EffiTest: Efficient Delay Test and Statistical Prediction for Configuring Post-silicon Tunable Buffers

At nanometer manufacturing technology nodes, process variations significantly affect circuit performance. To combat them, post- silicon clock tuning buffers can be deployed to balance timing bud- gets of critical paths for each individual chip after manufacturing. The challenge of this method is that path delays should be mea- sured for each chip to configure the tuning buffers properly. Current methods for this delay measurement rely on path-wise frequency stepping. This strategy, however, requires too much time from ex- pensive testers. In this paper, we propose an efficient delay test framework (EffiTest) to solve the post-silicon testing problem by aligning path delays using the already-existing tuning buffers in the circuit. In addition, we only test representative paths and the delays of other paths are estimated by statistical delay prediction. Exper- imental results demonstrate that the proposed method can reduce the number of frequency stepping iterations by more than 94% with only a slight yield loss.Comment: ACM/IEEE Design Automation Conference (DAC), June 201

로직 및 피지컬 합성에서의 타이밍 분석과 최적화

학위논문 (박사) -- 서울대학교 대학원 : 공과대학 전기·정보공학부, 2020. 8. 김태환.Timing analysis is one of the necessary steps in the development of a semiconductor circuit. In addition, it is increasingly important in the advanced process technologies due to various factors, including the increase of process–voltage–temperature variation. This dissertation addresses three problems related to timing analysis and optimization in logic and physical synthesis. Firstly, most static timing analysis today are based on conventional fixed flip-flop timing models, in which every flip-flop is assumed to have a fixed clock-to-Q delay. However, setup and hold skews affect the clock-to-Q delay in reality. In this dissertation, I propose a mathematical formulation to solve the problem and apply it to the clock skew scheduling problems as well as to the analysis of a given circuit, with a scalable speedup technique. Secondly, near-threshold computing is one of the promising concepts for energy-efficient operation of VLSI systems, but wide performance variation and nonlinearity to process variations block the proliferation. To cope with this, I propose a holistic hardware performance monitoring methodology for accurate timing prediction in a near-threshold voltage regime and advanced process technology. Lastly, an asynchronous circuit is one of the alternatives to the conventional synchronous style, and asynchronous pipeline circuit especially attractive because of its small design effort. This dissertation addresses the synthesis problem of lightening two-phase bundled-data asynchronous pipeline controllers, in which delay buffers are essential for guaranteeing the correct handshaking operation but incurs considerable area increase.타이밍 분석은 반도체 회로 개발 필수 과정 중 하나로, 최신 공정일수록 공정-전압-온도 변이 증가를 포함한 다양한 요인으로 하여금 그 중요성이 커지고 있다. 본 논문에서는 로직 및 피지컬 합성과 관련하여 세 가지 타이밍 분석 및 최적화 문제에 대해 다룬다. 첫째로, 오늘날 대부분의 정적 타이밍 분석은 모든 플립-플롭의 클럭-출력 딜레이가 고정된 값이라는 가정을 바탕으로 이루어졌다. 하지만 실제 클럭-출력 딜레이는 해당 플립-플롭의 셋업 및 홀드 스큐에 영향을 받는다. 본 논문에서는 이러한 특성을 수학적으로 정리하였으며, 이를 확장 가능한 속도 향상 기법과 더불어 주어진 회로의 타이밍 분석 및 클럭 스큐 스케쥴링 문제에 적용하였다. 