Quadrature Phase-Domain ADPLL with Integrated On-line Amplitude Locked Loop Calibration for 5G Multi-band Applications

5th generation wireless systems (5G) have expanded frequency band coverage with the low-band 5G and mid-band 5G frequencies spanning 600 MHz to 4 GHz spectrum. This dissertation focuses on a microelectronic implementation of CMOS 65 nm design of an All-Digital Phase Lock Loop (ADPLL), which is a critical component for advanced 5G wireless transceivers. The ADPLL is designed to operate in the frequency bands of 600MHz-930MHz, 2.4GHz-2.8GHz and 3.4GHz-4.2GHz. Unique ADPLL sub-components include: 1) Digital Phase Frequency Detector, 2) Digital Loop Filter, 3) Channel Bank Select Circuit, and 4) Digital Control Oscillator. Integrated with the ADPLL is a 90-degree active RC-CR phase shifter with on-line amplitude locked loop (ALL) calibration to facilitate enhanced image rejection while mitigating the effects of fabrication process variations and component mismatch. A unique high-sensitivity high-speed dynamic voltage comparator is included as a key component of the active phase shifter/ALL calibration subsystem. 65nm CMOS technology circuit designs are included for the ADPLL and active phase shifter with simulation performance assessments. Phase noise results for 1 MHz offset with carrier frequencies of 600MHz, 2.4GHz, and 3.8GHz are -130, -122, and -116 dBc/Hz, respectively. Monte Carlo simulations to account for process variations/component mismatch show that the active phase shifter with ALL calibration maintains accurate quadrature phase outputs when operating within the frequency bands 600MHz-930MHz, 2.4GHz-2.8GHz and 3.4GHz-4.2GHz

Low power VCO-based analog-to-digital conversion

textThis dissertation presents novel two stage ADC architecture with a VCO based second stage. With the scaling of the supply voltages in modern CMOS process it is difficult to design high gain operational amplifiers needed for traditional voltage domain two-stage analog to digital converters. However time resolution continues to improve with the advancement in CMOS technology making VCO-based ADC more attractive. The nonlinearity in voltage-to-frequency transfer function is the biggest challenge in design of VCO based ADC. The hybrid approach used in this work uses a voltage domain first stage to determine the most significant bits and uses a VCO based second stage to quantize the small residue obtained from first stage. The architecture relaxes the gain requirement on the the first stage opamp and also relaxes the linearity requirements on the second stage VCO. The prototype ADC built in 65nm CMOS process achieves 63.7dB SNDR in 10MHz bandwidth while only consuming 1.1mW of power. The performance of the prototype chip is comparable to the state-of-art in terms of figure-of-merit but this new architecture uses significantly less circuit area.Electrical and Computer Engineerin

Clock multiplication techniques for high-speed I/Os

Generation of a low-jitter, high-frequency clock from a low-frequency reference clock using classical analog phase-locked loops (PLLs) requires a large loop filter capacitor and power hungry oscillator. Digital PLLs can help reduce area but their jitter performance is severely degraded by quantization error. In this dissertation different clock multiplication techniques have been explored that can be suitable for high-speed wireline systems. With the emphasis on ring oscillator based architecture using cascaded stages, three possible architectures are explored. First, a scrambling TDC (STDC) is presented to improve deterministic jitter (DJ) performance when used with a low-frequency reference clock. A cascaded architecture with digital multiplying delay locked loop as the first stage and hybrid analog/digital PLL as the second stage is used to achieve low random jitter in a power efficient manner. Fabricated in a 90nm CMOS process, the prototype frequency synthesizer consumes 4.76mW power from a 1.0V supply and generates 160MHz and 2.56 GHz output clocks from a 1.25MHz crystal reference frequency. The long-term absolute jitter of the 60MHz digital MDLL and 2.56 GHz digital PLL outputs are 2.4 psrms and 4.18 psrms, while the peak-to-peak jitter is 22.1 ps and 35.2 ps, respectively. The proposed frequency synthesizer occupies an active die area of 0.16mm2 and achieves power efficiency of 1.86 mW/GHz. Second, a hybrid phase/current-mode phase interpolator (HPC-PI) is presented to improve phase noise performance of ring oscillator-based fractional-N PLLs. The proposed HPC-PI alleviates the bandwidth trade-off between VCO phase noise suppression and ΔΣ quantization noise suppression. By combining the phase detection and interpolation functions into an XOR phase detector/interpolator (XOR PD-PI) block, accurate quantization error cancellation is achieved without using calibration. Use of a digital MDLL in front of the fractional-N PLL helps in alleviating the bandwidth limitation due to reference frequency and enables bandwidth extension even further. The extended bandwidth helps in suppressing the ring-VCO phase noise and lowering the in-band noise floor. Fabricated in 65nm CMOS process, the prototype generates fractional frequencies from 4.25 to 4.75 GHz, with an in-band phase noise floor of -104 dBc/Hz and 1.5 psrms integrated jitter. The clock multiplier achieves power efficiency of 2.4mW/GHz and FoM of -225.8 dB. Finally, an efficient clock generation, recovery, and distribution techniques for flexible-rate transceivers are presented. Using a fixed-frequency low-jitter clock provided by an integer-N PLL, fractional frequencies are generated/recovered locally using multi-phase fractional clock multipliers. Fabricated in a 65nm CMOS, the prototype transceiver can be programmed to operate at any rate from 3-to-10 Gb/s. At 10 Gb/s, integrated jitter of the Tx output and recovered clock is 360 fsrms and 758 fsrms, respectively

