1.1 I/V characteristics of MOS transistors . . . . . . . . . 13 2.1.2 Drain current in the strong inversion approximation . 14 2.1.3 Drain current in the subthreshold region . . . . . . . . 17 2.1.4 MOS transistor capacitances . . . . . . . . . . . . . . 20 2.1.5 Scaling effects on MOS transistors . . . . . . . . . . . 21 2.2 Transistor SPICE models . . . . . . . . . . . . . . . . . . . . 23 2.2.1 Electrical characteristics . . . . . . . . . . . . . . . . . 23 2.2.2 Temperature effects . . . . . . . . . . . . . . . . . . . 27 2.2.3 Noise models . . . . . . . . . . . . . . . . . . . . . . . 28 2.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 32 Bibliography 37 v vi 3 Physical Design of MOS Integrated Circuits 39 3.1 MOS Transistors . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.2 Passive components . . . . . . . . . . . . . . . . . . . . . . . 41 3.2.1 Capacitors . . . . . . . . . . . . . . . . . . . . . . . . 42 3.2.2 Resistors . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.2.3 Inductors . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.3 Integrated-circuit (IC) interconnects . . . . . . . . . . . . . . 46 3.4 Physical design considerations . . . . . . . . . . . . . . . . . 48 3.5 IC packaging . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.7 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 53 Bibliography 57 4 Bias and Current Reference Circuits 59 4.1 Current mirrors . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.1.1 Simple current mirror . . . . . . . . . . . . . . . . . . 60 4.1.2 Cascode current mirror . . . . . . . . . . . . . . . . . 62 4.1.3 Low-voltage active current mirror. . . . . . . . . . . . 75 4.2 Current and voltage references . . . . . . . . . . . . . . . . . 76 4.2.1 Supply-voltage independent current reference . . . . . 78 4.2.2 Bandgap references . . . . . . . . . . . . . . . . . . . . 79 4.2.2.1 Low-voltage bandgap voltage reference . . . 82 4.2.2.2 Curvature-compensated bandgap voltage reference . . . . . . . . . . . . . . . . . . . . 83 4.2.3 Floating-gate voltage reference . . . . . . . . . . . . . 86 4.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.4 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 87 Bibliography 93 5 CMOS Amplifiers 95 5.1 Differential amplifier . . . . . . . . . . . . . . . . . . . . . . . 96 5.1.1 Dynamic range . . . . . . . . . . . . . . . . . . . . . . 97 5.1.2 Source-coupled differential transistor pair . . . . . . . 99 5.1.3 Current mirror . . . . . . . . . . . . . . . . . . . . . . 101 5.1.4 Slew-rate limitation . . . . . . . . . . . . . . . . . . . 102 5.1.5 Small-signal characteristics . . . . . . . . . . . . . . . 103 5.1.6 Offset voltage . . . . . . . . . . . . . . . . . . . . . . . 108 5.1.7 Noise in a differential transistor pair . . . . . . . . . . 110 5.1.8 Operational amplifier . . . . . . . . . . . . . . . . . . 111 5.2 Linearization techniques for transconductors . . . . . . . . . 114 5.3 Single-stage amplifier . . . . . . . . . . . . . . . . . . . . . . 129 5.4 Folded-cascode amplifier . . . . . . . . . . . . . . . . . . . . 130 5.5 Fully differential amplifier architectures . . . . . . . . . . . . 135 5.5.1 Fully differential folded-cascode amplifier . . . . . . . 135 vii 5.5.1.1 Basic structure . . . . . . . . . . . . . . . . . 135 5.5.1.2 Gain-enhanced structure . . . . . . . . . . . 138 5.5.2 Telescopic amplifier . . . . . . . . . . . . . . . . . . . 143 5.5.3 Common-mode feedback circuits . . . . . . . . . . . . 146 5.5.3.1 Continuous-time common-mode feedback circuit . . . . . . . . . . . . . . . . . . . . . . 146 5.5.3.2 Switched-capacitor common-mode feedback circuit . . . . . . . . . . . . . . . . . . . . . . 150 5.5.4 Pseudo fully differential amplifier . . . . . . . . . . . . 154 5.6 Multi-stage amplifier structures . . . . . . . . . . . . . . . . 156 5.6.1 Output stage . . . . . . . . . . . . . . . . . . . . . . . 157 5.6.2 Two-stage amplifier . . . . . . . . . . . . . . . . . . . 