Multi-operand Decimal Adder Trees for FPGAs

The research and development of hardware designs for decimal arithmetic is currently going under an intense activity. For most part, the methods proposed to implement fixed and floating point operations are intended for ASIC designs. Thus, a direct mapping or adaptation of these techniques into a FPGA could be far from an optimal solution. Only a few studies have considered new methods more suitable for FPGA implementations. A basic operation that has not received enough attention in this context is multi-operand BCD addition. For example, it is of interest for low latency implementations of decimal fixed and floating point multipliers and decimal fused multiply-add units. We have explored the most representative proposals for multi-operand BCD addition and found that the resultant implementations in FPGAs are still very inefficient in terms of both area and latency when compared to their binary counterparts. In this paper we present a new method for fast and efficient implementation of multi-operand BCD addition in current FPGA devices. In particular, our proposal maps quite well into the slice structure of the Xilinx Virtex-5/Virtex-6 families and it is highly pipelineable. The synthesis results for a Virtex-6 device indicate that our implementations halve the area and latency of previous proposals, presenting area and delay figures close to those of optimal binary adder trees.La recherche sur l'implantation en matériel de l'arithmétique décimale est actuellement très active, la plupart des travaux portant sur des opérateurs pour les processeurs, en virgule fixe ou flottante. Mais les techniques développées pour un circuit intégré n'aboutissent pas forcément à une implémentation optimale dans un FPGA. Il n'y a que peu d'études ciblant explicitement les FPGA. Cet article s'intéresse dans ce contexte, à l'addition BCD multi-opérande, au cœur de multiplieurs et de multiplieurs-accumulateurs à faible latence. Nous étudions les architectures proposées pour cette opération décimale, et nous observons que, sur FPGA, leur performance (surface et latence) est très inférieure à celle des opérations binaire à précision comparable. Nous présentons donc dans cet article une nouvelle technique d'addition BCD multi-opérandes qui s'avère plus efficace que les propositions précédentes sur les FPGA actuels. Elle s'adapte particulièrement bien à la structure fine des FPGA Xilinx Virtex-5/Virtex-6, et se prête bien au pipeline. Les résultats de synthèse montrent que notre implémentation divise par deux la surface et la latence par rapport aux propositions précédentes, les ramenant à des valeurs comparables à celles des meilleurs additionneurs multi-opérandes binaires

Design and Optimization of Adaptable BCH Codecs for NAND Flash Memories

NAND flash memories represent a key storage technology for solid-state storage systems. However, they suffer from serious reliability and endurance issues that must be mitigated by the use of proper error correction codes. This paper proposes the design and implementation of an optimized Bose-Chaudhuri-Hocquenghem hardware codec core able to adapt its correction capability in a range of predefined values. Code adaptability makes it possible to efficiently trade-off, in-field reliability and code complexity. This feature is very important considering that the reliability of a NAND flash memory continuously decreases over time, meaning that the required correction capability is not fixed during the life of the device. Experimental results show that the proposed architecture enables to save resources when the device is in the early stages of its lifecycle, while introducing a limited overhead in terms of are

