POWER TRADE-OFFS AND LOW-POWER IN ANALOG CMOS ICs THE KLUWER INTERNATIONAL SERIES IN ENGINEERING AND COMPUTER SCIENCE ANALOG CIRCUITS AND SIGNAL PROCESSING Consulting Editor: Mohammed Ismail. Ohio State University Related Titles: POWER TRADE-OFFS AND LOW POWER IN ANALOG CMOS ICS M. Sanduleanu, van Tuijl ISBN: 0-7923-7643-9 RF CMOS POWER AMPLIFIERS: THEORY, DESIGN AND IMPLEMENTATION M.Hella, M.Ismail ISBN: 0-7923-7628-5 WIRELESS BUILDING BLOCKS J.Janssens, M. Steyaert ISBN: 0-7923-7637-4 CODING APPROACHES TO FAULT TOLERANCE IN COMBINATION AND DYNAMIC SYSTEMS C. Hadjicostis ISBN: 0-7923-7624-2 DATA CONVERTERS FOR WIRELESS STANDARDS C. Shi, M. Ismail ISBN: 0-7923-7623-4 STREAM PROCESSOR ARCHITECTURE S. Rixner ISBN: 0-7923-7545-9 LOGIC SYNTHESIS AND VERIFICATION S. Hassoun, T. Sasao ISBN: 0-7923-7606-4 VERILOG-2001-A GUIDE TO THE NEW FEATURES OF THE VERILOG HARDWARE DESCRIPTION LANGUAGE S. Sutherland ISBN: 0-7923-7568-8 IMAGE COMPRESSION FUNDAMENTALS, STANDARDS AND PRACTICE D. Taubman, M. Marcellin ISBN: 0-7923-7519-X ERROR CODING FOR ENGINEERS A.Houghton ISBN: 0-7923-7522-X MODELING AND SIMULATION ENVIRONMENT FOR SATELLITE AND TERRESTRIAL COMMUNICATION NETWORKS A.Ince ISBN: 0-7923-7547-5 MULT-FRAME MOTION-COMPENSATED PREDICTION FOR VIDEO TRANSMISSION T. Wiegand, B. Girod ISBN: 0-7923-7497- 5 SUPER - RESOLUTION IMAGING S. Chaudhuri ISBN: 0-7923-7471-1 AUTOMATICCALIBRATION OF MODULATED FREQUENCY SYNTHESIZERS D. McMahill ISBN: 0-7923-7589-0 MODEL ENGINEERING IN MIXED-SIGNAL CIRCUIT DESIGN S. Huss ISBN: 0-7923-7598-X CONTINUOUS-TIME SIGMA-DELTA MODULATION FOR A/D CONVERSION IN RADIO RECEIVERS L. Breems, J.H. Huijsing ISBN: 0-7923-7492-4 POWER TRADE-OFFS AND LOW-POWER IN ANALOG CMOS ICs by Mihai A.T. Sanduleanu Philips Research, Eindhoven, The Netherlands and Ed A.J.M. van Tuijl Philips Research, Eindhoven, The Netherlands KLUWER ACADEMIC PUBLISHERS NEW YORK,BOSTON, DORDRECHT, LONDON, MOSCOW eBookISBN: 0-306-48140-5 Print ISBN: 0-7923-7642-0 ©2003 Kluwer Academic Publishers NewYork, Boston, Dordrecht, London, Moscow Print ©2002 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook maybe reproducedor transmitted inanyform or byanymeans,electronic mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://kluweronline.com and Kluwer's eBookstore at: http://ebooks.kluweronline.com v Contents List of figures ix List of tables xiii Selected Symbols and Abbreviations xv Foreword xvii Acknowledgements xix 1.Introduction 1 1.1Motivation 1 1.2Problem definition 2 1.3Scope and outline 3 References 8 2.Power considerations in sub-micron digital CMOS 9 2.1Introduction 9 2.2Fundamental limits 10 2.3From fundamental limits to practical limits of power. An architecture level approach 12 2.4S/N ratio and power in fixed point applications 18 2.5Adders and computational power 19 2.6Ways to low-power in digital 23 2.7Example of a digital video filter 25 2.8Conclusions 28 References 29 3.Power considerations in sub-micron analog CMOS 31 3.1Introduction 31 3.2Process tuning towards digital needs. Consequences on analog 32 vi 3.3Fundamental limits 36 3.4From fundamental limits to practical limits of power. Noise related power 38 3.5From fundamental limits to practical limits of power. Mismatch related power 56 3.6Power estimations in continuous time filters 60 3.7 Conclusions 66 References 67 4.Gm-C integrators for low-power and low voltage applications. A gaussian polyphase filter for mobile transceivers in 0.35 CMOS 69 4.1Introduction 69 4.2Large swing and high linearity transconductor 69 4.3Low voltage current Gm-C integrator with high power efficiency 78 4.4Low-power luminance