Logic design of asynchronous circuits

Summary form only given. This tutorial aims at motivating the audience to consider asynchronous circuits as a competitive alternative to solve some of the design problems inherent to submicron technologies. One of the main reasons why designers are reluctant to incorporate asynchrony in their systems is the difficulty to design asynchronous circuits. Asynchronous circuits are promising to tackle problems such as electro-magnetic interference, power consumption, performance, and modularity of digital circuits. The tutorial will introduce state-of-the-art tools and methodologies for their design. It will cover aspects such as specification, architectural design and controller synthesis tools, of asynchronous circuits. The tutorial will concentrate on a particular design methodology for control circuits based on specifications with signal transition graphs. It will also cover design strategies for the microarchitecture, data-path and control circuits that have been successfully applied in the design of the asynchronous version of the ARM microprocessor.Peer ReviewedPostprint (published version

Null convention logic circuits for asynchronous computer architecture

For most of its history, computer architecture has been able to benefit from a rapid scaling in semiconductor technology, resulting in continuous improvements to CPU design. During that period, synchronous logic has dominated because of its inherent ease of design and abundant tools. However, with the scaling of semiconductor processes into deep sub-micron and then to nano-scale dimensions, computer architecture is hitting a number of roadblocks such as high power and increased process variability. Asynchronous techniques can potentially offer many advantages compared to conventional synchronous design, including average case vs. worse case performance, robustness in the face of process and operating point variability and the ready availability of high performance, fine grained pipeline architectures. Of the many alternative approaches to asynchronous design, Null Convention Logic (NCL) has the advantage that its quasi delay-insensitive behavior makes it relatively easy to set up complex circuits without the need for exhaustive timing analysis. This thesis examines the characteristics of an NCL based asynchronous RISC-V CPU and analyses the problems with applying NCL to CPU design. While a number of university and industry groups have previously developed small 8-bit microprocessor architectures using NCL techniques, it is still unclear whether these offer any real advantages over conventional synchronous design. A key objective of this work has been to analyse the impact of larger word widths and more complex architectures on NCL CPU implementations. The research commenced by re-evaluating existing techniques for implementing NCL on programmable devices such as FPGAs. The little work that has been undertaken previously on FPGA implementations of asynchronous logic has been inconclusive and seems to indicate that asynchronous systems cannot be easily implemented in these devices. However, most of this work related to an alternative technique called bundled data, which is not well suited to FPGA implementation because of the difficulty in controlling and matching delays in a 'bundle' of signals. On the other hand, this thesis clearly shows that such applications are not only possible with NCL, but there are some distinct advantages in being able to prototype complex asynchronous systems in a field-programmable technology such as the FPGA. A large part of the value of NCL derives from its architectural level behavior, inherent pipelining, and optimization opportunities such as the merging of register and combina- tional logic functions. In this work, a number of NCL multiplier architectures have been analyzed to reveal the performance trade-offs between various non-pipelined, 1D and 2D organizations. Two-dimensional pipelining can easily be applied to regular architectures such as array multipliers in a way that is both high performance and area-efficient. It was found that the performance of 2D pipelining for small networks such as multipliers is around 260% faster than the equivalent non-pipelined design. However, the design uses 265% more transistors so the methodology is mainly of benefit where performance is strongly favored over area. A pipelined 32bit x 32bit signed Baugh-Wooley multiplier with Wallace-Tree Carry Save Adders (CSA), which is representative of a real design used for CPUs and DSPs, was used to further explore this concept as it is faster and has fewer pipeline stages compared to the normal array multiplier using Ripple-Carry adders (RCA). It was found that 1D pipelining with ripple-carry chains is an efficient implementation option but becomes less so for larger multipliers, due to the completion logic for which the delay time depends largely on the number of bits involved in the completion network. The average-case performance of ripple-carry adders was explored using random input vectors and it was observed that it offers little advantage on the smaller multiplier blocks, but this particular timing characteristic of asynchronous design styles be- comes increasingly more important as word size grows. Finally, this research has resulted in the development of the first 32-Bit asynchronous RISC-V CPU core. Called the Redback RISC, the architecture is a structure of pipeline rings composed of computational oscillations linked with flow completeness relationships. It has been written using NELL, a commercial description/synthesis tool that outputs standard Verilog. The Redback has been analysed and compared to two approximately equivalent industry standard 32-Bit synchronous RISC-V cores (PicoRV32 and Rocket) that are already fabricated and used in industry. While the NCL implementation is larger than both commercial cores it has similar performance and lower power compared to the PicoRV32. The implementation results were also compared against an existing NCL design tool flow (UNCLE), which showed how much the results of these implementation strategies differ. The Redback RISC has achieved similar level of throughput and 43% better power and 34% better energy compared to one of the synchronous cores with the same benchmark test and test condition such as input sup- ply voltage. However, it was shown that area is the biggest drawback for NCL CPU design. The core is roughly 2.5× larger than synchronous designs. On the other hand its area is still 2.9× smaller than previous designs using UNCLE tools. The area penalty is largely due to the unavoidable translation into a dual-rail topology when using the standard NCL cell library

