저 잡음 디지털 위상동기루프의 합성

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2014. 2. 정덕균.As a device scaling proceeds, Charge Pump PLL has been confronted by many design challenges. Especially, a leakage current in loop filter and reduced dynamic range due to a lower operating voltage make it difficult to adopt a conventional analog PLL architecture for a highly scaled technology. To solve these issues, All Digital PLL (ADPLL) has been widely studied recently. ADPLL mitigates a filter leakage and a reduced dynamic range issues by replacing the analog circuits with digital ones. However, it is still difficult to get a low jitter under low supply voltage. In this thesis, we propose a dual loop architecture to achieve a low jitter even with a low supply voltage. And bottom-up based multi-step TDC and DCO are proposed to meet both fine resolution and wide operation range. In the aspect of design methodology, ADPLL has relied on a full custom design method although ADPLL is fully described in HDL (Hardware Description Language). We propose a new cell based layout technique to automatically synthesize the whole circuit and layout. The test chip has no linearity degradation although it is fully synthesized using a commercially available auto P&R tool. We has implemented an all digital pixel clock generator using the proposed dual loop architecture and the cell based layout technique. The entire circuit is automatically synthesized using 28nm CMOS technology. And s-domain linear model is utilized to optimize the jitter of the dual-loop PLL. Test chip occupies 0.032mm2, and achieves a 15ps_rms integrated jitter although it has extremely low input reference clock of 100 kHz. The whole circuit operates at 1.0V and consumes only 3.1mW.Abstract i Lists of Figures vii Lists of Tables xiii 1. Introduction 1 1.1 Thesis Motivation and Organization 1 1.1.1 Motivation 1 1.1.2 Thesis Organization 2 1.2 PLL Design Issues in Scaled CMOS Technology 3 1.2.1 Low Supply Voltage 4 1.2.2 High Leakage Current 6 1.2.3 Device Reliability: NBTI, HCI, TDDB, EM 8 1.2.4 Mismatch due to Proximity Effects: WPE, STI 11 1.3 Overview of Clock Synthesizers 14 1.3.1 Dual Voltage Charge Pump PLL 14 1.3.2 DLL Based Edge Combining Clock Multiplier 16 1.3.3 Recirculation DLL 17 1.3.4 Reference Injected PLL 18 1.3.5 All Digital PLL 19 1.3.6 Flying Adder Clock Synthesizer 20 1.3.7 Dual Loop Hybrid PLL 21 1.3.8 Comparisons 23 2. Tutorial of ADPLL Design 25 2.1 Introduction 25 2.1.1 Motivation for a pure digital 25 2.1.2 Conversion to digital domain 26 2.2 Functional Blocks 26 2.2.1 TDC, and PFD/Charge Pump 26 2.2.2 Digital Loop Filter and Analog R/C Loop Filter 29 2.2.3 DCO and VCO 34 2.2.4 S-domain Model of the Whole Loop 34 2.2.5 ADPLL Loop Design Flow 36 2.3 S-domain Noise Model 41 2.3.1 Noise Transfer Functions 41 2.3.2 Quantization Noise due to Limited TDC Resolution 45 2.3.3 Quantization Noise due to Divider ΔΣ Noise 46 2.3.4 Quantization Noise due to Limited DCO Resolution 47 2.3.5 Quantization Noise due to DCO ΔΣ Dithering 48 2.3.6 Random Noise of DCO and Input Clock 50 2.3.7 Over-all Phase Noise 50 3. Synthesizable All Digital Pixel Clock PLL Design 53 3.1 Overview 53 3.1.1 Introduction of Pixel Clock PLL 53 3.1.1 Design Specifications 55 3.2 Proposed Architecture 60 3.2.1 All Digital Dual Loop PLL 60 3.2.2 2-step controlled TDC 61 3.2.3 3-step controlled DCO 64 3.2.4 Digital Loop Filter 76 3.3 S-domain Noise Model 78 3.4 Loop Parameter Optimization Based on the s-domain Model 85 3.5 RTL and Gate Level Circuit Design 88 3.5.1 Overview of the design flow 88 3.5.2 Behavioral Simulation and Gate level synthesis 89 3.5.1 Preventing a meta-stability 90 3.5.1 Reusable Coding Style 92 3.6 Layout Synthesis 94 3.6.1 Auto P&R 94 3.6.2 Design of Unit Cells 97 3.6.3 Linearity Degradation in Synthesized TDC 98 3.6.4 Linearity Degradation in Synthesized DCO 106 3.7 Experiment Results 109 3.7.1 DCO measurement 109 3.7.2 PLL measurement 113 3.8 Conclusions 117 A. Device Technology Scaling Trends 118 A.1. Motivation for Technology Scaling 118 A.2. Constant Field Scaling 120 A.3. Quasi Constant Voltage Scaling 123 A.4. Device Technology Trends in Real World 124 B. Spice Simulation Tip for a DCO 137 C. Phase Noise to Jitter Conversion 141 Bibliography 144 초록 151Docto