저전력 고성능 디지털 시스템을 위한 고신뢰도의 클럭 네트워크 설계 방법론

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2015. 8. 김태환.오늘날의 회로 설계에서 공정변이가 회로 클럭의 타이밍의 변이에 미치는 영향은 매우 커짐에 따라, 전통적으로 사용되던 클럭 트리 구조를 기반으로 한 클럭 네트워크를 사용하는 것은 한계에 부딪히게 되었고, 이를 극복하기 위한 여러가지 기술들이 제안되었다. 본 논문에서는 변이에 강한 클럭 네트워크를 설계하기 위해, 연구 및 사용되고 있는 세 가지 기술에 대해 소개하고, 이들을 개선한 연구들을 제안한다. 첫째로, 이 논문에서는 클럭의 타이밍 문제를 회로 제작 이후 단계에서 조정할 수 있는 포스트 실리콘 조정 클럭 버퍼를 배치하는 문제에 대해 서술한다. 포스트 실리콘 조정 버퍼는 클럭의 지연시간을 회로가 제작된 이후의 단계에서 조정하 여 클럭의 타이밍 문제를 해결할 수 있지만, 버퍼 자체의 크기 때문에 최소한의 개수만 가장 효율적인 위치에 배치해야 하는 문제가 있다. 본 논문에서는 이전의 연구가 회로의 수율을 계산할 때 시간이 많이 걸리는 몬테-카를로 시뮬레이션을 사용하기 때문에 탐색 가능한 포스트 실리콘 조정 버퍼의 배치가 제한되는 문제가 있음을 지적한 후, 기존에 제안되었던 그래프 기반 회로 수율 계산 기법을 사용하여 효율적인 포스트 실리콘 조정 버퍼 배치를 찾을 수 있는 점진적이고 체계적인 방법을 제시한다. 다음은 클럭 시차 스케쥴링 방법에 대한 연구를 서술한다. 최근의 연구에서 제안되었던, 플립-플롭의 클럭에서 출력까지의 딜레이가 클럭의 준비시간과 유지시간에 의존한다는 유연한 플립-플롭 타이밍 모델 연구는 기존의 플립-플롭의 타이밍 특성들이 고정된 값이라는 가정에 기반한 정적 타이밍 분석의 정확성 문제를 해결할 수 있는 중요한 연구이다. 본 논문에서는 새로운 모델을 고려하여, 이전에 고전적인 플립-플롭 타이밍 특성 모델을 기반으로 진행되었던 클럭 시차 스케쥴링의 최적화 문제를 유연한 플립-플롭 타이밍 모델을 고려하여 해결하였다. 본 연구에서는 주어진 회로의 준비시간과 유지시간의 여유시간을 반복적이고 체계적으로 최대화하여 문제를 해결하였다. 마지막으로 클럭 스파인 네트워크의 합성을 자동화하는 문제에 대해 서술한다. 전통적인 클럭 트리 구조가 공정변이 문제를 해결하지 못했기 때문에 클럭 메쉬를 포함하는 다양한 대안적 구조가 제안되었다. 클럭 메쉬의 경우 공정변이에 의한 클럭 시차를 줄일 수 있었지만 이를 위해 와이어나 버퍼 등의 자원을 많이 소모하는 문제를 가지고 있다. 두 구조의 중간적 구조에는 클럭 트리의 노드를 연결하는 크로스 링크를 삽입하는 구조와 클럭 스파인 구조가 있다. 클럭 트리에 점진적인 수정을 가하여 만드는 크로스 링크와 달리, 클럭 스파인 구조는 트리나 이후에 제안된 메쉬와는 완전히 별개의 구조로, 이를 합성하는 방법도 매우 다르다. 그렇기 때문에 클럭 스파인을 합성하는 알고리즘은 필수적이라고 할 수 있으나, 합성 방법론이나 이를 자동화하는 방법에 관한 연구는 아직 없다. 본 논문에서는 우선, 클럭-게이팅을 지원하는 클럭 스파인을 주어진 클럭 시차 및 클럭 슬루 조건을 만족하면서 자원 및 전력 소모량을 최소화하는 문제에 대해 서술한다. 그리고, 회로에서 주어진 플립-플롭들을 클럭-게이팅 조건에서의 연관성을 고려하고 조직화하여 클럭 스파인을 삽입한 후, 클럭 시차 및 슬루 조건을 고려하여 버퍼를 삽입하는 알고리즘을 제안한다. 요약하면, 본 논문에서는 클럭의 타이밍 문제를 해결하기 위해 포스트-실리콘 조정 클럭 버퍼를 사용하는 테크닉과 클럭 시차 스케쥴링을 유연한 플립-플롭 타이밍 모델에서 적용하는 테크닉을 제시하고, 클럭의 타이밍 문제와 전력 소모 문제를 한번에 해결하기 위한 새로운 클럭 스파인 네트워크를 합성하는 자동화 알고리즘을 제시한다.As the process variation is dominating to cause the clock timing variation among chips to be much large, conventional clock tree based clock network is not able to guarantee the timing constraint of a digital system. To overcome the limitations of traditional clock design techniques, various techniques have been studied. This dissertation addresses three techniques that have been widely used for designing robust clock network and proposes developed methods. First, it is widely accepted that post-silicon tunable (PST) clock buffers can effectively resolve the clock timing violation. Since PST buffers, which can reset the clock delay to flip-flops after the chip is manufactured, impose a non-trivial implementation area and control circuitry, it is very important to minimally allocate PST buffers while satisfying the chip yield constraint. In this dissertation, we (1) develop a graph-based chip yield computation technique which can update yields very efficiently and accurately for incremental PST buffer allocation, based on which we (2) propose a systematic (bottom-up and top-down with refinement) PST buffer allocation algorithm that is able to fully explore the design space of PST buffer allocation. Second, clock skew scheduling is one of the essential steps that must be carefully performed during the design process. This dissertation addresses the clock skew optimization problem integrated with the consideration of the interdependent relation between the setup and hold skews, and clk-to-Q delay of flip-flops, so that the time margin is more accurately and reliably set aside over that of the previous methods, which have never taken the integrated problem into account. Precisely, based on an accurate flexible model of setup skew, hold skew, and clk-to-Q delay, we propose a stepwise clock skew scheduling technique in which at each iteration, the worst slack of setup and hold skews is systematically and incrementally relaxed to maximally extend the time margin. Lastly, clock tree with cross links and clock spine have an intermediate characteristics for skew tolerance and power consumption, compared to clock tree and clock mesh which are two extreme structures of clock network. Unlike the clock tree with links between clock nodes, which is a sort of an incremental modification of