A Study on Comparator and Offset Calibration Techniques in High Speed Nyquist ADCs. Chi Hang Chan, Ivor

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A Study on Comparator and Offset Calibration Techniques in High Speed Nyquist ADCs by Chi Hang Chan, Ivor Master in Electrical and Electronics Engineering 2011 Faculty of Science and Technology University of Macau

ABSTRACT ordon Moore has predicted the number of transistors on chip will be doubled about Gevery two years from 1970 which is commonly known as Moore s Law. The development of integrated-circuit (IC) has stuck with this law by cutting the transistor dimensions in half in every two years, which greatly reduces the power consumption and cost per transistor. While technology scaling makes the digital signal processing (DSP) very powerful, it becomes a challenge in the design of high speed analog to digital interface. Especially, Nyquist analog-to-digital converters (ADCs) have to maintain the performance at high input frequency. In most Nyquist ADCs such as Flash, SAR, Binary-Search and Pipeline, comparators are considered as a very important building block. Pipeline ADC usually relaxes the comparators design complexity by error correction and uses to be considered not important for comparator design. However, it is not true in the modern pipeline ADC design with nano-meter technology and calibration of comparator is also required. Furthermore, Flash, SAR and Binary-Search ADCs are considered as highly comparator-based ADC architectures whose performance is greatly relied on the comparators design. In this thesis, different comparator architectures and offset calibration techniques will be described, analyzed and compared. The proposed offset calibration technique can greatly reduce the offset voltage in the comparators with small power consumption. Unlike the conventional approach, the presented technique does not require extra operation phases and amplification components which make this method suitable for high speed and low power design. Furthermore, under the analysis of different offset calibration approaches, the proposed technique improves the trade-off between calibration ranges, noise and able to achieve higher calibration resolution than the other calibration approaches. The calibration scheme and analytical results have been proven with simulation and multiple experiments. Three different ADC architectures have adopted the proposed method and achieved an expected performance during the measurement. Lastly, a design example of a high speed inverter-based Flash ADC is presented with post-layout simulation results. This ADC utilizes a similar calibration approach with modification for inverter-based Flash ADC architecture, which solves the linearity limitation comparing to the conventional inverter-based architecture. i

TABLE OF CONTENTS Abstract... i Key Words... ii Acknowledgments... iii List of Abbreviations...vii Table of Contents... ix List of Figures... xiii List of Tables... xv Chapter 1. Introduction... 1 1.1 Trend of Analog-to-Digital Conversion... 1 1.2 Applications of High-Speed ADCs... 3 1.2.1 Read Channel of Storage Systems... 3 1.2.2 Wireless USB... 4 1.2.3 Digital Oscilloscopes... 4 1.3 Nyquist ADC Architectures... 6 1.3.1 Flash ADC and Subranging Flash ADC... 6 1.3.2 Successive Approximation ADC... 7 1.3.3 Pipeline ADC... 8 1.4 Error from Comparator to CMOS ADCs... 9 1.5 Design Tradeoffs of Offset of Comparator... 10 1.6 Design Tradeoffs of Noise of Comparator... 11 1.7 Research Objective... 13 1.8 Statement of Originality and Respective Publications... 14 1.9 Organization of the Thesis... 15 Chapter 2. Analysis of Offset and Noise from Comparators... 19 2.1 Introduction... 19 2.2 Offset and Noise from Amplifier Type Comparator... 19 ix

2.2.1 Basic Operation of Amplifier Type Comparator... 20 2.2.2 Offset from Amplifier Type Comparator... 21 2.2.3 Noise from Amplifier Type Comparator... 23 2.3 Offset and Noise from Dynamic Comparators... 24 2.3.1 Basic Operation of Dynamic Comparators... 24 2.3.2 Offset from Dynamic Comparators... 25 2.3.3 Noise from Dynamic Comparators... 28 2.4 Design of Low Noise Comparator... 30 2.5 Summary... 32 Chapter 3. Design Technique of Low offset Comparator... 35 3.1 Introduction... 35 3.2 Conventional Approach... 36 3.2.1 Adding Preamplifier... 36 3.2.2 Auto-Zeroing... 37 3.3 Digital Offset Calibration... 39 3.4 Novel Offset Calibration Technique... 42 3.4.1 Calibration Scheme... 42 3.4.2 Circuit Implementation... 43 3.4.3 Simulation Results... 47 3.5 Analysis of Calibration Methods... 50 3.5.1 Analysis of Method1... 50 3.5.2 Analysis of Method2... 51 3.5.3 Analysis of proposed method... 52 3.6 Simulation Results... 53 3.6.1 Measurement Results... 56 3.7 Summary... 62 Chapter 4. Design Example- Comparator Optimization in Inverter - Based Flash ADC... 65 4.1 Introduction... 65 4.2 Inverter-Based Flash ADC Architecture... 66 4.3 Circuit Implementation of Embedded Reference... 67 4.4 Calibration Scheme of The Inverter-Based Flash ADC... 68 4.5 Power and Band-Width Analysis... 71 4.6 Layout... 72 4.7 Simulation Results... 72 x

4.8 Summary and Comparison... 74 Chapter 5. Conclusions and Prospective for Future Work... 77 5.1 Conclusions... 77 5.2 Prospective for Future Work... 78 Appendix 1. Dynamic comparator offset calculation 81 Appendix 2. Noise Analysis of dynamic comparator 85 xi