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

Digital Intensive Mixed Signal Circuits with In-situ Performance Monitors

University of Minnesota Ph.D. dissertation.November 2016. Major: Electrical/Computer Engineering. Advisor: Chris Kim. 1 computer file (PDF); x, 137 pages.Digital intensive circuit design techniques of different mixed-signal systems such as data converters, clock generators, voltage regulators etc. are gaining attention for the implementation of modern microprocessors and system-on-chips (SoCs) in order to fully utilize the benefits of CMOS technology scaling. Moreover different performance improvement schemes, for example, noise reduction, spur cancellation, linearity improvement etc. can be easily performed in digital domain. In addition to that, increasing speed and complexity of modern SoCs necessitate the requirement of in-situ measurement schemes, primarily for high volume testing. In-situ measurements not only obviate the need for expensive measurement equipments and probing techniques, but also reduce the test time significantly when a large number of chips are required to be tested. Several digital intensive circuit design techniques are proposed in this dissertation along with different in-situ performance monitors for a variety of mixed signal systems. First, a novel beat frequency quantization technique is proposed in a two-step VCO quantizer based ADC implementation for direct digital conversion of low amplitude bio- potential signals. By direct conversion, it alleviates the requirement of the area and power consuming analog-frontend (AFE) used in a conventional ADC designs. This prototype design is realized in a 65nm CMOS technology. Measured SNDR is 44.5dB from a 10mVpp, 300Hz signal and power consumption is only 38μW. Next, three different clock generation circuits, a phase-locked loop (PLL), a multiplying delay-locked loop (MDLL) and a frequency-locked loop (FLL) are presented. First a 0.4-to-1.6GHz sub-sampling fractional-N all digital PLL architecture is discussed that utilizes a D-flip-flop as a digital sub-sampler. Measurement results from a 65nm CMOS test-chip shows 5dB lower phase noise at 100KHz offset frequency, compared to a conventional architecture. The Digital PLL (DPLL) architecture is further extended for a digital MDLL implementation in order to suppress the VCO phase noise beyond the DPLL bandwidth. A zero-offset aperture phase detector (APD) and a digital- to-time converter (DTC) are employed for static phase-offset (SPO) cancellation. A unique in-situ detection circuitry achieves a high resolution SPO measurement in time domain. A 65nm test-chip shows 0.2-to-1.45GHz output frequency range while reducing the phase-noise by 9dB compared to a DPLL. Next, a frequency-to-current converter (FTC) based fractional FLL is proposed for a low accuracy clock generation in an extremely low area for IoT application. High density deep-trench capacitors are used for area reduction. The test-chip is fabricated in a 32nm SOI technology that takes only 0.0054mm2 active area. A high-resolution in-situ period jitter measurement block is also incorporated in this design. Finally, a time based digital low dropout (DLDO) regulator architecture is proposed for fine grain power delivery over a wide load current dynamic range and input/output voltage in order to facilitate dynamic voltage and frequency scaling (DVFS). High- resolution beat frequency detector dynamically adjusts the loop sampling frequency for ripple and settling time reduction due to load transients. A fixed steady-state voltage offset provides inherent active voltage positioning (AVP) for ripple reduction. Circuit simulations in a 65nm technology show more than 90% current efficiency for 100X load current variation, while it can operate for an input voltage range of 0.6V – 1.2V

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

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

Performance enhancement techniques for low power digital phase locked loops

Desire for low-power, high performance computing has been at core of the symbiotic union between digital circuits and CMOS scaling. While digital circuit performance improves with device scaling, analog circuits have not gained these benefits. As a result, it has become necessary to leverage increased digital circuit performance to mitigate analog circuit deficiencies in nanometer scale CMOS in order to realize world class analog solutions. In this thesis, both circuit and system enhancement techniques to improve performance of clock generators are discussed. The following techniques were developed: (1) A digital PLL that employs an adaptive and highly efficient way to cancel the effect of supply noise, (2) a supply regulated DPLL that uses low power regulator and improves supply noise rejection, (3) a digital multiplying DLL that obviates the need for high-resolution TDC while achieving sub-picosecond jitter and excellent supply noise immunity, and (4) a high resolution TDC based on a switched ring oscillator, are presented. Measured results obtained from the prototype chips are presented to illustrate the proposed design techniques

Analysis and Design of Energy Efficient Frequency Synthesizers for Wireless Integrated Systems