the structure of clock tree, clock spine network is a completely separated structure from the structures of tree and mesh. Consequently, it is necessary and essential to develop a synthesis algorithm for clock spines, which will be compatible to the existing synthesis algorithms of clock trees and clock meshes. To this end, this dissertation first addresses the problem of automating the synthesis of clock-gated clock spines with the objective of minimizing total clock power while meeting the clock skew and slew constraints. The key idea of our proposed synthesis algorithm is to identify and group the flip-flops with tight correlation of clock-gating operations together to form a spine while accurately predicting and maintaining clock skew and slew variations through the buffer insertion and stub allocation. In summary, this dissertation presents clock tuning techniques with consideration of post-silicon tuning, flexible flip-flop timing model, and clock-gated clock spine synthesis algorithm.Abstract i Chapter 1 INTRODUCTION 1 1.1 Clock Distribution Network . . . . . . . . . . . . . . . . . . . . . 1 1.2 Process Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Flexible Flip-flop Timing Model . . . . . . . . . . . . . . . . . . . 3 1.4 Clock Spine . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.5 Contributions of This Dissertation . . . . . . . . . . . . . . . . . 6 Chapter 2 POST-SILICON TUNABLE CLOCK BUFFER ALLOCATION BASED ON FAST CHIP YIELD COMPUTATION 8 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 Systematic Exploration of PST Buffer Allocation . . . . . . . . . 10 2.2.1 Observations . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.2 Problem Definition . . . . . . . . . . . . . . . . . . . . . . 15 2.2.3 Allocation Algorithm . . . . . . . . . . . . . . . . . . . . . 16 2.3 Fast Timing Yield Computation . . . . . . . . . . . . . . . . . . 17 2.3.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3.2 Incremental Yield Computation . . . . . . . . . . . . . . . 22 2.4 Experimental Result . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.5 PST Buffer Configuration Techniques . . . . . . . . . . . . . . . 31 2.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Chapter 3 POST-SILICON TUNING BASED ON FLEXIBLE FLIP-FLOP TIMING 34 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.2 Preliminary and Definitions . . . . . . . . . . . . . . . . . . . . . 40 3.2.1 Flexible Flip-Flop Timing Model . . . . . . . . . . . . . . 40 3.2.2 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.3 Motivational Examples . . . . . . . . . . . . . . . . . . . . . . . . 42 3.4 Clock Skew Scheduling for Slack Relaxation Based on Flexible Flip-Flop Timing . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.4.1 Overall Flow . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.4.2 Finding Local Clock Skew Schedule . . . . . . . . . . . . 48 3.5 Experimental Results . . . . . . . . . . . . . . . . . . . . . . . . . 51 3.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Chapter 4 SYNTHESIS FOR POWER-AWARE CLOCK SPINES 61 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.2 Preliminaries and Motivation . . . . . . . . . . . . . . . . . . . . 64 4.2.1 Clock Spine . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4.2.2 Activity Patterns . . . . . . . . . . . . . . . . . . . . . . . 67 4.2.3 Power Computation . . . . . . . . . . . . . . . . . . . . . 67 4.3 Algorithm for Clock Spine Synthesis . . . . . . . . . . . . . . . . 68 4.3.1 Problem Definition . . . . . . . . . . . . . . . . . . . . . . 68 4.3.2 Power-Aware Sink Clustering . . . . . . . . . . . . . . . . 70 4.3.3 Spine Relaxation . . . . . . . . . . . . . . . . . . . . . . . 77 4.3.4 Spine Buffer Allocation . . . . . . . . . . . . . . . . . . . 80 4.3.5 Top-Level Tree Construction . . . . . . . . . . . . . . . . 86 4.4 Experimental Results . . . . . . . . . . . . . . . . . . . . . . . . . 86 4.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 Chapter 5 CONCLUSION 95 5.1 Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 5.2 Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 5.3 Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Bibliography 97 초록 106Docto