Elastic circuits

Elasticity in circuits and systems provides tolerance to variations in computation and communication delays. This paper presents a comprehensive overview of elastic circuits for those designers who are mainly familiar with synchronous design. Elasticity can be implemented both synchronously and asynchronously, although it was traditionally more often associated with asynchronous circuits. This paper shows that synchronous and asynchronous elastic circuits can be designed, analyzed, and optimized using similar techniques. Thus, choices between synchronous and asynchronous implementations are localized and deferred until late in the design process.Peer ReviewedPostprint (published version

Asynchronous design of a multi-dimensional logarithmic number system processor for digital hearing instruments.

This thesis presents an asynchronous Multi-Dimensional Logarithmic Number System (MDLNS) processor that exhibits very low power dissipation. The target application is for a hearing instrument DSP. The MDLNS is a newly developed number system that has the advantage of reducing hardware complexity compared to the classical Logarithmic Number System (LNS). A synchronous implementation of a 2-digit 2DLNS filterbank, using the MDLNS to construct a FIR filterbank, has successfully proved that this novel number representation can benefit this digital hearing instrument application in the requirement of small size and low power. In this thesis we demonstrate that the combination of using the MDLNS, along with an asynchronous design methodology, produces impressive power savings compared to the previous synchronous design. A 4-phase bundled-data full-handshaking protocol is applied to the asynchronous control design. We adopt the Differential Cascade Voltage Switch Logic (DCVSL) circuit family for the design of the computation cells in this asynchronous MDLNS processor. Besides the asynchronous design methodology, we also use finite ring calculations to reduce adder bit-width to provide improvements compared to the previous MDLNS filterbank architecture. Spectre power simulation results from simulations of this asynchronous MDLNS processor demonstrate that over 70 percent power savings have been achieved compared to the synchronous design. This full-custom asynchronous MDLNS processor has been submitted for fabrication in the TSMC 0.18mum CMOS technology. A further contribution in this thesis is the development of a novel synchronizing method of design for testability (DfT), which is offered as a possible solution for asynchronous DfT methods.Dept. of Electrical and Computer Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2004 .W85. Source: Masters Abstracts International, Volume: 43-01, page: 0288. Advisers: G. A. Jullien; W. C. Miller. Thesis (M.A.Sc.)--University of Windsor (Canada), 2004

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

Circuiti asincroni: dai principi fondamentali all'implementazione

La maggioranza dei circuiti commercializzati al giorno d'oggi è di tipo sincrono. Negli ultimi anni però, questa tecnologia si è trovata a dover affrontare notevoli problemi legati al consumo di potenza e alle crescenti difficoltà di gestione del clock, in circuiti sempre più piccoli e densi. Per ovviare a queste problematiche, che richiedono soluzioni tecnicamente complesse e dispendiose, i costruttori stanno portando l'attenzione sull'approccio asincrono che, privo di clock, promette di ridurre i consumi e velocizzare i circuiti. La mancanza di esperienza, strumenti e motivazioni adeguate rende però molto difficile una migrazione totale da un paradigma all'altro. La tecnologia che sembra destinata a prendere piede in questo contesto è quindi l'approccio ibrido Globally Asynchronous, Locally Synchronous. Importanti produttori sono impegnati nella ricerca in questo settore, che è ancora in piena fase evolutiva. Il presente lavoro è diviso in due parti: nella prima offriremo un quadro generale sui fondamenti della tecnologia asincrona e, nella seconda, vedremo esempi di design che rappresentano l'attuale stato dell'arteope