Advances in ultra-low power (ULP) circuit technologies are expanding the IoT applications in our daily life. However, wireless connectivity, small form factor and long lifetime are still the key constraints for many envisioned wearable, implantable and maintenance-free monitoring systems to be practically deployed at a large scale. The frequency synthesizer is one of the most power hungry and complicated blocks that not only constraints RF performance but also offers subtle scalability with power as well. Furthermore, the only indispensable off-chip component, the crystal oscillator, is also associated with the frequency synthesizer as a reference. This thesis addresses the above issues by analyzing how phase noise of the LO affect the frequency modulated wireless system in different aspects and how different noise sources in the PLL affect the performance. Several chip prototypes have been demonstrated including: 1) An ULP FSK transmitter with SAR assisted FLL; 2) A ring oscillator based all-digital BLE transmitter utilizing a quarter RF frequency LO and 4X frequency multiplier; and 3) An XO-less BLE transmitter with an RF reference recovery receiver. The first 2 designs deal with noise sources in the PLL loop for ultimate power and cost reduction, while the third design deals with the reference noise outside the PLL and explores a way to replace the XO in ULP wireless edge nodes. And at last, a comprehensive PN theory is proposed as the design guideline.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/153420/1/chenxing_1.pd

A Low Jitter Wideband Fractional-N Subsampling Phase Locked Loop (SSPLL)

Frequency synthesizers have become a crucial building block in the evolution of modern communication systems and consumer electronics. The spectral purity performance of frequency synthesizers limits the achievable data-rate and presents a noise-power tradeoff. For communication standards such as LTE where the channel spacing is a few kHz, the synthesizers must provide high frequencies with sufficiently wide frequency tuning range and fine frequency resolutions. Such stringent performance must be met with a limited power and small chip area. In this thesis a wideband fractional-N frequency synthesizer based on a subsampling phase locked loop (SSPLL) is presented. The proposed synthesizer which has a frequency resolution less than 100Hz employs a digital fractional controller (DFC) and a 10-bit digital-to-time converter (DTC) to delay the rising edges of the reference clock to achieve fractional phase lock. For fast convergence of the delay calibration, a novel two-step delay correlation loop (DCL) is employed. Furthermore, to provide optimum settling and jitter performance, the loop transfer characteristics during frequency acquisition and phase-lock are decoupled using a dual input loop filter (DILF). The fractional-N sub-sampling PLL (FNSSPLL) is implemented in a TSMC 40nm CMOS technology and occupies a total active area of 0.41mm^2. The PLL operates over frequency range of 2.8 GHz to 4.3 GHz (42% tuning range) while consuming 9.18mW from a 1.1V supply. The integrated jitter performance is better than 390 fs across all fractional frequency channel. The worst case fractional spur of -48.3 dBc occurs at a 650 kHz offset for a 3.75GHz fractional channel. The in-band phase noise measured at a 200 kHz offset is -112.5 dBc/Hz

On-Chip Analog Circuit Design Using Built-In Self-Test and an Integrated Multi-Dimensional Optimization Platform

Nowadays, the rapid development of system-on-chip (SoC) market introduces tremendous complexity into the integrated circuit (IC) design. Meanwhile, the IC fabrication process is scaling down to allow higher density of integration but makes the chips more sensitive to the process-voltage-temperature (PVT) variations. A successful IC product not only imposes great pressure on the IC designers, who have to handle wider variations and enforce more design margins, but also challenges the test procedure, leading to more check points and longer test time. To relax the designers’ burden and reduce the cost of testing, it is valuable to make the IC chips able to test and tune itself to some extent. In this dissertation, a fully integrated in-situ design validation and optimization (VO) hardware for analog circuits is proposed. It implements in-situ built-in self-test (BIST) techniques for analog circuits. Based on the data collected from BIST, the error between the measured and the desired performance of the target circuit is evaluated using a cost function. A digital multi-dimensional optimization engine is implemented to adaptively adjust the analog circuit parameters, seeking the minimum value of the cost function and achieving the desired performance. To verify this concept, study cases of a 2nd/4th active-RC band-pass filter (BPF) and a 2nd order Gm-C BPF, as well as all BIST and optimization blocks, are adopted on-chip. Apart from the VO system, several improved BIST techniques are also proposed in this dissertation. A single-tone sinusoidal waveform generator based on a finite-impulse-response (FIR) architecture, which utilizes an optimization algorithm to enhance its spur free dynamic range (SFDR), is proposed. It achieves an SFDR of 59 to 70 dBc from 150 to 850 MHz after the optimization procedure. A low-distortion current-steering two-tone sinusoidal signal synthesizer based on a mixing-FIR architecture is also proposed. The two-tone synthesizer extends the FIR architecture to two stages and implements an up-conversion mixer to generate the two tones, achieving better than -68 dBc IM3 below 480 MHz LO frequency without calibration. Moreover, an on-chip RF receiver linearity BIST methodology for continuous and discrete-time hybrid baseband chain is proposed. The proposed receiver chain implements a charge-domain FIR filter to notch the two excitation signals but expose the third order intermodulation (IM3) tones. It simplifies the linearity measurement procedure–using a power detector is enough to analyze the receiver’s linearity. Finally, a low cost fully digital built-in analog tester for linear-time-invariant (LTI) analog blocks is proposed. It adopts a time-to-digital converter (TDC) to measure the delays corresponded to a ramp excitation signal and is able to estimate the pole or zero locations of a low-pass LTI system