In-system Jitter Measurement Based on Blind Oversampling Data Recovery

The paper describes a novel method for simple estimation of jitter contained in a received digital signal. The main objective of our research was to enable a non-invasive measurement of data link properties during a regular data transmission. To evaluate the signal quality we estimate amount of jitter contained in the received signal by utilizing internal signals of a data recovery circuit. The method is a pure digital algorithm suitable for implementation in any digital integrated circuit (ASIC or FPGA). It is based on a blind-oversampling data recovery circuit which is used in some receivers instead of a traditional PLL-based clock and data recovery (CDR) circuit. Combination of the described jitter measurement block and the data recovery block forms a very efficient input part of the digital receiver. In such configuration it is able to simultaneously perform both data communication (data recovery) and signal quality estimation (jitter measurement). The jitter measurement portion of the receiver requires no special connection of the received data signal. Thus the measured signal is not influenced by the measurement circuitry at all. To verify the method we performed a measurement on a laboratory free-space optics link. Results of the measurement are satisfactory and can be used for on-line channel analysis

A high speed serializer/deserializer design

A Serializer/Deserializer (SerDes) is a circuit that converts parallel data into a serial stream and vice versa. It helps solve clock/data skew problems, simplifies data transmission, lowers the power consumption and reduces the chip cost. The goal of this project was to solve the challenges in high speed SerDes design, which included the low jitter design, wide bandwidth design and low power design. A quarter-rate multiplexer/demultiplexer (MUX/DEMUX) was implemented. This quarter-rate structure decreases the required clock frequency from one half to one quarter of the data rate. It is shown that this significantly relaxes the design of the VCO at high speed and achieves lower power consumption. A novel multi-phase LC-ring oscillator was developed to supply a low noise clock to the SerDes. This proposed VCO combined an LC-tank with a ring structure to achieve both wide tuning range (11%) and low phase noise (-110dBc/Hz at 1MHz offset). With this structure, a data rate of 36 Gb/s was realized with a measured peak-to-peak jitter of 10ps using 0.18microm SiGe BiCMOS technology. The power consumption is 3.6W with 3.4V power supply voltage. At a 60 Gb/s data rate the simulated peak-to-peak jitter was 4.8ps using 65nm CMOS technology. The power consumption is 92mW with 2V power supply voltage. A time-to-digital (TDC) calibration circuit was designed to compensate for the phase mismatches among the multiple phases of the PLL clock using a three dimensional fully depleted silicon on insulator (3D FDSOI) CMOS process. The 3D process separated the analog PLL portion from the digital calibration portion into different tiers. This eliminated the noise coupling through the common substrate in the 2D process. Mismatches caused by the vertical tier-to-tier interconnections and the temperature influence in the 3D process were attenuated by the proposed calibration circuit. The design strategy and circuits developed from this dissertation provide significant benefit to both wired and wireless applications