둘째로, 유사 문턱 연산은 초고집적 회로 동작의 에너지 효율을 끌어 올릴 수 있다는 점에서 각광받지만, 큰 폭의 성능 변이 및 비선형성 때문에 널리 활용되고 있지 않다. 이를 해결하기 위해 유사 문턱 전압 영역 및 최신 공정 노드에서 보다 정확한 타이밍 예측을 위한 하드웨어 성능 모니터링 방법론 전반을 제안하였다. 마지막으로, 비동기 회로는 기존 동기 회로의 대안 중 하나로, 그 중에서도 비동기 파이프라인 회로는 비교적 적은 설계 노력만으로도 구현 가능하다는 장점이 있다. 본 논문에서는 2위상 묶음 데이터 프로토콜 기반 비동기 파이프라인 컨트롤러 상에서, 정확한 핸드셰이킹 통신을 위해 삽입된 딜레이 버퍼에 의한 면적 증가를 완화할 수 있는 합성 기법을 제시하였다.1 INTRODUCTION 1 1.1 Flexible Flip-Flop Timing Model 1 1.2 Hardware Performance Monitoring Methodology 4 1.3 Asynchronous Pipeline Controller 10 1.4 Contributions of this Dissertation 15 2 ANALYSIS AND OPTIMIZATION CONSIDERING FLEXIBLE FLIP-FLOP TIMING MODEL 17 2.1 Preliminaries 17 2.1.1 Terminologies 17 2.1.2 Timing Analysis 20 2.1.3 Clock-to-Q Delay Surface Modeling 21 2.2 Clock-to-Q Delay Interval Analysis 22 2.2.1 Derivation 23 2.2.2 Additional Constraints 26 2.2.3 Analysis: Finding Minimum Clock Period 28 2.2.4 Optimization: Clock Skew Scheduling 30 2.2.5 Scalable Speedup Technique 33 2.3 Experimental Results 37 2.3.1 Application to Minimum Clock Period Finding 37 2.3.2 Application to Clock Skew Scheduling 39 2.3.3 Efficacy of Scalable Speedup Technique 43 2.4 Summary 44 3 HARDWARE PERFORMANCE MONITORING METHODOLOGY AT NTC AND ADVANCED TECHNOLOGY NODE 45 3.1 Overall Flow of Proposed HPM Methodology 45 3.2 Prerequisites to HPM Methodology 47 3.2.1 BEOL Process Variation Modeling 47 3.2.2 Surrogate Model Preparation 49 3.3 HPM Methodology: Design Phase 52 3.3.1 HPM2PV Model Construction 52 3.3.2 Optimization of Monitoring Circuits Configuration 54 3.3.3 PV2CPT Model Construction 58 3.4 HPM Methodology: Post-Silicon Phase 60 3.4.1 Transfer Learning in Silicon Characterization Step 60 3.4.2 Procedures in Volume Production Phase 61 3.5 Experimental Results 62 3.5.1 Experimental Setup 62 3.5.2 Exploration of Monitoring Circuits Configuration 64 3.5.3 Effectiveness of Monitoring Circuits Optimization 66 3.5.4 Considering BEOL PVs and Uncertainty Learning 68 3.5.5 Comparison among Different Prediction Flows 69 3.5.6 Effectiveness of Prediction Model Calibration 71 3.6 Summary 73 4 LIGHTENING ASYNCHRONOUS PIPELINE CONTROLLER 75 4.1 Preliminaries and State-of-the-Art Work 75 4.1.1 Bundled-data vs. Dual-rail Asynchronous Circuits 75 4.1.2 Two-phase vs. Four-phase Bundled-data Protocol 76 4.1.3 Conventional State-of-the-Art Pipeline Controller Template 77 4.2 Delay Path Sharing for Lightening Pipeline Controller Template 78 4.2.1 Synthesizing Sharable Delay Paths 78 4.2.2 Validating Logical Correctness for Sharable Delay Paths 80 4.2.3 Reformulating Timing Constraints of Controller Template 81 4.2.4 Minimally Allocating Delay Buffers 87 4.3 In-depth Pipeline Controller Template Synthesis with Delay Path Reusing 88 4.3.1 Synthesizing Delay Path Units 88 4.3.2 Validating Logical Correctness of Delay Path Units 89 4.3.3 Updating Timing Constraints for Delay Path Units 91 4.3.4 In-depth Synthesis Flow Utilizing Delay Path Units 95 4.4 Experimental Results 99 4.4.1 Environment Setup 99 4.4.2 Piecewise Linear Modeling of Delay Path Unit Area 99 4.4.3 Comparison of Power, Performance, and Area 102 4.5 Summary 107 5 CONCLUSION 109 5.1 Chapter 2 109 5.2 Chapter 3 110 5.3 Chapter 4 110 Abstract (In Korean) 127Docto

