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Carnegie Mellon University CARNEGIE INSTITUDE of TECHNOLOGY THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY A 7-Bit 2.5GS/sec Time-Interleaved C-2C SAR ADC For 60GHz Multi-Band OFDM-Based Receivers ERKAN ALPMAN ACCEPTED BY THE DEPARTMENT OF ELECTRICAL and COMPUTER ENGINEERING ___________________________________________________________ _______________________ ADVISOR, MAJOR PROFESSOR DATE ___________________________________________________________ _______________________ DEPARMENT HEAD DATE APPROVED BY THE COLLEGE COUNCIL ___________________________________________________________ _______________________ DEAN DATE
ABSTRACT A 7-BIT 2.5GS/sec TIME-IҭTERLEAVED C-2C SAR ADC FOR 60GHz MULTI-BAҭD OFDM-BASED RECEIVERS Alpman, Erkan Ph.D., Department of Electrical and Computer Engineering Supervisor: Prof. Dr. L. Richard Carley August 2009 This thesis presents the design of a 7-bit 2.5GS/s Nyquist Analog-to-Digital Converter (ADC) in digital 45nm low-power (LP)-CMOS process, intended to be utilized in multi- band 60GHz Orthogonal Frequency Division Multiplexing (OFDM) based receivers for high-speed short-range wireless communication applications. The ADC is implemented by time-interleaving 16 C-2C Successive-Approximation-Register (SAR) ADCs with a modified C-2C DAC topology. Each unit C-2C SAR ADC is composed of a C-2C DAC, a comparator and a digital controller. The C-2C DAC includes a coarse and a fine radix calibration to mitigate the parasitic capacitance problem at the intermediate nodes of the DAC and it is also capable of sampling the input signal without the necessity of an external track-and-hold.. The comparator is biased with a dynamic biasing scheme to reduce the power dissipation and ii
its offset is calibrated in the background by only using digital blocks and a low-speed 6- bit R-2R DAC. The mismatches due to time-interleaving are calibrated by including offset, gain and timing calibrations to the overall converter. Gain and offset calibrations are carried out in the background by using two extra ADCs which are kept OFF unless the calibration is ON. Timing calibration is done with a sinusoidal input signal by adjusting on-chip delay lines to align the clock edges. The measured ENOB (Effective Number Of Bits) > 6.1b and SFDR (Spur Free Dynamic Range)< -49dBc for a single C-2C SAR ADC. For the time-interleaved SAR ADC, ENOB >5.4b, and SFDR > -43dBc up to the Nyquist frequency. The ADC consumes 50mW at 1.1V supply and achieves a Figure-of-Merit (FoM) of 480fJ/conv-step. iii
To My Family and To The Memory of My Grandparents Husnu & Ruvide Alpman and Mithat & Leman Erkut iv
ACKҭOWLEDGEMEҭTS I would like to express my appreciation and special thanks to my advisor Prof. Dr. L. Richard Carley for all of his guidance, support, and help throughout the development of this thesis and during the graduate study. I also want to thank Hasnain Lakdawala from Intel Corporation for his valuable suggestions, guidance, and help during my internship at Intel Corporation and also during the last year of my Ph.D. I am also grateful to my Ph.D. committee members for their guidance and advices throughout my Ph.D. study. Special thanks to Yorgos Palaskas, Ashoke Ravi, Ralph Bishop, Miki Moyal, Dale Hackitt, Eshel Gordon, Claudio Jakobson, Gordon Compton, and other members of Intel’s MWG and CTG for their help. I would also like to present my special thanks and deepest gratitude to my friend and colleague Michael Chen for his friendship, help, and support. I wish to thank Zhenning Wang and Wei Tai for their friendship and help. Special thanks to Assistant Prof. Dr. David Ricketts for his suggestions and help and also thanks to the members of CSSI for creating a friendly study environment and their friendship. I would like to acknowledge the financial support of the Focus Center for Circuit & System Solutions (C2S2), one of five research centers funded under the Focus Center Research Program, a Semiconductor Research Corporation Program. I am also very grateful to my “Intel Parents”, Stephanie and Chuck Reynolds, for their support, help, and friendship during my Ph.D. study. Last but not least, I wish to express my love and gratitude to my beloved family; for their understanding and endless love, encouragement and patience through the duration of my studies and my life. v
TABLE of COҭTEҭTS 1. IҭTRODUCTIOҭ..................................................................................................... 1 1.1. Wireless Communication.................................................................................. 2 1.2. Modulation Techniques .................................................................................... 4 1.3. Motivation .......................................................................................................... 5 1.4. Research Objectives and Thesis Organization ............................................... 8 2. ADC FUҭDAMEҭTALS ....................................................................................... 11 2.1. Analog-to-Digital (A/D) Conversion .............................................................. 12 2.2. Quantization .................................................................................................... 14 2.2.1. Quantization Error (Noise)............................................................................ 16 2.3. Sampling........................................................................................................... 21 2.4. ADC Specifications.......................................................................................... 28 2.4.1. DC Specifications.......................................................................................... 28 2.4.1.1. 2.4.1.2. 2.4.1.3. Offset..................................................................................................... 28 Gain Error.............................................................................................. 29 Nonlinearities ........................................................................................ 30 2.4.1.3.1. Differential Non-Linearity (DNL) ..................................................... 31 2.4.1.3.2. Integral Non-Linearity (INL) ............................................................. 32 vi
