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

TIME-DIFFERENCE CIRCUITS: METHODOLOGY, DESIGN, AND DIGITAL REALIZATION

This thesis presents innovations for a special class of circuits called Time Difference (TD) circuits. We introduce a signal processing methodology with TD signals that alters the target signal from a magnitude perspective to time interval between two time events and systematically organizes the primary TD functions abstracted from existing TD circuits and systems. The TD circuits draw attention from a broad range of application fields. In addition, highly evolved complementary metal-oxide-semiconductor (CMOS) technology suffers from various problems related to voltage and current amplitude signal processing methods. Compared to traditional analog and digital circuits, TD circuits bring several compelling features: high-resolution, high-throughput, and low-design complexity with digital integration capability. Further, the fabrication technology is advancing into the nanometer regime; the reduction in voltage headroom limits the performance of traditional analog/mixed-signal designs. All-digital design of time-difference circuit needs to be stressed to adapt to the low-cost, low-power, and high-portability applications. We focus on Time-to-Digital Converters (TDC), one of the crucial building blocks in TD circuits. A novel algorithmic architecture is proposed based on a binary search algorithm and validated with both simulation and fabricated silicon. An all-digital structure Time-difference Amplifier (TDA) is designed and implemented to make FPGA and other all-digital implementations for TDC and related TD circuits feasible. Besides, we propose an all-digital timing measurement circuit based on the process variation from CMOS fabrication: PVTMC, which achieves a high measurement resolution:

High Performance Local Oscillator Design for Next Generation Wireless Communication

Local Oscillator (LO) is an essential building block in modern wireless radios. In modern wireless radios, LO often serves as a reference of the carrier signal to modulate or demod- ulate the outgoing or incoming data. The LO signal should be a clean and stable source, such that the frequency or timing information of the carrier reference can be well-defined. However, as radio architecture evolves, the importance of LO path design has become much more important than before. Of late, many radio architecture innovations have exploited sophisticated LO generation schemes to meet the ever-increasing demands of wireless radio performances. The focus of this thesis is to address challenges in the LO path design for next-generation high performance wireless radios. These challenges include (1) Congested spectrum at low radio frequency (RF) below 5GHz (2) Continuing miniaturization of integrated wireless radio, and (3) Fiber-fast (>10Gb/s) mm-wave wireless communication. The thesis begins with a brief introduction of the aforementioned challenges followed by a discussion of the opportunities projected to overcome these challenges. To address the challenge of congested spectrum at frequency below 5GHz, novel ra- dio architectures such as cognitive radio, software-defined radio, and full-duplex radio have drawn significant research interest. Cognitive radio is a radio architecture that opportunisti- cally utilize the unused spectrum in an environment to maximize spectrum usage efficiency. Energy-efficient spectrum sensing is the key to implementing cognitive radio. To enable energy-efficient spectrum sensing, a fast-hopping frequency synthesizer is an essential build- ing block to swiftly sweep the carrier frequency of the radio across the available spectrum. Chapter 2 of this thesis further highlights the challenges and trade-offs of the current LO gen- eration scheme for possible use in sweeping LO-based spectrum analysis. It follows by intro- duction of the proposed fast-hopping LO architecture, its implementation and measurement results of the validated prototype. Chapter 3 proposes an embedded phase-shifting LO-path design for wideband RF self-interference cancellation for full-duplex radio. It demonstrates a synergistic design between the LO path and signal to perform self-interference cancellation. To address the challenge of continuing miniaturization of integrated wireless radio, ring oscillator-based frequency synthesizer is an attractive candidate due to its compactness. Chapter 4 discussed the difficulty associated with implementing a Phase-Locked Loop (PLL) with ultra-small form-factor. It further proposes the concept sub-sampling PLL with time- based loop filter to address these challenges. A 65nm CMOS prototype and its measurement result are presented for validation of the concept. In shifting from RF to mm-wave frequencies, the performance of wireless communication links is boosted by significant bandwidth and data-rate expansion. However, the demand for data-rate improvement is out-pacing the innovation of radio architectures. A >10Gb/s mm-wave wireless communication at 60GHz is required by emerging applications such as virtual-reality (VR) headsets, inter-rack data transmission at data center, and Ultra-High- Definition (UHD) TV home entertainment systems. Channel-bonding is considered to be a promising technique for achieving >10Gb/s wireless communication at 60GHz. Chapter 5 discusses the fundamental radio implementation challenges associated with channel-bonding for 60GHz wireless communication and the pros and cons of prior arts that attempted to address these challenges. It is followed by a discussion of the proposed 60GHz channel- bonding receiver, which utilizes only a single PLL and enables both contiguous and non- contiguous channel-bonding schemes. Finally, Chapter 6 presents the conclusion of this thesis

Probabilistic modeling for single-photon lidar

Lidar is an increasingly prevalent technology for depth sensing, with applications including scientific measurement and autonomous navigation systems. While conventional systems require hundreds or thousands of photon detections per pixel to form accurate depth and reflectivity images, recent results for single-photon lidar (SPL) systems using single-photon avalanche diode (SPAD) detectors have shown accurate images formed from as little as one photon detection per pixel, even when half of those detections are due to uninformative ambient light. The keys to such photon-efficient image formation are two-fold: (i) a precise model of the probability distribution of photon detection times, and (ii) prior beliefs about the structure of natural scenes. Reducing the number of photons needed for accurate image formation enables faster, farther, and safer acquisition. Still, such photon-efficient systems are often limited to laboratory conditions more favorable than the real-world settings in which they would be deployed. This thesis focuses on expanding the photon detection time models to address challenging imaging scenarios and the effects of non-ideal acquisition equipment. The processing derived from these enhanced models, sometimes modified jointly with the acquisition hardware, surpasses the performance of state-of-the-art photon counting systems. We first address the problem of high levels of ambient light, which causes traditional depth and reflectivity estimators to fail. We achieve robustness to strong ambient light through a rigorously derived window-based censoring method that separates signal and background light detections. Spatial correlations both within and between depth and reflectivity images are encoded in superpixel constructions, which fill in holes caused by the censoring. Accurate depth and reflectivity images can then be formed with an average of 2 signal photons and 50 background photons per pixel, outperforming methods previously demonstrated at a signal-to-background ratio of 1. We next approach the problem of coarse temporal resolution for photon detection time measurements, which limits the precision of depth estimates. To achieve sub-bin depth precision, we propose a subtractively-dithered lidar implementation, which uses changing synchronization delays to shift the time-quantization bin edges. We examine the generic noise model resulting from dithering Gaussian-distributed signals and introduce a generalized Gaussian approximation to the noise distribution and simple order statistics-based depth estimators that take advantage of this model. Additional analysis of the generalized Gaussian approximation yields rules of thumb for determining when and how to apply dither to quantized measurements. We implement a dithered SPL system and propose a modification for non-Gaussian pulse shapes that outperforms the Gaussian assumption in practical experiments. The resulting dithered-lidar architecture could be used to design SPAD array detectors that can form precise depth estimates despite relaxed temporal quantization constraints. Finally, SPAD dead time effects have been considered a major limitation for fast data acquisition in SPL, since a commonly adopted approach for dead time mitigation is to operate in the low-flux regime where dead time effects can be ignored. We show that the empirical distribution of detection times converges to the stationary distribution of a Markov chain and demonstrate improvements in depth estimation and histogram correction using our Markov chain model. An example simulation shows that correctly compensating for dead times in a high-flux measurement can yield a 20-times speed up of data acquisition. The resulting accuracy at high photon flux could enable real-time applications such as autonomous navigation