167 5.6.3 Optimization of a two-pole amplifier for fast settling response . . . . . . . . . . . . . . . . . . . . . . . . . . 174 5.6.4 Three-stage amplifier. . . . . . . . . . . . . . . . . . . 177 5.7 Rail-to-rail amplifiers . . . . . . . . . . . . . . . . . . . . . . 186 5.7.1 Amplifier with a class AB input stage . . . . . . . . . 187 5.7.2 Two-stage amplifier with class AB output stage . . . . 189 5.7.3 Amplifier with rail-to-rail input and output stages . . 190 5.8 Amplifier characterization . . . . . . . . . . . . . . . . . . . . 194 5.8.1 Finite gain and bandwidth . . . . . . . . . . . . . . . 194 5.8.2 Phase margin . . . . . . . . . . . . . . . . . . . . . . . 195 5.8.3 Input and output impedances . . . . . . . . . . . . . . 195 5.8.4 Power supply rejection . . . . . . . . . . . . . . . . . . 195 5.8.5 Slew rate . . . . . . . . . . . . . . . . . . . . . . . . . 195 5.8.6 Low-frequency noise and dc offset voltage . . . . . . . 196 5.8.6.1 Auto-zero compensation scheme . . . . . . . 198 5.8.6.2 Chopper technique . . . . . . . . . . . . . . . 201 5.9 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 5.10 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 204 Bibliography 219 6 Nonlinear Analog Components 225 6.1 Comparators . . . . . . . . . . . . . . . . . . . . . . . . . . . 226 6.1.1 Amplifier-based comparator . . . . . . . . . . . . . . . 226 6.1.2 Comparator using charge balancing techniques . . . . 233 6.1.3 Latched comparators . . . . . . . . . . . . . . . . . . . 234 6.1.3.1 Static comparator . . . . . . . . . . . . . . . 235 6.1.3.2 Dynamic comparator . . . . . . . . . . . . . 239 6.2 Multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 242 6.2.1 Multiplier cores . . . . . . . . . . . . . . . . . . . . . . 244 6.2.1.1 Multiplier core based on externally controlled transconductances . . . . . . . . . . . . . . . 244 viii 6.2.1.2 Multipliercorebasedonthequarter-square technique . . . . . . . . . . . . . . . . . . . . 249 6.2.1.3 Design issues . . . . . . . . . . . . . . . . . . 255 6.2.2 Design examples . . . . . . . . . . . . . . . . . . . . . 256 6.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259 6.4 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 259 Bibliography 265 7 Continuous-Time Circuits 269 7.1 Wireless communication system . . . . . . . . . . . . . . . . 270 7.1.1 Receiver and transmitter architectures . . . . . . . . . 272 7.1.2 Frequency translation and quadrature multiplexing . . 275 7.1.3 Architecture of a harmonic-rejection transceiver. . . . 281 7.1.4 Amplifiers . . . . . . . . . . . . . . . . . . . . . . . . . 282 7.1.4.1 Power amplifier . . . . . . . . . . . . . . . . 283 7.1.4.2 Low-noise amplifier . . . . . . . . . . . . . . 292 7.1.5 Mixer . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 7.1.6 Voltage-controlled oscillator . . . . . . . . . . . . . . . 306 7.1.7 Automatic gain control . . . . . . . . . . . . . . . . . 321 7.2 Continuous-time filters . . . . . . . . . . . . . . . . . . . . . 324 7.2.1 RC circuits . . . . . . . . . . . . . . . . . . . . . . . . 326 7.2.2 MOSFET-C circuits . . . . . . . . . . . . . . . . . . . 327 7.2.3 g -C circuits . . . . . . . . . . . . . . . . . . . . . . . 330 m 7.2.4 g -C operational amplifier (OA) circuits . . . . . . . . 331 m 7.2.5 Summer circuits . . . . . . . . . . . . . . . . . . . . . 335 7.2.6 Gyrator . . . . . . . . . . . . . . . . . . . . . . . . . . 336 7.3 Filter characterization . . . . . . . . . . . . . . . . . . . . . . 337 7.4 Filter design methods . . . . . . . . . . . . . . . . . . . . . . 338 7.4.1 First-order filter design . . . . . . . . . . . . . . . . . 340 7.4.2 Biquadratic filter design methods . . . . . . . . . . . . 342 7.4.2.1 Signal-flow graph-based design . . . . . . . . 342 7.4.2.2 Gyrator-based design . . . . . . . . . . . . . 346 7.4.3 Ladder filter design methods . . . . . . . . . . . . . . 349 7.4.3.1 LC ladder network-based design . . . . . . . 