2.4.1.4. Monotonicity ......................................................................................... 34 2.4.2. AC Specifications.......................................................................................... 35 2.4.2.1. 2.4.2.2. 2.4.2.3. 2.4.2.4. 2.4.2.5. 2.4.2.6. 2.4.2.7. Clock Jitter (Aperture Uncertainty)....................................................... 35 Noise...................................................................................................... 37 SNR and SNDR..................................................................................... 39 Effective Number of Bits (ENOB)........................................................ 40 Spurious Free Dynamic Range (SFDR) ................................................ 40 Bit Error Rate (BER)............................................................................. 41 Figure-of-Merit (FoM) .......................................................................... 41 3. HIGH-SPEED ADC TOPOLOGIES .................................................................... 42 3.1. Flash ADCs ...................................................................................................... 43 3.2. Folding (and Interpolating) ADCs................................................................. 46 3.3. Subranging (Two-Step) ADCs ....................................................................... 51 3.4. Pipeline ADCs .................................................................................................. 53 3.5. Time-Interleaved ADCs.................................................................................. 54 3.6. State-of-the-Art Performances and Comparison ......................................... 56 4. SAR ADCS ............................................................................................................... 61 4.1. Architecture and Operation ........................................................................... 62 4.2. SAR ADC with Binary-Weighted Capacitive DAC ..................................... 64 4.2.1. 4.2.2. Architecture and Operation ........................................................................... 65 State-of-the-Art Performance of SAR ADCs with BW DAC....................... 68 4.3. SAR ADC with C-2C Capacitive DAC.......................................................... 70 4.3.1. Architecture and Operation of C-2C DAC.................................................... 70 vii
4.3.2. 4.3.3. SAR ADC with C-2C DAC .......................................................................... 74 State-of-the-Art Performance of SAR ADCs with C-2C DAC..................... 75 5. TIME-IҭTERLEAVIҭG ....................................................................................... 76 5.1. Time-Interleaving Problems........................................................................... 77 5.2. Offset Mismatch .............................................................................................. 78 5.3. Gain Mismatch ................................................................................................ 82 5.4. Clock Skew....................................................................................................... 87 5.5. Bandwidth Mismatch...................................................................................... 94 5.6. Jitter.................................................................................................................. 96 6. PROPOSED TIME-IҭTERLEAVED C-2C SAR ADC ...................................... 99 6.1. Overview of the Proposed C-2C SAR ADC ................................................ 100 6.2. Architecture of the Proposed C-2C SAR ADC........................................... 101 6.3. Operation of the Proposed C-2C SAR ADC ............................................... 103 6.4. Parasitic Capacitance Calibration............................................................... 111 6.4.1. 6.4.2. 6.4.3. 6.4.4. Coarse Radix Calibration (CRC) ................................................................ 112 Fine Radix Calibration (FRC)..................................................................... 113 CRC and FRC Simulation Results .............................................................. 118 CRC and FRC Algorithm............................................................................ 120 6.5. Switch Design................................................................................................. 120 6.5.1. 6.5.2. Reference Voltage Switch Design............................................................... 121 Input Sampling Switch (Input-aware Boosted Switch)............................... 126 viii
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