Variability-Aware VLSI Design Automation For Nanoscale Technologies

As technology scaling enters the nanometer regime, design of large scale ICs gets more challenging due to shrinking feature sizes and increasing design complexity. Aggressive scaling causes significant degradation in reliability, increased susceptibility to fabrication and environmental randomness and increased dynamic and leakage power dissipation. In this work, we investigate these scaling issues in large scale integrated systems. This dissertation proposes to develop variability-aware design methodologies by proposing design analysis, design-time optimization, post-silicon tunability and runtime-adaptivity based optimization techniques for handling variability. We discuss our research in the area of variability-aware analysis, specifically focusing on the problem of statistical timing analysis. The first technique presents the concept of error budgeting that achieves significant runtime speedups during statistical timing analysis. The second work presents a general framework for non-linear non-Gaussian statistical timing analysis considering correlations. Further, we present our work on design-time optimization schemes that are applicable during physical synthesis. Firstly, we present a buffer insertion technique that considers wire-length uncertainty and proposes algorithms to perform probabilistic buffer insertion. Secondly, we present a stochastic optimization framework based on Monte-Carlo technique considering fabrication variability. This optimization framework can be applied to problems that can be modeled as linear programs without without imposing any assumptions on the nature of the variability. Subsequently, we present our work on post-silicon tunability based design optimization. This work presents a design management framework that can be used to balance the effort spent on pre-silicon (through gate sizing) and post-silicon optimization (through tunable clock-tree buffers) while maximizing the yield gains. Lastly, we present our work on variability-aware runtime optimization techniques. We look at the problem of runtime supply voltage scaling for dynamic power optimization, and propose a framework to consider the impact of variability on the reliability of such designs. We propose a probabilistic design synthesis technique where reliability of the design is a primary optimization metric

Variation and power issues in VLSI clock networks

Clock Distribution Network (CDN) is an important component of any synchronous logic circuit. The function of CDN is to deliver the clock signal to the clock sinks. Clock skew is defined as the difference in the arrival time of the clock signal at the clock sinks. Higher uncertainty in skew (due to PVT variations) degrades circuit performance by decreasing the maximum possible delay between any two sequential elements. Aggressive frequency scaling has also led to high power consumption especially in CDN. This dissertation addresses variation and power issues in the design of current and potential future CDN. The research detailed in this work presents algorithmic techniques for the following problems: (1) Variation tolerance in useful skew design, (2) Link insertion for buffered clock nets, (3) Methodology and algorithms for rotary clocking and (4) Clock mesh optimization for skew-power trade off. For clock trees this dissertation presents techniques to integrate the different aspects of clock tree synthesis (skew scheduling, abstract topology and layout embedding) into one framework- tolerance to variations. This research addresses the issues involved in inserting cross-links in a buffered clock tree and proposes design criteria to avoid the risk of short-circuit current. Rotary clocking is a promising new clocking scheme that consists of unterminated rings formed by differential transmission lines. Rotary clocking achieves reduction in power dissipation clock skew. This dissertation addresses the issues in adopting current CAD methodology to rotary clocks. Alternative methodology and corresponding algorithmic techniques are detailed. Clock mesh is a popular form of CDN used in high performance systems. The problem of simultaneous sizing and placement of mesh buffers in a clock mesh is addressed. The algorithms presented remove the edges from the clock mesh to trade off skew tolerance for low power. For clock trees as well as link insertion, our experiments indicate significant reduction in clock skew due to variations. For clock mesh, experimental results indicate 18.5% reduction in power with 1.3% delay penalty on a average. In summary, this dissertation details methodologies/algorithms that address two critical issues- variation and power dissipation in current and potential future CDN

Modeling and Design Techniques for 3-D ICs under Process, Voltage, and Temperature Variations