349 7.4.3.2 Signal-flow graph-based design . . . . . . . . 352 7.5 Design considerations for continuous-time filters . . . . . . . 356 7.5.1 Automatic on-chip tuning of continuous-time filters. . 356 7.5.2 Nonideal integrator . . . . . . . . . . . . . . . . . . . . 358 7.6 Frequency-control systems . . . . . . . . . . . . . . . . . . . 359 7.6.1 Phase-locked-loop-based technique . . . . . . . . . . . 359 7.6.1.1 Operation principle . . . . . . . . . . . . . . 359 7.6.1.2 Architecture of the master: VCO or VCF . . 360 7.6.1.3 Phase detector . . . . . . . . . . . . . . . . . 361 7.6.1.4 Implementation issues . . . . . . . . . . . . . 362 ix 7.6.2 Charge comparison-based technique . . . . . . . . . . 363 7.7 Quality-factor and bandwidth control systems . . . . . . . . 365 7.7.1 Magnitude-locked-loop-based technique . . . . . . . . 365 7.7.2 Envelope detection-based technique . . . . . . . . . . 366 7.8 Practical design considerations . . . . . . . . . . . . . . . . . 369 7.9 Other tuning strategies . . . . . . . . . . . . . . . . . . . . . 372 7.9.1 Tuning scheme using an external resistor . . . . . . . 372 7.9.2 Self-tuned filter . . . . . . . . . . . . . . . . . . . . . . 373 7.9.3 Tuning scheme based on adaptive filter technique . . . 375 7.10 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378 7.11 Circuit design assessment . . . . . . . . . . . . . . . . . . . . 378 Bibliography 395 8 Switched-Capacitor Circuits 403 8.1 Anti-aliasing filter . . . . . . . . . . . . . . . . . . . . . . . . 404 8.2 Capacitors . . . . . . . . . . . . . . . . . . . . . . . . . . . . 406 8.3 Switches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407 8.3.1 Switch description . . . . . . . . . . . . . . . . . . . . 407 8.3.2 Switch error sources . . . . . . . . . . . . . . . . . . . 409 8.3.3 Switch compensation techniques . . . . . . . . . . . . 413 8.4 Programmable capacitor arrays . . . . . . . . . . . . . . . . 414 8.5 Operational amplifiers . . . . . . . . . . . . . . . . . . . . . . 416 8.6 Track-and-hold (T/H) and sample-and-hold (S/H) circuits . 417 8.7 Switched-capacitor (SC) circuit principle . . . . . . . . . . . 425 8.8 SC filter design . . . . . . . . . . . . . . . . . . . . . . . . . . 430 8.8.1 First-order filter . . . . . . . . . . . . . . . . . . . . . 432 8.8.2 Biquad filter . . . . . . . . . . . . . . . . . . . . . . . 433 8.8.3 Ladder filter . . . . . . . . . . . . . . . . . . . . . . . 441 8.9 SC ladder filter based on the LDI transform . . . . . . . . . 441 8.10 SC ladder filter based on the bilinear transform . . . . . . . 449 8.10.1 RLC filter prototype-based design . . . . . . . . . . . 449 8.10.2 Transfer function-based design of allpass filters . . . . 456 8.11 Effects of the amplifier finite gain and bandwidth . . . . . . 459 8.11.1 Amplifier dc gain . . . . . . . . . . . . . . . . . . . . . 461 8.11.2 Amplifier finite bandwidth. . . . . . . . . . . . . . . . 463 8.11.2.1 Inverting integrator . . . . . . . . . . . . . . 463 8.11.2.2 Noninverting integrator . . . . . . . . . . . . 465 8.12 Settling time in the integrator . . . . . . . . . . . . . . . . . 466 8.13 Amplifier dc offset voltage limitations . . . . . . . . . . . . . 469 8.14 Computer-aided analysis of SC circuits . . . . . . . . . . . . 469 8.15 T/H and S/H circuits based on SC circuit principle . . . . . 473 8.16 Circuit structures with low sensitivity to nonidealities . . . . 478 8.16.1 Integrators . . . . . . . . . . . . . . . . . . . . . . . . 479 8.16.2 Gain stages . . . . . . . . . . . . . . . . . . . . . . . . 485

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High-speed, power-efficient analog integrated circuits can be used as standalone devices or to interface modern digital signal processors and micro-controllers in various applications, including multimedia, communication, instrumentation, and control systems. New architectures and low device geometr
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