CAD Tools for Synthesis of Sleep Convention Logic

This dissertation proposes an automated flow for the Sleep Convention Logic (SCL) asynchronous design style. The proposed flow synthesizes synchronous RTL into an SCL netlist. The flow utilizes commercial design tools, while supplementing missing functionality using custom tools. A method for determining the performance bottleneck in an SCL design is proposed. A constraint-driven method to increase the performance of linear SCL pipelines is proposed. Several enhancements to SCL are proposed, including techniques to reduce the number of registers and total sleep capacitance in an SCL design

Design and performance optimization of asynchronous networks-on-chip

As digital systems continue to grow in complexity, the design of conventional synchronous systems is facing unprecedented challenges. The number of transistors on individual chips is already in the multi-billion range, and a greatly increasing number of components are being integrated onto a single chip. As a consequence, modern digital designs are under strong time-to-market pressure, and there is a critical need for composable design approaches for large complex systems. In the past two decades, networks-on-chip (NoC’s) have been a highly active research area. In a NoC-based system, functional blocks are first designed individually and may run at different clock rates. These modules are then connected through a structured network for on-chip global communication. However, due to the rigidity of centrally-clocked NoC’s, there have been bottlenecks of system scalability, energy and performance, which cannot be easily solved with synchronous approaches. As a result, there has been significant recent interest in combing the notion of asynchrony with NoC designs. Since the NoC approach inherently separates the communication infrastructure, and its timing, from computational elements, it is a natural match for an asynchronous paradigm. Asynchronous NoC’s, therefore, enable a modular and extensible system composition for an ‘object-orient’ design style. The thesis aims to significantly advance the state-of-art and viability of asynchronous and globally-asynchronous locally-synchronous (GALS) networks-on-chip, to enable high-performance and low-energy systems. The proposed asynchronous NoC’s are nearly entirely based on standard cells, which eases their integration into industrial design flows. The contributions are instantiated in three different directions. First, practical acceleration techniques are proposed for optimizing the system latency, in order to break through the latency bottleneck in the memory interfaces of many on-chip parallel processors. Novel asynchronous network protocols are proposed, along with concrete NoC designs. A new concept, called ‘monitoring network’, is introduced. Monitoring networks are lightweight shadow networks used for fast-forwarding anticipated traffic information, ahead of the actual packet traffic. The routers are therefore allowed to initiate and perform arbitration and channel allocation in advance. The technique is successfully applied to two topologies which belong to two different categories – a variant mesh-of-trees (MoT) structure and a 2D-mesh topology. Considerable and stable latency improvements are observed across a wide range of traffic patterns, along with moderate throughput gains. Second, for the first time, a high-performance and low-power asynchronous NoC router is compared directly to a leading commercial synchronous counterpart in an advanced industrial technology. The asynchronous router design shows significant performance improvements, as well as area and power savings. The proposed asynchronous router integrates several advanced techniques, including a low-latency circular FIFO for buffer design, and a novel end-to-end credit-based virtual channel (VC) flow control. In addition, a semi-automated design flow is created, which uses portions of a standard synchronous tool flow. Finally, a high-performance multi-resource asynchronous arbiter design is developed. This small but important component can be directly used in existing asynchronous NoC’s for performance optimization. In addition, this standalone design promises use in opening up new NoC directions, as well as for general use in parallel systems. In the proposed arbiter design, the allocation of a resource to a client is divided into several steps. Multiple successive client-resource pairs can be selected rapidly in pipelined sequence, and the completion of the assignments can overlap in parallel. In sum, the thesis provides a set of advanced design solutions for performance optimization of asynchronous and GALS networks-on-chip. These solutions are at different levels, from network protocols, down to router- and component-level optimizations, which can be directly applied to existing basic asynchronous NoC designs to provide a leap in performance improvement