Three-dimensional (3-D) integration is a promising solution to further enhance the density and performance of modern integrated circuits (ICs). In 3-D ICs, multiple dies (tiers or planes) are vertically stacked. These dies can be designed and fabricated separately. In addition, these dies can be fabricated in different technologies. The effect of different sources of variations on 3-D circuits, consequently, differ from 2-D ICs. As technology scales, these variations significantly affect the performance of circuits. Therefore, it is increasingly important to accurately and efficiently model different sources of variations in 3-D ICs. The process, voltage, and temperature variations in 3-D ICs are investigated in this dissertation. Related modeling and design techniques are proposed to design a robust 3-D IC. Process variations in 3-D ICs are first analyzed. The effect of process variations on synchronization and 3-D clock distribution networks, is carefully studied. A novel statistical model is proposed to describe the timing variation in 3-D clock distribution networks caused by process variations. Based on this model, different topologies of 3-D clock distribution networks are compared in terms of skew variation. A set of guidelines is proposed to design 3-D clock distribution networks with low clock uncertainty. Voltage variations are described by power supply noise. Power supply noise in 3-D ICs is investigated considering different characteristics of potential 3-D power grids in this thesis. A new algorithm is developed to fast analyze the steady-state IR-drop in 3-D power grids. The first droop of power supply noise, also called resonant supply noise, is usually the deepest voltage drop in power distribution networks. The effect of resonant supply noise on 3-D clock distribution networks is investigated. The combined effect of process variations and power supply noise is modeled by skitter consisting of both skew and jitter. A novel statistical model of skitter is proposed. Based on this proposed model and simulation results, a set of guidelines has been proposed to mitigate the negative effect of process and voltage variations on 3-D clock distribution networks. Thermal issues in 3-D ICs are considered by carefully modeling thermal through silicon vias (TTSVs) in this dissertation. TTSVs are vertical vias which do not carry signals, dedicated to facilitate the propagation of heat to reduce the temperature of 3-D ICs. Two analytic models are proposed to describe the heat transfer in 3-D circuits related to TTSVs herein, providing proper closed-form expressions for the thermal resistance of the TTSVs. The effect of different physical and geometric parameters of TTSVs on the temperature of 3-D ICs is analyzed. The proposed models can be used to fast and accurately estimate the temperature to avoid the overuse of TTSVs occupying a large portion of area. A set of models and design techniques is proposed in this dissertation to describe and mitigate the deleterious effects of process, voltage, and temperature variations in 3-D ICs. Due to the continuous shrink in the feature size of transistors, the large number of devices within one circuit, and the high operating frequency, the effect of these variations on the performance of 3-D ICs becomes increasingly significant. Accurately and efficiently estimating and controlling these variations are, consequently, critical tasks for the design of 3-D ICs

Circuits and Systems Advances in Near Threshold Computing

Modern society is witnessing a sea change in ubiquitous computing, in which people have embraced computing systems as an indispensable part of day-to-day existence. Computation, storage, and communication abilities of smartphones, for example, have undergone monumental changes over the past decade. However, global emphasis on creating and sustaining green environments is leading to a rapid and ongoing proliferation of edge computing systems and applications. As a broad spectrum of healthcare, home, and transport applications shift to the edge of the network, near-threshold computing (NTC) is emerging as one of the promising low-power computing platforms. An NTC device sets its supply voltage close to its threshold voltage, dramatically reducing the energy consumption. Despite showing substantial promise in terms of energy efficiency, NTC is yet to see widescale commercial adoption. This is because circuits and systems operating with NTC suffer from several problems, including increased sensitivity to process variation, reliability problems, performance degradation, and security vulnerabilities, to name a few. To realize its potential, we need designs, techniques, and solutions to overcome these challenges associated with NTC circuits and systems. The readers of this book will be able to familiarize themselves with recent advances in electronics systems, focusing on near-threshold computing

Energy-Efficient Digital Signal Processing Hardware Design.