video filter. Noise driven power 83 4.5Low-power, gaussian, polyphase filter for mobile transceivers. Matching driven power 87 4.6 Conclusions 97 References 99 5.Chopping: a technique for noise and offset reduction 101 5.1Introduction 101 5.2Ways to reduce offset and 1/f noise 102 5.3Chopping seen as a modulation technique 105 5.4Noise modulation 106 5.5 Chopped amplifiers and offset reduction 108 5.6Low-power low-voltage chopped transconductance amplifier for noise and offset reduction. Chopping at high frequency 109 5.7 A low-power bandgap voltage reference 119 vii 5.8 Conclusions 124 References 125 6.Low-noise, low residual offset, chopped amplifiers for high-end applications 127 6.1Introduction 127 6.2Low-pass filtering in a digital audio system. Application specific constraints 128 6.3The gain stage 130 6.4A low noise, low residual offset, chopped amplifier in 0.8mm CMOS 132 6.5A low noise, low residual offset, chopped amplifier in 0.5mm CMOS 142 6.6 Conclusions 150 References 152 7.A 16-bit D/A interface with Sinc approximated semidigital reconstruction filter 153 7.1Introduction 153 7.2Bitstream D/A conversion system with time-discrete filtering 154 7.3S-D modulators and noise shaping 155 7.4. Semidigital FIR filter principles 158 7.5.Semidigital FIR filter design 160 7.6Noise properties of the D/A interface 168 7.7 Realisation 176 7.8Experimental results 180 7.9Interpolative D/A converter with Sinc approximation in the time domain 181 7.10.Conclusions 184 References 186 viii 8. Conclusions 187 8.1Summary 187 8.2 Conclusions 189 8.3Original contributions 192 8.4Recommendations for further research 193 APPENDIX 1 195 APPENDIX 2 199 APPENDIX 3 203 INDEX 207 ix List of Figures 2.1: The levels of abstraction for powerconsiderations 9 2.2: Thermodynamic limit 11 2.3: Fundamental limits of power in digital 12 2.4: Energy as a function of S/N for a generic DSP 15 2.5: FIR digital filter 15 2.6: IIR digital filter (direct form 1) 16 2.7: IIR digital filter (direct form 2) 17 2.8: Circuit diagram of a full adder FA 19 2.9: RCA m bits adder 20 2.10: Cascade RCA for adding m words of B bits 21 2.11: Chain (a) vs. tree (b) implementation of adders 22 2.12: The delay of a simple inverter 25 2.13: The LP prototype after scaling 26 2.14: Multiplication by hardwiring 26 2.15: Example of a FIR digital video filter 27 3.1: Output resistance and the drain current in processes 33 3.2: Matching in for processes 34 3.3: Analog processor 36 3.4: Fundamental power limits as a function of S/N 37 3.5: Power spectral densities of the thermal noise 38 3.6: Voltage amplifier with feedback 41 3.7: Voltage amplifier with differential stage and feedback 43 3.8: OTA with active load 44 3.9: Feedback amplifier with OTA 45 3.10: Current amplifier 46 3.11: Frequency transfer of the current amplifier 47 3.12: Charge summing amplifier with S/H 49 3.13: Switched capacitor amplifier 50 3.14: Circuit for settling time computation 52 3.15: SI memory cell 53 3.16: SI non-inverting amplifier (damped integrator) 54 3.17: State space representation of a filter 60 3.18: Transconductors with degeneration resistors 63 4.1: Gm core diagram 70 4.2: Gm fine tuning 72 4.3: Gm coarse tuning for different aspect ratios of MN12(13) 72 4.4: THD for Gm_TUNE=0 73 4.5: THD for Gm_TUNE=3V 74 4.6: Frequency response of the integrator 75 4.7: The noise excess factor of the transconductor 75 4.8: Circuit diagram of the transconductor 77 4.9: Continuous time, current, Gm-C integrator 78 4.10: Frequency transfer of the integrator 79 4.11: Linearized integrator 82
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