Techniques for Frequency Synthesizer-Based Transmitters.

Internet of Things (IoT) devices are poised to be the largest market for the semiconductor industry. At the heart of a wireless IoT module is the radio and integral to any radio is the transmitter. Transmitters with low power consumption and small area are crucial to the ubiquity of IoT devices. The fairly simple modulation schemes used in IoT systems makes frequency synthesizer-based (also known as PLL-based) transmitters an ideal candidate for these devices. Because of the reduced number of analog blocks and the simple architecture, PLL-based transmitters lend themselves nicely to the highly integrated, low voltage nanometer digital CMOS processes of today. This thesis outlines techniques that not only reduce the power consumption and area, but also significantly improve the performance of PLL-based transmitters.PhDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/113385/1/mammad_1.pd

차량용 CIS Interface 를 위한 All-Digital Phase-Locked Loop 의 설계 및 분석

학위논문 (석사) -- 서울대학교 대학원 : 공과대학 전기·정보공학부, 2021. 2. 정덕균.This thesis presents design techniques for All-Digital Phase-Locked Loop (ADPLL) assisting the automotive CMOS image sensor (CIS) interface. To target Gear 3 of the automotive physical system, the proposed AD-PLL has a wide operation range, low RMS jitter, and high PVT tolerance characteristics. Detailed analysis of the loop dynamics and the noise analysis of AD-PLL are done by using Matlab and Verilog behavioral modeling simulation before an actual design. Based on that analysis, the optimal DLF gain configurations are yielded, and also, accurate output responses and performance are predictable. The design techniques to reduce the output RMS jitter are discussed thoroughly and utilized for actual implementation. The proposed AD-PLL is fabricated in the 40 nm CMOS process and occupies an effective area of 0.026 mm2. The PLL output clock pulses exhibit an RMS jitter of 827 fs at 2 GHz. The power dissipation is 5.8 mW at 2 GHz, where the overall supply voltage domain is 0.9 V excluding the buffer which is 1.1 V domain.본 논문에서는 자동차 CMOS 이미지 센서 (CIS) 인터페이스를 지원하 는 AD-PLL 을 제안한다. Automotive Physical 시스템의 Gear 3 를 지원하기 위해 제안된 AD-PLL 은 1.5 GHz 에서 3 GHz 의 동작 주파수를 가지며, 낮 은 RMS Jitter 및 PVT 변화에 대한 높은 둔감성을 갖는다. 설계에 앞서서 Matlab 및 Verilog Behavioral Simulation 을 통해 Loop system 의 역학에 대한 자세한 분석 및 AD-PLL 의 Noise 분석을 수행하였고, 이 분석을 기반으로 최적의 DLF gain 과 정확한 출력 응답 및 성능을 예측 할 수 있었다. 또한, 출력의 Phase Noise 와 RMS Jitter 를 줄이기 위한 설계 기법을 자세히 다루고 있으며 이를 실제 구현에 활용했다. 제안된 회로는 40 nm CMOS 공정으로 제작되었으며 Decoupling Cap 을 제외하고 0.026 mm2 의 유효 면적을 차지한다. 측정된 출력 Clock 신호의 RMS Jitter 값은 2 GHz 에서 827 fs 이며, 총 5.8 mW의 Power 를 소비한다. 이 때, 전체적인 공급 전압은 0.9 V 이며, Buffer 의 Power 만이 1.1 V 를 사용하 였다.ABSTRACT I CONTENTS II LIST OF FIGURES IV LIST OF TABLES VII CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 3 CHAPTER 2 BACKGROUND ON ALL-DIGITAL PLL 4 2.1 OVERVIEW 4 2.2 BUILDING BLOCKS OF AD-PLL 7 2.2.1 TIME-TO-DIGITAL CONVERTER 7 2.2.2 DIGITALLY-CONTROLLED OSCILLATOR 10 2.2.3 DIGITAL LOOP FILTER 13 2.2.4 DELTA-SIGMA MODULATOR 16 2.3 PHASE NOISE ANALYSIS OF AD-PLL 20 2.3.1 BASIC ASSUMPTION OF LINEAR ANALYSIS 20 2.3.2 NOISE SOURCES OF AD-PLL 21 2.3.3 EFFECTS OF LOOP DELAY ON AD-PLL 24 2.3.4 PHASE NOISE ANALYSIS OF PROPOSED AD-PLL 26 CHAPTER 3 DESIGN OF ALL-DIGITAL PLL 28 3.1 DESIGN CONSIDERATION 28 3.2 OVERALL ARCHITECTURE 30 3.3 CIRCUIT IMPLEMENTATION 32 3.3.1 PFD-TDC 32 3.3.2 DCO 37 3.3.3 DIGITAL BLOCK 43 3.3.4 LEVEL SHIFTING BUFFER AND DIVIDER 45 CHAPTER 4 MEASUREMENT AND SIMULATION RESULTS 52 4.1 DIE PHOTOMICROGRAPH 52 4.2 MEASUREMENT SETUP 54 4.3 TRANSIENT ANALYSIS 57 4.4 PHASE NOISE AND SPUR PERFORMANCE 59 4.4.1 FREE-RUNNING DCO 59 4.4.2 PLL PERFORMANCE 61 4.5 PERFORMANCE SUMMARY 65 CHAPTER 5 CONCLUSION 67 BIBLIOGRAPHY 68 초 록 72Maste