PCB access impedances extraction method of in-situ integrated circuit

This article describes an extraction technique of input and output impedances of integrated circuits (ICs) implemented onto the printed circuit boards (PCBs). The feasibility of the technique is illustrated with a proof-of-concept (POC) constituted by two ICs operating in a typically transmitter-receiver (Tx-Rx) circuit. The POC system is assumed composed of three different blocks of emitter signal source, load and interconnect passive network. This latter one is assumed defined by its chain matrix known from its electrical and physical characteristics. The proposed impedance extraction method is elaborated from the given signals at the transmitter output and receiver input. The terminal access impedances are formulated in function of the parameters of the interconnect system chain matrix. The feasibility of the method is checked with a passive circuit constituted by transmission lines driven by voltage source with RL-series network internal impedance and loaded at the output by the RC-parallel network. Good correlation between the access impedance reference and calculated is found

Characterization and Design of High-Level VHDL I/Q Frequency Downconverter via Special Sampling Scheme

This study explores the characterization and implementation of a Special Sampling Scheme (SSS) for In-Phase and Quad-Phase (I/Q) down conversion utilizing top-level, portable design strategies. The SSS is an under-developed signal sampling methodology that can be used with military and industry receiver systems, specifically, United States Air Force (USAF) video receiver systems. The SSS processes a digital input signal-stream sampled at a specified sampling frequency, and down converts it into In-Phase (I) and Quad-Phase (Q) output signal-streams. Using the theory and application of the SSS, there are three main objectives that will be accomplished: characterization of the effects of input, output, and filter coefficient parameters on the I/Q imbalances using the SSS; development and verification of abstract, top-level VHDL code of the I/Q SSS for hardware implementation; and finally, development, verification, and analysis of variation between synthesizable pipelined and sequential VHDL implementations of the SSS for Field Programmable Gate Arrays (FPGA) and Application Specific Integrated Circuits (ASIC)