As CMOS technology has developed considerably in the last few decades, many SoCs have been implemented across different application areas due to reduced area and power consumption. Digital signal processing (DSP) algorithms are frequently employed in these systems to achieve more accurate operation or faster computation. However, CMOS technology scaling started to slow down recently and relatively large systems consume too much power to rely only on the scaling effect while system power budget such as battery capacity improves slowly. In addition, there exist increasing needs for miniaturized computing systems including sensor nodes that can accomplish similar operations with significantly smaller power budget. Voltage scaling is one of the most promising power saving techniques due to quadratic switching power reduction effect, making it necessary feature for even high-end processors. However, in order to achieve maximum possible energy efficiency, systems should operate in near or sub-threshold regimes where leakage takes significant portion of power. In this dissertation, a few key energy-aware design approaches are described. Considering prominent leakage and larger PVT variability in low operating voltages, multi-level energy saving techniques to be described are applied to key building blocks in DSP applications: architecture study, algorithm-architecture co-optimization, and robust yet low-power memory design. Finally, described approaches are applied to design examples including a visual navigation accelerator, ultra-low power biomedical SoC and face detection/recognition processor, resulting in 2~100 times power savings than state-of-the-art.PhDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/110496/1/djeon_1.pd

New advances in designing energy efficient time synchronization schemes for wireless sensor networks

Time synchronization in wireless sensor networks (WSNs) is essential and significant for maintaining data consistency, coordination, and performing other fundamental operations, such as power management, security, and localization. Energy efficiency is the main concern in designing time synchronization protocols for WSNs because of the limited and generally nonrechargeable power resources. In this dissertation, the problem of time synchronization is studied in three different aspects to achieve energy efficient time synchronization in WSNs. First, a family of novel joint clock offset and skew estimators, based on the classical two-way message exchange model, is developed for time synchronization in WSNs. The proposed joint clock offset and skew correction mechanisms significantly increase the period of time synchronization, which is a critical factor in the over-all energy consumption required for global network synchronization. Moreover, the Cramer-Rao bounds for the maximum likelihood estimators are derived under two different delay assumptions. These analytical metrics serve as good benchmarks for the experimental results thus far reported. Second, this dissertation proposes a new time synchronization protocol, called the Pairwise Broadcast Synchronization (PBS), which aims at minimizing the number of message transmissions and implicitly the energy consumption necessary for global synchronization of WSNs. A novel approach for time synchronization is adopted in PBS, where a group of sensor nodes are synchronized by only overhearing the timing messages of a pair of sensor nodes. PBS requires a far smaller number of timing messages than other well-known protocols and incurs no loss in synchronization accuracy. Moreover, for densely deployed WSNs, PBS presents significant energy saving. Finally, this dissertation introduces a novel adaptive time synchronization protocol, named the Adaptive Multi-hop Timing Synchronization (AMTS). According to the current network status, AMTS optimizes crucial network parameters considering the energy efficiency of time synchronization. AMTS exhibits significant benefits in terms of energy-efficiency, and can be applied to various types of sensor network applications having different requirements

Clock Polarity Assignment Methodologies for Designing High-Performance and Robust Clock Trees