Self-Calibrated, Low-Jitter and Low-Reference-Spur Injection-Locked Clock Multipliers

Department of Electrical EngineeringThis dissertation focuses primarily on the design of calibrators for the injection-locked clock multiplier (ILCM). ILCMs have advantage to achieve an excellent jitter performance at low cost, in terms of area and power consumption. The wide loop bandwidth (BW) of the injection technique could reject the noise of voltage-controlled oscillator (VCO), making it thus suitable for the rejection of poor noise of a ring-VCO and a high frequency LC-VCO. However, it is difficult to use without calibrators because of its sensitiveness in process-voltage-temperature (PVT) variations. In Chapter 2, conventional frequency calibrators are introduced and discussed. This dissertation introduces two types of calibrators for low-power high-frequency LC-VCO-based ILFMs in Chapter 3 and Chapter 4 and high-performance ring-VCO-based ILCM in Chapter 5. First, Chapter 3 presents a low power and compact area LC-tank-based frequency multiplier. In the proposed architecture, the input signals have a pulsed waveform that involves many high-order harmonics. Using an LC-tank that amplifies only the target harmonic component, while suppressing others, the output signal at the target frequency can be obtained. Since the core current flows for a very short duration, due to the pulsed input signals, the average power consumption can be dramatically reduced. Effective removal of spurious tones due to the damping of the signal is achieved using a limiting amplifier. In this work, a prototype frequency tripler using the proposed architecture was designed in a 65 nm CMOS process. The power consumption was 950 ??W, and the active area was 0.08 mm2. At a 3.12 GHz frequency, the phase noise degradation with respect to the theoretical bound was less than 0.5 dB. Second, Chapter 4 presents an ultra-low-phase-noise ILFM for millimeter wave (mm-wave) fifth-generation (5G) transceivers. Using an ultra-low-power frequency-tracking loop (FTL), the proposed ILFM is able to correct the frequency drifts of the quadrature voltage-controlled oscillator of the ILFM in a real-time fashion. Since the FTL is monitoring the averages of phase deviations rather than detecting or sampling the instantaneous values, it requires only 600??W to continue to calibrate the ILFM that generates an mm-wave signal with an output frequency from 27 to 30 GHz. The proposed ILFM was fabricated in a 65-nm CMOS process. The 10-MHz phase noise of the 29.25-GHz output signal was ???129.7 dBc/Hz, and its variations across temperatures and supply voltages were less than 2 dB. The integrated phase noise from 1 kHz to 100 MHz and the rms jitter were???39.1 dBc and 86 fs, respectively. Third, Chapter 5 presents a low-jitter, low-reference-spur ring voltage-controlled oscillator (ring VCO)-based ILCM. Since the proposed triple-point frequency/phase/slope calibrator (TP-FPSC) can accurately remove the three root causes of the frequency errors of ILCMs (i.e., frequency drift, phase offset, and slope modulation), the ILCM of this work is able to achieve a low-level reference spur. In addition, the calibrating loop for the frequency drift of the TP-FPSC offers an additional suppression to the in-band phase noise of the output signal. This capability of the TP-FPSC and the naturally wide bandwidth of the injection-locking mechanism allows the ILCM to achieve a very low RMS jitter. The ILCM was fabricated in a 65-nm CMOS technology. The measured reference spur and RMS jitter were ???72 dBc and 140 fs, respectively, both of which are the best among the state-of-the-art ILCMs. The active silicon area was 0.055 mm2, and the power consumption was 11.0 mW.clos