Methodology for Standby Leakage Power Reduction in Nanometer-Scale CMOS Circuits

In nanometer-scale CMOS technology, leakage power has become a major component of the total power dissipation due to the downscaling of threshold voltage and gate oxide thickness. The leakage power consumption has received even more attention by increasing demand for mobile devices. Since mobile devices spend a majority of their time in a standby mode, the leakage power savings in standby state is critical to extend battery lifetime. For this reason, low power has become a major factor in designing CMOS circuits. In this dissertation, we propose a novel transistor reordering methodology for leakage reduction. Unlike previous technique, the proposed method provides exact reordering rules for minimum leakage formation by considering all leakage components. Thus, this method formulates an optimized structure for leakage reduction even in complex CMOS logic gate, and can be used in combination with other leakage reduction techniques to achieve further improvement. We also propose a new standby leakage reduction methodology, leakage-aware body biasing, to overcome the shortcomings of a conventional Reverse Body Biasing (RBB) technique. The RBB technique has been used to reduce subthreshold leakage current. Therefore, this technique works well under subthreshold dominant region even though it has intrinsic structural drawbacks. However, such drawbacks cannot be overlooked anymore since gate leakage has become comparable to subthreshold leakage in nanometer-scale region. In addition, BTBT leakage also increases with technology scaling due to the higher doping concentration applied in each process technology. In these circumstances, the objective of leakage minimization is not a single leakage source but the overall leakage sources. The proposed leakage-aware body biasing technique, unlike conventional RBB technique, considers all major leakage sources to minimize the negative effects of existing body biasing approach. This can be achieved by intelligently applying body bias to appropriate CMOS network based on its status (on-/off-state) with the aid of a pin/transistor reordering technique

Approaches to Building a Quantum Computer Based on Semiconductors

Throughout this Ph.D., the quest to build a quantum computer has accelerated, driven by ever-improving fidelities of conventional qubits and the development of new technologies that promise topologically protected qubits with the potential for lifetimes that exceed those of comparable conventional qubits. As such, there has been an explosion of interest in the design of an architecture for a quantum computer. This design would have to include high-quality qubits at the bottom of the stack, be extensible, and allow the layout of many qubits with scalable methods for readout and control of the entire device. Furthermore, the whole experimental infrastructure must handle the requirements for parallel operation of many qubits in the system. Hence the crux of this thesis: to design an architecture for a semiconductor-based quantum computer that encompasses all the elements that would be required to build a large scale quantum machine, and investigate the individual these elements at each layer of this stack, from qubit to readout to control

On Co-Optimization Of Constrained Satisfiability Problems For Hardware Software Applications