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2016. 8. 김태환.In modern synchronous circuits, the system relies on one single signal, namely, the clock signal. All data sampling of flip-flops rely on the timing of the clock signal. This makes clock trees, which deliver the clock signal to every clock sink in the whole system, one of the most active components on a chip, as it must switch without halting. Naturally, this makes clock trees a primary target of optimization for low power/high performance designs. First, bounded skew clock polarity assignment is explored. Buffers in the clock tree switch simultaneously as the clock signal switch, which causes power/ground supply voltage fluctuation. This phenomenon is referred to as clock noise and brings adverse effects on circuit robustness. Clock polarity assignment technique replaces some of the buffers in the clock trees with inverters. Since buffers draw larger current at the rising edge of the clock while inverters draw larger current at the falling edge, this technique can mitigate peak noise problem at the power/ground supply rails. Second, useful skew clock polarity assignment method is developed. Useful clock skew methodology allows consideration of individual clock skew restraints between each clock sinks, allowing further noise reduction by exploiting more time slack. Through experiments with ISPD 2010 clock network synthesis contest benchmark circuits, the results show that the proposed clock polarity algorithm is able to reduce the peak noise caused by clock buffers by 10.9% further over that of the global skew bound constrained polarity assignment while satisfying all setup and hold time constraints. Lastly, as multi-corner multi-mode (MCMM) design methodologies, process variations and clock gating techniques are becoming common place in advanced technology nodes, clock polarity assignment methods that mitigate these problems are devised. Experimental results indicate that the proposed methods successfully satisfy required design constraints imposed by such variations. In summary, this dissertation presents clock polarity assignments that considers useful clock skew, delay variations, MCMM design methodologies and clock gating techniques.Chapter 1 Introduction 1 1.1 Clock Trees 1 1.2 Simultaneous Switching Noise 3 1.3 Clock Polarity Assignment Technique 4 1.4 Contributions of this Dissertation 5 Chapter 2 Clock Polarity Assignment Under Bounded Skew 7 2.1 Introduction 7 2.2 Motivational Example 9 2.3 Problem Formulation 13 2.4 Proposed Algorithm 17 2.4.1 Independence Assumption 17 2.4.2 Characterization of Noise 18 2.4.3 Overview of the Proposed Algorithm 19 2.4.4 Mapping WaveMin Problem to MOSP problem 22 2.4.5 A Fast Algorithm 26 2.4.6 Zone Sizing/Partitioning Method 27 2.5 Experimental Results 28 2.5.1 Experimental Setup 28 2.5.2 Noise Reduction 28 2.5.3 Simulation on Full Circuit 29 2.6 Effects of Clock Polarity Assignment on Simultaneous Switching Noise 34 2.6.1 Model of Power Delivery Network 34 2.6.2 Peak-to-Peak Voltage Swing 35 2.7 Effects of Decoupling Capacitors 36 2.8 Effects of Clock Polarity Assignment on Clock Jitter 40 2.8.1 Noise in Frequency Domain 40 2.9 Summary 43 Chapter 3 Clock Polarity Assignment Under Useful Skew 44 3.1 Introduction 44 3.2 Motivational Example 45 3.3 Problem Formulation 47 3.4 Proposed Algorithm 49 3.4.1 Integer Linear Programming Formulation and Linear Programming Relaxation 49 3.4.2 Formulating into Maximum Clique Problem 49 3.4.3 Scalable Algorithm for Clique Exploration 51 3.5 Experimental Results 54 3.5.1 Experimental Setup 54 3.5.2 Assessing the Performance of UsefulMin over Wavemin 56 3.6 Summary 57 Chapter 4 Extensions of Clock Polarity Assignment Methods 60 4.1 Coping With Thermal Variations 60 4.1.1 Introduction 60 4.1.2 Proposed Method 61 4.1.3 Experimental Results 66 4.2 Coping with Delay Variations 70 4.2.1 Introduction 70 4.2.2 The Impact of Process Variations on Polarity Assignment 71 4.2.3 Proposed Method for Variation Resiliency 72 4.2.4 Experimental Results 73 4.3 Coping With Multi-Mode Designs 75 4.3.1 Introduction 75 4.3.2 Proposed Method 76 4.3.3 Experimental Results 84 4.4 Orthogonality with Other Design Techniques ? Clock Gating 87 4.4.1 Introduction 87 4.4.2 Proposed Partitioning Method 87 4.4.3 Experimental Results 88 4.5 Summary 90 Chapter 5 Conclusion 92 5.1 Clock Polarity Assignment Under Bounded Skew 92 5.2 Clock Polarity Assignment Under Useful Skew 93 5.3 Extensions of Clock Polarity Assignment 93 Appendices 94 Chapter A Power Spectral Densities of ISCAS89 Circuits 95 Chapter B The Effect of Decoupling Capacitors 99 초록 109Docto