통계적 주파수 검출기 기반 기준 주파수를 사용하지 않는 클록 및 데이터 복원 회로의 설계 방법론

학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·정보공학부, 2022. 8. 정덕균.In this thesis, a design of a high-speed, power-efficient, wide-range clock and data recovery (CDR) without a reference clock is proposed. A frequency acquisition scheme using a stochastic frequency detector (SFD) based on the Alexander phase detector (PD) is utilized for the referenceless operation. Pat-tern histogram analysis is presented to analyze the frequency acquisition behavior of the SFD and verified by simulation. Based on the information obtained by pattern histogram analysis, SFD using autocovariance is proposed. With a direct-proportional path and a digital integral path, the proposed referenceless CDR achieves frequency lock at all measurable conditions, and the measured frequency acquisition time is within 7μs. The prototype chip has been fabricated in a 40-nm CMOS process and occupies an active area of 0.032 mm2. The proposed referenceless CDR achieves the BER of less than 10-12 at 32 Gb/s and exhibits an energy efficiency of 1.15 pJ/b at 32 Gb/s with a 1.0 V supply.본 논문은 기준 클럭이 없는 고속, 저전력, 광대역으로 동작하는 클럭 및 데이터 복원회로의 설계를 제안한다. 기준 클럭이 없는 동작을 위해서 알렉산더 위상 검출기에 기반한 통계적 주파수 검출기를 사용하는 주파수 획득 방식이 사용된다. 통계적 주파수 검출기의 주파수 추적 양상을 분석하기 위해 패턴 히스토그램 분석 방법론을 제시하였고 시뮬레이션을 통해 검증하였다. 패턴 히스토그램 분석을 통해 얻은 정보를 바탕으로 자기공분산을 이용한 통계적 주파수 검출기를 제안한다. 직접 비례 경로와 디지털 적분 경로를 통해 제안된 기준 클럭이 없는 클럭 및 데이터 복원회로는 모든 측정 가능한 조건에서 주파수 잠금을 달성하는 데 성공하였고, 모든 경우에서 측정된 주파수 추적 시간은 7μs 이내이다. 40-nm CMOS 공정을 이용하여 만들어진 칩은 0.032 mm2의 면적을 차지한다. 제안하는 클럭 및 데이터 복원회로는 32 Gb/s의 속도에서 비트에러율 10-12 이하로 동작하였고, 에너지 효율은 32Gb/s의 속도에서 1.0V 공급전압을 사용하여 1.15 pJ/b을 달성하였다.CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 13 CHAPTER 2 BACKGROUNDS 14 2.1 CLOCKING ARCHITECTURES IN SERIAL LINK INTERFACE 14 2.2 GENERAL CONSIDERATIONS FOR CLOCK AND DATA RECOVERY 24 2.2.1 OVERVIEW 24 2.2.2 JITTER 26 2.2.3 CDR JITTER CHARACTERISTICS 33 2.3 CDR ARCHITECTURES 39 2.3.1 PLL-BASED CDR – WITH EXTERNAL REFERENCE CLOCK 39 2.3.2 DLL/PI-BASED CDR 44 2.3.3 PLL-BASED CDR – WITHOUT EXTERNAL REFERENCE CLOCK 47 2.4 FREQUENCY ACQUISITION SCHEME 50 2.4.1 TYPICAL FREQUENCY DETECTORS 50 2.4.1.1 DIGITAL QUADRICORRELATOR FREQUENCY DETECTOR 50 2.4.1.2 ROTATIONAL FREQUENCY DETECTOR 54 2.4.2 PRIOR WORKS 56 CHAPTER 3 DESIGN OF THE REFERENCELESS CDR USING SFD 58 3.1 OVERVIEW 58 3.2 PROPOSED FREQUENCY DETECTOR 62 3.2.1 MOTIVATION 62 3.2.2 PATTERN HISTOGRAM ANALYSIS 68 3.2.3 INTRODUCTION OF AUTOCOVARIANCE TO STOCHASTIC FREQUENCY DETECTOR 75 3.3 CIRCUIT IMPLEMENTATION 83 3.3.1 IMPLEMENTATION OF THE PROPOSED REFERENCELESS CDR 83 3.3.2 CONTINUOUS-TIME LINEAR EQUALIZER (CTLE) 85 3.3.3 DIGITALLY-CONTROLLED OSCILLATOR (DCO) 87 3.4 MEASUREMENT RESULTS 89 CHAPTER 4 CONCLUSION 99 APPENDIX A DETAILED FREQUENCY ACQUISITION WAVEFORMS OF THE PROPOSED SFD 100 BIBLIOGRAPHY 108 초 록 122박

Architectures and Circuits Leveraging Injection-Locked Oscillators for Ultra-Low Voltage Clock Synthesis and Reference-less Receivers for Dense Chip-to-Chip Communications

