캘리브레이션이 필요없는 위상고정 루프의 설계

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2017. 2. 김재하.A PVT-insensitive-bandwidth PLL and a chirp frequency synthesizer PLL are proposed using a constant-relative-gain digitally-controlled oscillator (DCO), a constant-gain time-to-digital converter (TDC), and a simple digital loop filter (DLF) without an explicit calibration or additional circuit components. A digital LC-PLL that realizes a PVT-insensitive loop bandwidth (BW) by using the constant-relative-gain LC-DCO and constant-gain TDC is proposed. In other words, based on ratiometric circuit designs, the LC-DCO can make a fixed percent change to its frequency for a unit change in its digital input and the TDC can maintain a fixed range and resolution measured in reference unit intervals (UIs) across PVT variations. With such LC-DCO and TDC, the proposed PLL can realize a bandwidth which is a constant fraction of the reference frequency even with a simple proportional-integral digital loop filter without any explicit calibration loops. The prototype digital LC-PLL fabricated in a 28-nm CMOS demonstrates a frequency range of 8.38~9.34 GHz and 652-fs,rms integrated jitter from 10-kHz to 1-GHz at 8.84-GHz while dissipating 15.2-mW and occupying 0.24-mm^2. Also, the PLL across three different die samples and supply voltage ranging from 1.0 to 1.2V demonstrates a nearly constant BW at 822-kHz with the variation of ±4.25-% only. A chirp frequency synthesizer PLL (FS-PLL) that is capable of precise triangular frequency modulation using type-III digital LC-PLL architecture for X-band FMCW imaging radar is proposed. By employing a phase-modulating two-point modulation (TPM), constant-gain TDC, and a simple second-order DLF with polarity-alternating frequency ramp estimator, the PLL achieves a gain self-tracking TPM realizing a frequency chirp with fast chirp slope (=chirp BW/chirp period) without increasing frequency errors around the turn-around points, degrading the effective resolution achievable. A prototype chirp FS-PLL fabricated in a 65nm CMOS demonstrates that the PLL can generate a precise triangular chirp profile centered at 8.9-GHz with 940-MHz bandwidth and 28.8-us period with only 1.9-MHz,rms frequency error including the turn-around points and 14.8-mW power dissipation. The achieved 32.63-MHz/us chirp slope is higher than that of FMCW FS-PLLs previously reported by 2.6x.CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 5 CHAPTER 2 CONVENTIONAL PHASE-LOCKED LOOP 7 2.1 CHARGE-PUMP PLL 7 2.1.1 OPERATING PRINCIPLE 7 2.1.2 LOOP DYNAMICS 9 2.2 DIGITAL PLL 10 2.2.1 OPERATING PRINCIPLE 11 2.2.2 LOOP DYNAMICS 12 CHAPTER 3 VARIATIONS ON PHASE-LOCKED LOOP 14 3.1 OSCILLATOR GAIN VARIATION 14 3.1.1 RING VOLTAGE-CONTROLLED OSCILLATOR 15 3.1.2 LC VOLTAGE-CONTROLLED OSCILLATOR 17 3.1.3 LC DIGITALLY-CONTROLLED OSCILLATOR 19 3.2 PHASE DETECTOR GAIN VARIATION 20 3.2.1 LINEAR PHASE DETECTOR 20 3.2.2 LINEAR TIME-TO-DIGITAL CONVERTER 21 CHAPTER 4 PROPOSED DCO AND TDC FOR CALIBRATION-FREE PLL 23 4.1 DIGTALLY-CONTROLLED OSCILLATOR (DCO) 25 4.1.1 OVERVIEW 24 4.1.2 CONSTANT-RELATIVE-GAIN DCO 26 4.2 TIME-TO-DIGITAL CONVERTER (TDC) 28 4.2.1 OVERVIEW 28 4.2.2 CONSTANT-GAIN TDC 30 CHAPTER 5 PVT-INSENSITIVE-BANDWIDTH PLL 35 5.1 OVERVIEW 36 5.2 PRIOR WORKS 37 5.3 PROPOSED PVT-INSENSITIVE-BANDWIDTH PLL 39 5.4 CIRCUIT IMPLEMENTATION 41 5.4.1 CAPACITOR-TUNED LC-DCO 41 5.4.2 TRANSFORMER-TUNED LC-DCO 45 5.4.3 OVERSAMPLING-BASED CONSTANT-GAIN TDC 49 5.4.4 PHASE DIGITAL-TO-ANALOG CONVERTER 52 5.4.5 DIGITAL LOOP FILTER 54 5.4.6 FREQUENCY DIVIDER 55 5.4.7 BANG-BANG PHASE-FREQUENCY DETECTOR 56 5.5 CELL-BASED DESIGN FLOW 57 5.6 MEASUREMENT RESULTS 58 CHAPTER 6 CHIRP FREQUENCY SYNTHESIZER PLL 66 6.1 OVERVIEW 67 6.2 PRIOR WORKS 71 6.3 PROPOSED CHIRP FREQUENCY SYNTHESIZER PLL 75 6.4 CIRCUIT IMPLEMENTATION 83 6.4.1 SECOND-ORDER DIGITAL LOOP FILTER 83 6.4.2 PHASE MODULATOR 84 6.4.3 CONSTANT-GAIN TDC 85 6.4.4 VRACTOR-BASED LC-DCO 87 6.4.5 OVERALL CLOCK CHAIN 90 6.5 MEASUREMENT RESULTS 91 6.6 SIGNAL-TO-NOISE RATIO OF RADAR 98 CHAPTER 7 CONCLUSION 100 BIBLIOGRAPHY 102 초록 109Docto