Manufacturing technology has permitted an exponential growth in transistor count and density. However, making efficient use of the available transistors in the design has become exceedingly difficult. Standard design flow involves synthesis, verification, placement and routing followed by final tape out of the design. Due to the presence of various undesirable effects like capacitive crosstalk, supply noise, high temperatures, etc., verification/validation of the design has become a challenging problem. Therefore, having a good design convergence may not be possible within the target time, due to a need for a large number of design iterations. Capacitive crosstalk is one of the major causes of design convergence problems in deep sub-micron era. With scaling, the number of crosstalk violations has been increasing because of reduced inter-wire distances. Consequently only the most severe crosstalk faults are fixed pre-silicon while the rest are tested post-silicon. Testing for capacitive crosstalk involves generation of input patterns which can be applied post-silicon to the integrated circuit and comparison of the output response. These patterns are generated at the gate/ Register Transfer Level (RTL) of abstraction using Automatic Test Pattern Generation (ATPG) tools. In this dissertation, anInteger Linear Programming (ILP) based ATPG technique for maximizing crosstalk induced delay increase at the victim net, for multiple aggressor crosstalk faults, is presented. Moreover, various solutions for pattern generation considering both zero as well as unit delay models is also proposed. With voltage scaling, power supply switching noise has become one of the leading causes of signal integrity related failures in deep sub-micron designs. Hence, during power supply network design and analysis of power supply switching noise, computation of peak supply current is an essential step. Traditional peak current estimation approaches involve addition of peak current associated with all the CMOS gates which are switching in a combinational circuit. Consequently, this approach does not take the Boolean and temporal relationships of the circuit into account. This work presents an ILP based technique for generation of an input pattern pair which maximizes switching supply currents for a combinational circuit in the presence of integer gate delays. The input pattern pair generated using the above approach can be applied post-silicon for power droop testing. With high level of integration, Multi-Processor Systems on Chip (MPSoC) feature multiple processor cores and accelerators on the same die, so as to exploit the instruction level parallelism in the application. For hardware-software co-design, application programming model is based on a Task Graph, which represents task dependencies and execution/transfer times for various threads and processes within an application. Mapping an application to an MPSoC traditionally involves representing it in the form of a task graph and employing static scheduling in order to minimize the schedule length. Dynamic system behavior is not taken into consideration during static scheduling, while dynamic scheduling requires the knowledge of task graph at runtime. A run-time task graph extraction heuristic to facilitate dynamic scheduling is also presented here. A novel game theory based approach uses this extracted task graph to perform run-time scheduling in order to minimize total schedule length. With increase in transistor density, power density has gone up substantially. This has lead to generation of regions with very high temperature called Hotspots. Hotspots lead to reliability and performance issues and affect design convergence. In current generation Integrated Circuits (ICs) temperature is controlled by reducing power dissipation using Dynamic Thermal Management (DTM) techniques like frequency and/or voltage scaling. These techniques are reactive in nature and have detrimental effects on performance. Here, a look-ahead based task migration technique is proposed, in order to utilize the multitude of cores available in an MPSoC to eliminate thermal emergencies. Our technique is based on temperature prediction, leveraging upon a novel wavelet based thermal modeling approach. Hence, this work addresses several optimization problems that can be reduced to constrained max-satisfiability, involving integer as well as Boolean constraints in hardware and software domains. Moreover, it provides domain specific heuristic solutions for each of them

Multi-objective Digital VLSI Design Optimisation

Modern VLSI design's complexity and density has been exponentially increasing over the past 50 years and recently reached a stage within its development, allowing heterogeneous, many-core systems and numerous functions to be integrated into a tiny silicon die. These advancements have revealed intrinsic physical limits of process technologies in advanced silicon technology nodes. Designers and EDA vendors have to handle these challenges which may otherwise result in inferior design quality, even failures, and lower design yields under time-to-market pressure. Multiple or many design objectives and constraints are emerging during the design process and often need to be dealt with simultaneously. Multi-objective evolutionary algorithms show flexible capabilities in maintaining multiple variable components and factors in uncertain environments. The VLSI design process involves a large number of available parameters both from designs and EDA tools. This provides many potential optimisation avenues where evolutionary algorithms can excel. This PhD work investigates the application of evolutionary techniques for digital VLSI design optimisation. Automated multi-objective optimisation frameworks, compatible with industrial design flows and foundry technologies, are proposed to improve solution performance, expand feasible design space, and handle complex physical floorplan constraints through tuning designs at gate-level. Methodologies for enriching standard cell libraries regarding drive strength are also introduced to cooperate with multi-objective optimisation frameworks, e.g., subsequent hill-climbing, providing a richer pool of solutions optimised for different trade-offs. The experiments of this thesis demonstrate that multi-objective evolutionary algorithms, derived from biological inspirations, can assist the digital VLSI design process, in an industrial design context, to more efficiently search for well-balanced trade-off solutions as well as optimised design space coverage. The expanded drive granularity of standard cells can push the performance of silicon technologies with offering improved solutions regarding critical objectives. The achieved optimisation results can better deliver trade-off solutions regarding power, performance and area metrics than using standard EDA tools alone. This has been not only shown for a single circuit solution but also covered the entire standard-tool-produced design space