High performance computing is critical for the needs of scientific discovery and economic competitiveness. An extreme-scale computing system at 1000x the performance of today’s petaflop machines will exhibit massive parallelism on multiple vertical fronts, from thousands of computational units on a single processor to thousands of processors in a single data center. To facilitate such a massively-parallel extreme-scale computing, a key challenge is power. The challenge is not power associated with base computation but rather the problem of transporting data from one chip to another at high enough rates. This thesis presents architectures and techniques to achieve low power and area footprint while achieving high data rates in a dense very-short reach (VSR) chip-to-chip (C2C) communication network. High-speed serial communication operating at ultra-low supplies improves the energy-efficiency and lowers the power envelop of a system doing an exaflop of loops. One focus area of this thesis is clock synthesis for such energy-efficient interconnect applications operating at high speeds and ultra-low supplies. A sub-integer clockfrequency synthesizer is presented that incorporates a multi-phase injection-locked ring-oscillator-based prescaler for operation at an ultra-low supply voltage of 0.5V, phase-switching based programmable division for sub-integer clock-frequency synthesis, and automatic calibration to ensure injection lock. A record speed of 9GHz has been demonstrated at 0.5V in 45nm SOI CMOS. It consumes 3.5mW of power at 9.12GHz and 0.052 of area, while showing an output phase noise of -100dBc/Hz at 1MHz offset and RMS jitter of 325fs; it achieves a net of -186.5 in a 45-nm SOI CMOS process. This thesis also describes a receiver with a reference-less clocking architecture for high-density VSR-C2C links. This architecture simplifies clock-tree planning in dense extreme-scaling computing environments and has high-bandwidth CDR to enable SSC for suppressing EMI and to mitigate TX jitter requirements. It features clock-less DFE and a high-bandwidth CDR based on master-slave ILOs for phase generation/rotation. The RX is implemented in 14nm CMOS and characterized at 19Gb/s. It is 1.5x faster that previous reference-less embedded-oscillator based designs with greater than 100MHz jitter tolerance bandwidth and recovers error-free data over VSR-C2C channels. It achieves a power-efficiency of 2.9pJ/b while recovering error-free data (BER 200MHz and the INL of the ILO-based phase-rotator (32- Steps/UI) is <1-LSB. Lastly, this thesis develops a time-domain delay-based modeling of injection locking to describe injection-locking phenomena in nonharmonic oscillators. The model is used to predict the locking bandwidth, and the locking dynamics of the locked oscillator. The model predictions are verified against simulations and measurements of a four-stage differential ring oscillator. The model is further used to predict the injection-locking behavior of a single-ended CMOS inverter based ring oscillator, the lock range of a multi-phase injection-locked ring-oscillator-based prescaler, as well as the dynamics of tracking injection phase perturbations in injection-locked masterslave oscillators; demonstrating its versatility in application to any nonharmonic oscillator

A 1.8-pJ/b, 12.5-25-Gb/s wide range all-digital clock and data recovery circuit

Recently, there has been a strong drive to replace established analog circuits for multi-gigabit clock and data recovery (CDR) by more digital solutions. We focused on phase locked loop-based all-digital CDR (AD-CDR) techniques which contain a digital loop filter (DLF) and a digital controlled oscillator (DCO) and pushed the digital integration up to a level where our DLF is entirely synthesized. To enable this, we found that extensive subsampling can be used to decrease the speed of the DLF while maintaining a good operation. Additionally, an Inverse Alexander phase detector and a 5.5-bit resolution DCO complete the AD-CDR architecture. As a result of the low complexity and digital architecture, the AD-CDR occupies a compact active chip area of 0.050 mm(2) and consumes only 46 mW at 25 Gb/s. This is the smallest area and the lowest power consumption compared with the state-of-the-art. In addition, our implementation is highly tunable due to the synthesized logic, and supports a wide operating range (12.5-25 Gb/s), which is a significantly larger range compared with the previous work. Finally, thanks to our digital architecture, the power dissipation decreases linearly while moving to the lower speeds of our operating range. This is in contrast with the most prior work, making our design truly adaptive