Design of Digital FMCW Chirp Synthesizer PLLs Using Continuous-Time Delta-Sigma Time-to-Digital Converters

Radar applications for driver assistance systems and autonomous vehicles have spurred the development of frequency-modulated continuous-wave (FMCW) radar. Continuous signal transmission and high operation frequencies in the K- and W-bands enable radar systems with low power consumption and small form factors. The radar performance depends on high-quality signal sources for chirp generation to ensure accurate and reliable target detection, requiring chirp synthesizers that offer fast frequency settling and low phase noise. Fractional-N phase locked loops (PLLs) are an effective tool for synthesis of FMCW waveform profiles, and advances in CMOS technology have enabled high-performance single-chip CMOS synthesizers for FMCW radar. Design approaches for FMCW chirp synthesizer PLLs need to address the conflicting requirements of fast settling and low close-in phase noise. While integrated PLLs can be implemented as analog or digital PLLs, analog PLLs still dominate for high frequencies. Digital PLLs offer greater programmability and area efficiency than their analog counterparts, but rely on high-resolution time-to-digital converters (TDCs) for low close-in phase noise. Performance limitations of conventional TDCs remain a roadblock for achieving low phase noise with high-frequency digital PLLs. This shortcoming of digital PLLs becomes even more pronounced with wide loop bandwidths as required for FMCW radar. To address this problem, this work presents digital FMCW chirp synthesizer PLLs using continuous-time delta-sigma TDCs. After a discussion of the requirements for PLL-based FMCW chirp synthesizers, this dissertation focuses on digital fractional-N PLL designs based on noise-shaping TDCs that leverage state-of-the-art delta-sigma modulator techniques to achieve low close-in phase noise in wide-bandwidth digital PLLs. First, an analysis of the PLL bandwidth and chirp linearity studies the design requirements for chirp synthesizer PLLs. Based on a model of a complete radar system, the analysis examines the impact of the PLL bandwidth on the radar performance. The modeling approach allows for a straightforward study of the radar accuracy and reliability as functions of the chirp parameters and the PLL configuration. Next, an 18-to-22GHz chirp synthesizer PLL that produces a 25-segment chirp for a 240GHz FMCW radar application is described. This synthesizer design adapts an existing third-order noise-shaping TDC design. A 65nm CMOS prototype achieves a measured close-in phase noise of -88dBc/Hz at 100kHz offset for wide PLL bandwidths and consumes 39.6mW. The prototype drives a radar testbed to demonstrate the effectiveness of the synthesizer design in a complete radar system. Finally, a second-order noise-shaping TDC based on a fourth-order bandpass delta-sigma modulator is introduced. This bandpass delta-sigma TDC leverages the high resolution of a bandpass delta-sigma modulator by sampling a sinusoidal PLL reference and applies digital down-conversion to achieve low TDC noise in the frequency band of interest. Based on the bandpass delta-sigma TDC, a 38GHz digital FMCW chirp synthesizer PLL is designed. The feedback divider applies phase interpolation with a phase rotation scheme to ensure the effectiveness of the low TDC noise. A prototype PLL, fabricated in 40nm CMOS, achieves a measured close-in phase noise of -85dBc/Hz at 100kHz offset for wide loop bandwidths >1MHz and consumes 68mW. It effectively generates fast (500MHz/55us) and precise (824kHz rms frequency error) triangular chirps for FMCW radar. The bandpass delta-sigma TDC achieves a measured integrated rms noise of 325fs in a 1MHz bandwidth.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147732/1/dweyer_1.pdfDescription of dweyer_1.pdf : Restricted to UM users only