Inductorless Frequency Synthesizers for Low-Cost Wireless

AbstractThe quest for ubiquitous wireless connectivity, drives an increasing demand for compact and efficient means of frequency generation. Conventional synthesizer options, however, generally trade one requirement for the other, achieving either excellent levels of efficiency by leveraging LC-oscillators, or a very compact area by relying on ring-oscillators. This chapter describes a recently introduced class of inductorless frequency synthesizers, based on the periodic realignment of a ring-oscillator, that have the potential to break this tradeoff. After analyzing their jitter-power product, the conditions that ensure optimum performance are derived and a novel digital-to-time converter range-reduction technique is introduced, to enable low-jitter and low-power fractional-N frequency synthesis. A prototype, which implements the proposed design guidelines and techniques, has been fabricated in 65 nm CMOS. It occupies a core area of 0:0275 mm$$^{2}$$ 2 and covers the 1:6-to-3:0 GHz range, achieving an absolute rms jitter (integrated from 30 kHz-to-30 MHz) of 397 fs at 2:5 mW power. With a corresponding jitter-power figure-of-merit of −244 dB in the fractional-N mode, the prototype outperforms prior state-of-the-art inductorless frequency synthesizers

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

고속 시리얼 링크를 위한 고리 발진기를 기반으로 하는 주파수 합성기

학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·정보공학부, 2022. 8. 정덕균.In this dissertation, major concerns in the clocking of modern serial links are discussed. As sub-rate, multi-standard architectures are becoming predominant, the conventional clocking methodology seems to necessitate innovation in terms of low-cost implementation. Frequency synthesis with active, inductor-less oscillators replacing LC counterparts are reviewed, and solutions for two major drawbacks are proposed. Each solution is verified by prototype chip design, giving a possibility that the inductor-less oscillator may become a proper candidate for future high-speed serial links. To mitigate the high flicker noise of a high-frequency ring oscillator (RO), a reference multiplication technique that effectively extends the bandwidth of the following all-digital phase-locked loop (ADPLL) is proposed. The technique avoids any jitter accumulation, generating a clean mid-frequency clock, overall achieving high jitter performance in conjunction with the ADPLL. Timing constraint for the proper reference multiplication is first analyzed to determine the calibration points that may correct the existent phase errors. The weight for each calibration point is updated by the proposed a priori probability-based least-mean-square (LMS) algorithm. To minimize the time required for the calibration, each gain for the weight update is adaptively varied by deducing a posteriori which error source dominates the others. The prototype chip is fabricated in a 40-nm CMOS technology, and its measurement results verify the low-jitter, high-frequency clock generation with fast calibration settling. The presented work achieves an rms jitter