Technology-Independent CMOS Op Amp in Minimum Channel Length A Thesis Presented to The Academic Faculty by Susanta Sengupta In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in the School of Electrical and Computer Engineering Georgia Institute of Technology June 2004 Copyright @ 2004 by Susanta Sengupta Technology-Independent CMOS Op Amp in Minimum Channel Length Approved by: Dr. Phillip E. Allen, Advisor Dr. Farrokh Ayazi Dr. Gabriel A. Rincon-Mora Dr. Marshall Leach Dr. Thomas Morley Date Approved: July 8, 2004 To my wife, Proma, my son, Sidharth, and my parents ii ACKNOWLEDGEMENT I would like to thank my advisor, Dr. P.E. Allen for giving me this research opportunity. During the course of the research, the discussions and his advice helped me develop the thought process for the research. Understanding the root cause of a problem and finding the optimal solution is one of the many things I learnt from him. His consistent support has been very valuable in this research. I would also like to thank National Semiconductor Corporation for providing us with the fabrication resources, especially Patrick O. Farrell, who was of great help in the fabrication runs. I would also like to thank my friends Sudipto Chakraborty, Ye Ming Li, Ajay Kumar, Hyusen Dinc and others for their helpful discussions in the design and testing phases of the research. Lastly, I would like to thank my wife, Proma, for her support and patience throughout my research. iii TABLE OF CONTENTS Dedication iii Acknowledgement iv List of Tables x List of Figures xiv Summary xxi Chapter 1 Introduction 1 Chapter 2 Implications of Short Channel Length 5 and Technology Dependence on Circuit Performance 2.1 DC Biasing 7 2.2 Small-signal Gain 12 2.3 Mismatch 14 2.4 Limits on Supply Voltage 20 2.5 Noise 21 2.6 High frequency Performance 26 2.7 Distortion 27 2.8 Summary of Use of Minimum Channel Lengths 28 iv 2.9 Technology-Dependent Circuit Performance 29 2.9.1 Op Amp with Current Mirror Load 31 2.9.2 Cascode Op Amp 34 2.10 Effect of Technology Scaling 37 2.11 L -based Gain Stage with Constant Gain 39 min 2.12 L -based Gain Stage for Maximum Gain 45 min 2.13 Weak Inversion Operation of the MOS device 48 2.14 Summary 53 Chapter 3 CMOS Implementation of the Gain Stages 55 in Minimum Channel Length 3.1 Negative Resistance Circuit 55 3.2 Gain Stage with Negative Resistance 58 and Constant Gain 3.3 Bulk Effects 63 3.4 Common-Mode Feedback (CMFB) Circuit 65 3.5 Gain Stage with Negative Resistance 67 and Maximum Gain 3.6 Bias Circuit 70 3.7 Constant Bias Current Generation 73 3.8 Summary 83 Chapter 4 Two-stage, Miller-Compensated Op Amp 84 with Constant Phase Margin 4.1 Op Amp Compensation 85 4.2 Slew Rate 89 v 4.3 Input Referred Noise 89 4.4 Input Common-Mode Range (ICMR) 93 4.5 Power Supply Rejection Ratio (PSRR) 96 4.6 Simulation Results 98 4.6.1 Simulation Results of Op Amp OP1 99 4.6.2 Simulation Results of OP1 in 0.25 mm 101 CMOS Process 4.6.3 Simulation Results of OP1 in 0.18 mm 106 CMOS Process 4.6.4 Comparison of the Simulation Results 113 of OP1 in Two Different CMOS Processes 4.6.5 Simulation Results of Op Amp OP2 114 4.6.6 Simulation Results of OP2 in 0.25 mm 115 CMOS Process 4.6.7 Simulation Results of OP2 in 0.18 mm 120 CMOS Process 4.6.8 Comparison of the Simulation Results 125 of OP2 in Two Different CMOS Processes 4.7 Measurement Results 127 4.7.1 Measurement Results for 127 Matching of Devices 4.7.2 Bias Current Measurements 133 4.7.3 Measured Results of Op Amp OP2 138 4.7.4 Measured Results for OP2 in the 0.25 mm 144 CMOS Process 4.7.5 Measured Results for OP2 in the 0.18 mm 153 CMOS Process vi 4.8 Summary of L -based Design 156 min Chapter 5 Technology-Independent Op Amp Design 158 with Constant Gain Bandwidth and Phase Margin 5.1 Generation of Technology-Independent g 159 m 5.2 Gain Stage of OP3 165 5.3 Compensation of OP3 167 5.4 Simulation Results 172 5.4.1 Simulation Results of OP3 in the 0.25 mm 172 CMOS Process 5.4.2 Simulation Results of OP3 in the 0.18 mm 177 CMOS Process 5.4.3 Comparison of the Simulation Results 182 of OP3 in Two Different CMOS Processes 5.5 Measurement Results 185 5.5.1 Measured Results of OP3 in the 0.25 mm 186 CMOS Process 5.5.2 Measured Results of OP3 in the 0.18 mm 192 CMOS Process 5.6 Summary 199 Chapter 6 Buffered Op Amps 201 6.1 Current Feedback g Boosted PMOS Source 202 m Follower with NMOS current mirror sink 6.2 Current Feedback g Boosted PMOS Source 213 m Follower with Resistor-NMOS sink vii 6.3 Current Feedback g Boosted Push-Pull 223 m Source Follower 6.4 Buffered OP2 228 6.4.1 Simulation Results of Buffered OP2 229 6.4.2 Measurement Results of Buffered OP2 231 6.5 Buffered OP3 237 6.5.1 Simulation Results of Buffered OP3 237 6.5.2 Measurement Results of Buffered OP3 239 6.6 Future Work 252 6.7 Summary 254 Chapter 7 Contributions of the Research 255 References 258 viii LIST OF TABLES Table 2.1 Component values for the two-stage op amp with 32 current mirror load Table 2.2 Comparison of the performance of the two-stage 33 op amp with current mirror load two different CMOS technologies Table 2.3 Component values for the cascode op amp 35 Table 2.4 Comparison of the performance of the cascode 36 op amp in two different CMOS technologies Table 2.5 Circuit parameters with technology scaling 37 Table 3.1 Aspect ratios of the transistors of the gain stage 60 with constant gain Table 3.2 Aspect ratios of the transistors of the gain stage 68 with maximum gain Table 3.3 Aspect ratios of the transistors in the bias current 75 generation circuit Table 4.1 Change in the bias currents of different transistors 95 with an increase in the input common-mode voltage Table 4.2 Change in the bias currents of different transistors 95 with a decrease in the input common-mode voltage Table 4.3 Simulated performance of OP1 in the 101 0.25 mm CMOS process Table 4.4 Simulated performance of OP1 in the 106 0.18 mm CMOS process Table 4.5 Comparison of the simulated performance of OP1 111 in two different CMOS processes ix
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