On Multicast in Asynchronous Networks-on-Chip: Techniques, Architectures, and FPGA Implementation

In this era of exascale computing, conventional synchronous design techniques are facing unprecedented challenges. The consumer electronics market is replete with many-core systems in the range of 16 cores to thousands of cores on chip, integrating multi-billion transistors. However, with this ever increasing complexity, the traditional design approaches are facing key issues such as increasing chip power, process variability, aging, thermal problems, and scalability. An alternative paradigm that has gained significant interest in the last decade is asynchronous design. Asynchronous designs have several potential advantages: they are naturally energy proportional, burning power only when active, do not require complex clock distribution, are robust to different forms of variability, and provide ease of composability for heterogeneous platforms. Networks-on-chip (NoCs) is an interconnect paradigm that has been introduced to deal with the ever-increasing system complexity. NoCs provide a distributed, scalable, and efficient interconnect solution for today’s many-core systems. Moreover, NoCs are a natural match with asynchronous design techniques, as they separate communication infrastructure and timing from the computational elements. To this end, globally-asynchronous locally-synchronous (GALS) systems that interconnect multiple processing cores, operating at different clock speeds, using an asynchronous NoC, have gained significant interest. While asynchronous NoCs have several advantages, they also face a key challenge of supporting new types of traffic patterns. Once such pattern is multicast communication, where a source sends packets to arbitrary number of destinations. Multicast is not only common in parallel computing, such as for cache coherency, but also for emerging areas such as neuromorphic computing. This important capability has been largely missing from asynchronous NoCs. This thesis introduces several efficient multicast solutions for these interconnects. In particular, techniques, and network architectures are introduced to support high-performance and low-power multicast. Two leading network topologies are the focus: a variant mesh-of-trees (MoT) and a 2D mesh. In addition, for a more realistic implementation and analysis, as well as significantly advancing the field of asynchronous NoCs, this thesis also targets synthesis of these NoCs on commercial FPGAs. While there has been significant advances in FPGA technologies, there has been only limited research on implementing asynchronous NoCs on FPGAs. To this end, a systematic computeraided design (CAD) methodology has been introduced to efficiently and safely map asynchronous NoCs on FPGAs. Overall, this thesis makes the following three contributions. The first contribution is a multicast solution for a variant MoT network topology. This topology consists of simple low-radix switches, and has been used in high-performance computing platforms. A novel local speculation technique is introduced, where a subset of the network’s switches are speculative that always broadcast every packet. These switches are very simple and have high performance. Speculative switches are surrounded by non-speculative ones that route packets based on their destinations and also throttle any redundant copies created by the former. This hybrid network architecture achieved significant performance and power benefits over other multicast approaches. The second contribution is a multicast solution for a 2D-mesh topology, which is more complex with higher-radix switches and also is more commonly used. A novel continuous-time replication strategy is introduced to optimize the critical multi-way forking operation of a multicast transmission. In this technique, a multicast packet is first stored in an input port of a switch, from where it is sent through distinct output ports towards different destinations concurrently, at each output’s own rate and in continuous time. This strategy is shown to have significant latency and energy benefits over an approach that performs multicast using multiple distinct serial unicasts to each destination. Finally, a systematic CAD methodology is introduced to synthesize asynchronous NoCs on commercial FPGAs. A two-fold goal is targeted: correctness and high performance. For ease of implementation, only existing FPGA synthesis tools are used. Moreover, since asynchronous NoCs involve special asynchronous components, a comprehensive guide is introduced to map these elements correctly and efficiently. Two asynchronous NoC switches are synthesized using the proposed approach on a leading Xilinx FPGA in 28 nm: one that only handles unicast, and the other that also supports multicast. Both showed significant energy benefits with some performance gains over a state-of-the-art synchronous switch