최적에 가까운 타이밍 적응을 위해 치우친 데이터 레벨과 눈 경사 디텍터를 사용한 최대 눈크기추적 클럭 및 데이터 복원회로 설계

학위논문 (박사) -- 서울대학교 대학원 : 공과대학 전기·정보공학부, 2021. 2. 정덕균.이 논문에서는 최소-비트 비트 에러율 (BER)에 대한 최대 눈크기 추적 CDR (MET-CDR)의 설계가 제안되었다. 제안 된 CDR 은 최적의 샘플링 단계를 찾기 위해 반복 절차를 가진 BER 카운터 또는 아이 모니터가 필 요하지 않다. 에러 샘플러 출력에 가중치를 두어 더하여 얻은 치우친 데 이터 레벨 (biased dLev) 은 사전 커서 ISI(pre-cursor ISI) 의 정보도 고려한 눈 높이 정보를 추출한다. 델타 T 만큼의 시간 차이를 둔 지점에서 작동 하는 두 샘플러는 현재 눈 높이와 눈 기울기의 극성을 감지하고, 이 정보 를 통해 제안하는 CDR 은 눈 기울기가 0 이되는 최대 눈 높이로 수렴한 다. 측정 결과는 최대 눈 높이와 최소 BER 의 샘플링 위치가 잘 일치 함 을 보여준다. 28nm CMOS 공정으로 구현된 수신기 칩은 23.5dB 의 채널 손실이 있는 상태에서 26Gb/s 에서 동작 가능하다. 0.25UI 의 아이 오프닝 을 가지며, 87mW 의 파워를 소비한다.In this thesis, design of a maximum-eye-tracking CDR (MET-CDR) for minimum bit error rate (BER) is proposed. The proposed CDR does not require a BER coun-ter or an eye-opening monitor with any iterative procedure to find the near-optimal sampling phase. The biased data-level obtained from the weighted sum of error sampler outputs, UP and DN, extracts the actual eye height information in the presence of pre-cursor ISI. Two samplers operating on two slightly different tim-ings detect the current eye height and the polarity of the eye slope so that the CDR tracks the maximum eye height where the slope becomes zero. Measured results show that the sampling phase of the maximum eye height and that of the mini-mum BER match well. A prototype receiver fabricated in 28 nm CMOS process operates at 26 Gb/s with an eye-opening of 0.25 UI and consumes 87 mW while equalizing 23.5 dB of loss at 13 GHz.ABSTRACT I CONTENTS II LIST OF FIGURES IV LIST OF TABLES VIII CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 4 CHAPTER 2 BACKGROUNDS 5 2.1 RECEIVER FRONT-END 5 2.1.1 CHANNEL 7 2.1.2 EQUALIZER 17 2.1.3 CDR 32 2.2 PRIOR ARTS ON CLOCK RECOVERY 39 2.2.1 BB-CDR 39 2.2.2 BER-BASED CDR 41 2.2.3 EOM-BASED CDR 44 2.3 CONCEPT OF THE PROPOSED CDR 47 CHAPTER 3 MAXIMUM-EYE-TRACKING CDR WITH BIASED DATA-LEVEL AND EYE SLOPE DETECTOR 49 3.1 OVERVIEW 49 3.2 DESIGN OF MET-CDR 50 3.2.1 EYE HEIGHT INFORMATION FROM BIASED DATA-LEVEL 50 3.2.2 EYE SLOPE DETECTOR AND ADAPTATION ALGORITHM 60 3.2.3 ARCHITECTURE AND IMPLEMENTATION 67 3.2.4 VERIFICATION OF THE ALGORITHM 71 3.2.5 ANALYSIS ON THE BIASED DATA-LEVEL 76 3.3 EXPANSION OF MET-CDR TO PAM4 SIGNALING 84 3.3.1 MET-CDR WITH PAM4 84 3.3.2 CONSIDERATIONS FOR PAM4 87 CHAPTER 4 MEASUREMENT RESULTS 89 CHAPTER 5 CONCLUSION 99 APPENDIX A MATLAB CODE FOR SIMULATING RECEIVER WITH MET-CDR 100 BIBLIOGRAPHY 105 초 록 113Docto

A 40-Gb/s Quarter-Rate SerDes Transmitter and Receiver Chipset in 65-nm CMOS

This paper presents a 40-Gb/s transmitter (TX) and receiver (RX) chipset for chip-to-chip communications in a 65-nm CMOS process. The TX implements a quarter-rate multi-multiplexer (MUX)-based four-tap feed-forward equalizer (FFE), where a charge-sharing-effect elimination technique is introduced into the 4:1 MUX to optimize its jitter performance and power efficiency. The RX employs a two-stage continuous-time linear equalizer as the analog front end and integrates a low-cost sign-based zero-forcing engine relying on edge-data correlation to automatically adjust the tap weights of the TX-FFE. By embedding low-pass filters with an adaptively adjusting bandwidth into the data-sampling path and adopting high-linearity compensating phase interpolators, the clock data recovery achieves both high jitter tolerance and low jitter generation. The fabricated TX and RX chipset delivers 40-Gb/s PRBS data at BER 16-dB loss at half-baud frequency, while consuming a total power of 370 mW

Synchronous subnanosecond clock and data recovery for optically switched data centres using clock phase caching

The rapid growth in the amount of data being transferred within data centres, combined with the slowdown in Moore’s Law, creates challenges for the future scalability of electronically switched data-centre networks. Optical switches could offer a future-proof alternative, and photonic integration platforms have been demonstrated with nanosecond-scale optical switching times. End-to-end switching time is, however, currently limited by the clock and data recovery time, which typically takes microseconds, removing the benefits of nanosecond optical switching. Here we show that a clock phase caching technique can provide clock and data recovery times of under 625 ps (16 symbols at 25.6 Gb s−1). Our approach uses the measurement and storage of clock phase values in a synchronized network to simplify clock and data recovery versus conventional asynchronous approaches. We demonstrate the capabilities of our technique using a real-time prototype with commercial transceivers and validate its resilience against temperature variation and clock jitter