of 177/223 fs at 8/16-GHz output, consuming 12.1/17-mW power. As the second embodiment, an RO-based ADPLL with an analog technique that addresses the high supply sensitivity of the RO is presented. Unlike prior arts, the circuit for the proposed technique does not extort the RO voltage headroom, allowing high-frequency oscillation. Further, the performance given from the technique is robust over process, voltage, and temperature (PVT) variations, avoiding the use of additional calibration hardware. Lastly, a comprehensive analysis of phase noise contribution is conducted for the overall ADPLL, followed by circuit optimizations, to retain the low-jitter output. Implemented in a 40-nm CMOS technology, the frequency synthesizer achieves an rms jitter of 289 fs at 8 GHz output without any injected supply noise. Under a 20-mVrms white supply noise, the ADPLL suppresses supply-noise-induced jitter by -23.8 dB.본 논문은 현대 시리얼 링크의 클락킹에 관여되는 주요한 문제들에 대하여 기술한다. 준속도, 다중 표준 구조들이 채택되고 있는 추세에 따라, 기존의 클라킹 방법은 낮은 비용의 구현의 관점에서 새로운 혁신을 필요로 한다. LC 공진기를 대신하여 능동 소자 발진기를 사용한 주파수 합성에 대하여 알아보고, 이에 발생하는 두가지 주요 문제점과 각각에 대한 해결 방안을 탐색한다. 각 제안 방법을 프로토타입 칩을 통해 그 효용성을 검증하고, 이어서 능동 소자 발진기가 미래의 고속 시리얼 링크의 클락킹에 사용될 가능성에 대해 검토한다. 첫번째 시연으로써, 고주파 고리 발진기의 높은 플리커 잡음을 완화시키기 위해 기준 신호를 배수화하여 뒷단의 위상 고정 루프의 대역폭을 효과적으로 극대화 시키는 회로 기술을 제안한다. 본 기술은 지터를 누적 시키지 않으며 따라서 깨끗한 중간 주파수 클락을 생성시켜 위상 고정 루프와 함께 높은 성능의 고주파 클락을 합성한다. 기준 신호를 성공적으로 배수화하기 위한 타이밍 조건들을 먼저 분석하여 타이밍 오류를 제거하기 위한 방법론을 파악한다. 각 교정 중량은 연역적 확률을 기반으로한 LMS 알고리즘을 통해 갱신되도록 설계된다. 교정에 필요한 시간을 최소화 하기 위하여, 각 교정 이득은 타이밍 오류 근원들의 크기를 귀납적으로 추론한 값을 바탕으로 지속적으로 제어된다. 40-nm CMOS 공정으로 구현된 프로토타입 칩의 측정을 통해 저소음, 고주파 클락을 빠른 교정 시간안에 합성해 냄을 확인하였다. 이는 177/223 fs의 rms 지터를 가지는 8/16 GHz의 클락을 출력한다. 두번째 시연으로써, 고리 발진기의 높은 전원 노이즈 의존성을 완화시키는 기술이 포함된 주파수 합성기가 설계되었다. 이는 고리 발진기의 전압 헤드룸을 보존함으로서 고주파 발진을 가능하게 한다. 나아가, 전원 노이즈 감소 성능은 공정, 전압, 온도 변동에 대하여 민감하지 않으며, 따라서 추가적인 교정 회로를 필요로 하지 않는다. 마지막으로, 위상 노이즈에 대한 포괄적 분석과 회로 최적화를 통하여 주파수 합성기의 저잡음 출력을 방해하지 않는 방법을 고안하였다. 해당 프로토타입 칩은 40-nm CMOS 공정으로 구현되었으며, 전원 노이즈가 인가되지 않은 상태에서 289 fs의 rms 지터를 가지는 8 GHz의 클락을 출력한다. 또한, 20 mVrms의 전원 노이즈가 인가되었을 때에 유도되는 지터의 양을 -23.8 dB 만큼 줄이는 것을 확인하였다.1 Introduction 1 1.1 Motivation 3 1.1.1 Clocking in High-Speed Serial Links 4 1.1.2 Multi-Phase, High-Frequency Clock Conversion 8 1.2 Dissertation Objectives 10 2 RO-Based High-Frequency Synthesis 12 2.1 Phase-Locked Loop Fundamentals 12 2.2 Toward All-Digital Regime 15 2.3 RO Design Challenges 21 2.3.1 Oscillator Phase Noise 21 2.3.2 Challenge 1: High Flicker Noise 23 2.3.3 Challenge 2: High Supply Noise Sensitivity 26 3 Filtering RO Noise 28 3.1 Introduction 28 3.2 Proposed Reference Octupler 34 3.2.1 Delay Constraint 34 3.2.2 Phase Error Calibration 38 3.2.3 Circuit Implementation 51 3.3 IL-ADPLL Implementation 55 3.4 Measurement Results 59 3.5 Summary 63 4 RO Supply Noise Compensation 69 4.1 Introduction 69 4.2 Proposed Analog Closed Loop for Supply Noise Compensation 72 4.2.1 Circuit Implementation 73 4.2.2 Frequency-Domain Analysis 76 4.2.3 Circuit Optimization 81 4.3 ADPLL Implementation 87 4.4 Measurement Results 90 4.5 Summary 98 5 Conclusions 99 A Notes on the 8REF 102 B Notes on the ACSC 105박