최적 위상 검출 회로를 이용한 클럭 및 데이터 복원 회로에 관한 연구

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2014. 8. 김재하.Bang-bang phase detectors are widely used for today's high-speed communication circuits such as phase-locked loops (PLLs), delay-locked loops (DLLs) and clock-and-data recovery loops (CDRs) because it is simple, fast, accurate and amenable to digital implementations. However, its hard nonlinearity poses difficulties in design and analyses of the bang-bang controlled timing loops. Especially, dithering in bang-bang controlled CDRs sets conflicting requirements on the phase adjustment resolution as one tries to maximize the tracking bandwidth and minimize jitter. A fine phase step is helpful to minimize the dithering, but it requires circuits with finer resolution that consumes large power and area. In this background, this dissertation introduces an optimal phase detection technique that can minimize the effect of dithering without requiring fine phase resolution. A novel phase interval detector that looks for a phase interval enclosing the desired lock point is shown to find the optimal phase that minimizes the timing error without dithering. A digitally-controlled, phase-interpolating DLL-based CDR fabricated in 65nm CMOS demonstrates that it can achieve small area of 0.026mm^2 and low jitter of 41mUIp-p with a coarse phase adjustment step of 0.11UI, while dissipating only 8.4mW at 5Gbps. For the theoretic basis, various analysis techniques to understand bang-bang controlled timing loops are also presented. The proposed techniques are explained for both linearized loop and non-linear one, and applied to the evaluation of the proposed phase detection technique.1 Introduction 1 1.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Thesis Contribution and Organization . . . . . . . . . . . . . . . . . 6 2 Pseudo-Linear Analysis of Bang-Bang Controlled Loops 9 2.1 Model of a Second-Order, Bang-Bang Controlled Timing Loop . . . 9 2.2 Necessary Condition for the Pseudo-Linear Analysis . . . . . . . . . 12 2.3 Derivation of Necessity Condition for the Pseudo-Linear Analysis . . 17 2.4 A Linearized Model of the Bang-Bang Phase Detector . . . . . . . . 18 2.5 Linearized Gain of a Bang-Bang Phase Detector for Jitter Transfer and Jitter Generation Analyses . . . . . . . . . . . . . . . . . . . . . 21 2.6 Jitter Transfer and Jitter Generation Analyses . . . . . . . . . . . . 29 2.7 Linearized Gains of a Bang-bang Phase Detector for Jitter Tolerance Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.8 Jitter Tolerance Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 41 3 Nonlinear Analysis of Bang-Bang Controlled Loops 48 3.1 Transient Analysis of Bang-Bang Controlled Timing Loops . . . . . 48 3.2 Phase-portrait Analysis of Bang-Bang Controlled Timing Loops . . . 51 3.3 Markov-chain Analysis of Bang-Bang Controlled Timing Loops . . . 53 3.4 Analysis of Clock-and-Data Recovery Circuits . . . . . . . . . . . . . 57 3.4.1 Prediction of Bit-Error Rate . . . . . . . . . . . . . . . . . . 57 3.4.2 Eect of Transition Density . . . . . . . . . . . . . . . . . . . 58 3.4.3 Eect of Decimation . . . . . . . . . . . . . . . . . . . . . . . 61 3.4.4 Analysis of Oversampling Phase Detectors . . . . . . . . . . . 66 4 Design of Ditherless Clock and Data Recovery Circuit 75 4.1 Optimal Phase Detection . . . . . . . . . . . . . . . . . . . . . . . . 75 4.2 Proposed Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . 81 4.3 Analysis of the CDR with Phase Interval Detection . . . . . . . . . . 84 4.4 Circuit Implementation . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.4.1 Sampling Receiver . . . . . . . . . . . . . . . . . . . . . . . . 89 4.4.2 Phase Detector . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.4.3 Digital Loop Filter . . . . . . . . . . . . . . . . . . . . . . . . 95 4.4.4 Phase Locked-Loop . . . . . . . . . . . . . . . . . . . . . . . . 98 4.4.5 Phase Interpolator . . . . . . . . . . . . . . . . . . . . . . . . 99 4.5 Built-In Self-Test Circuit for Jitter Tolerance Measurement . . . . . 102 4.6 Measurement Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5 Conclusion 114 References 116Docto