Optimizing Sequential Cycles Through Shannon Decomposition and Retiming

Optimizing sequential cycles is essential for many types of high-performance circuits, such as pipelines for packet processing. Retiming is a powerful technique for speeding pipelines, but it is stymied by tight sequential cycles. Designers usually attack such cycles by manually combining Shannon decomposition with retiming-effectively a form of speculation-but such manual decomposition is error prone. We propose an efficient algorithm that simultaneously applies Shannon decomposition and retiming to optimize circuits with tight sequential cycles. While the algorithm is only able to improve certain circuits (roughly half of the benchmarks we tried), the performance increase can be dramatic (7%-61%) with only a modest increase in area (1%-12%). The algorithm is also fast, making it a practical addition to a synthesis flow

High Level Synthesis for Packet Processing Pipelines

Packet processing is an essential function of state-of-the-art network routers and switches. Implementing packet processors in pipelined architectures is a well-known, established technique, albeit different approaches have been proposed. The design of packet processing pipelines is a delicate trade-off between the desire for abstract specifications, short development time, and design maintainability on one hand and very aggressive performance requirements on the other. This thesis proposes a coherent design flow for packet processing pipelines. Like the design process itself, I start by introducing a novel domain-specific language that provides a high-level specification of the pipeline. Next, I address synthesizing this model and calculating its worst-case throughput. Finally, I address some specific circuit optimization issues. I claim, based on experimental results, that my proposed technique can dramatically improve the design process of these pipelines, while the resulting performance matches the expectations of hand-crafted design. The considered pipelines exhibit a pseudo-linear topology, which can be too restrictive in the general case. However, especially due to its high performance, such an architecture may be suitable for applications outside packet processing, in which case some of my proposed techniques could be easily adapted. Since I ran my experiments on FPGAs, this work has an inherent bias towards that technology; however, most results are technology-independent

Elastic systems

Elastic systems provide tolerance to the variations in computation and communication delays. The incorporation of elasticity opens new opportunities for optimization using new correct-by-construction transformations that cannot be applied to rigid non-elastic systems. The basics of synchronous and asynchronous elastic systems will be reviewed. A set of behavior-preserving transformations will be presented: retiming, recycling, early evaluation, variable-latency units and speculative execution. The application of these transformations for performance and power optimization will be discussed. Finally, a novel framework for microarchitectural exploration will be introduced, showing that the optimal pipelining of a circuit can be automatically obtained by using the previous transformations.Peer ReviewedPostprint (published version

Speculation in elastic systems

Speculation is a well-known technique for increasing parallelism of the microprocessor pipelines and hence their performance. While implementing speculation in modern design practice is error-prone and mostly ad-hoc, this paper proposes a correct-by-construction method for implementing speculation in Elastic Systems. The technique is based on applying provably correct transformations such as early evaluation, insertion of anti-tokens and bubbles, retiming, and sharing. It allows to explore different micro-architectural solutions for better design trade-offs. The benefits of speculation are illustrated with two examples in which these transformations are systematically applied. The method proposed in this paper is amenable for automation in a synthesis flow.Postprint (published version

Energy-Efficient Digital Circuit Design using Threshold Logic Gates

abstract: Improving energy efficiency has always been the prime objective of the custom and automated digital circuit design techniques. As a result, a multitude of methods to reduce power without sacrificing performance have been proposed. However, as the field of design automation has matured over the last few decades, there have been no new automated design techniques, that can provide considerable improvements in circuit power, leakage and area. Although emerging nano-devices are expected to replace the existing MOSFET devices, they are far from being as mature as semiconductor devices and their full potential and promises are many years away from being practical. The research described in this dissertation consists of four main parts. First is a new circuit architecture of a differential threshold logic flipflop called PNAND. The PNAND gate is an edge-triggered multi-input sequential cell whose next state function is a threshold function of its inputs. Second a new approach, called hybridization, that replaces flipflops and parts of their logic cones with PNAND cells is described. The resulting \hybrid circuit, which consists of conventional logic cells and PNANDs, is shown to have significantly less power consumption, smaller area, less standby power and less power variation. Third, a new architecture of a field programmable array, called field programmable threshold logic array (FPTLA), in which the standard lookup table (LUT) is replaced by a PNAND is described. The FPTLA is shown to have as much as 50% lower energy-delay product compared to conventional FPGA using well known FPGA modeling tool called VPR. Fourth, a novel clock skewing technique that makes use of the completion detection feature of the differential mode flipflops is described. This clock skewing method improves the area and power of the ASIC circuits by increasing slack on timing paths. An additional advantage of this method is the elimination of hold time violation on given short paths. Several circuit design methodologies such as retiming and asynchronous circuit design can use the proposed threshold logic gate effectively. Therefore, the use of threshold logic flipflops in conventional design methodologies opens new avenues of research towards more energy-efficient circuits.Dissertation/ThesisDoctoral Dissertation Computer Science 201

Low Power Design Techniques for Digital Logic Circuits.

With the rapid increase in the density and the size of chips and systems, area and power dissipationbecome critical concern in Very Large Scale Integrated (VLSI) circuit design. Low powerdesign techniques are essential for today's VLSI industry. The history of symbolic logic and sometypical techniques for finite state machine (FSM) logic synthesis are reviewed.The state assignment is used to optimize area and power dissipation for FSMs. Two costfunctions, targeting area and power, are presented. The Genetic Algorithm (GA) is used to searchfor a good state assignment to minimize the cost functions. The algorithm has been implementedin C. The program can produce better results than NOVA, which is integrated into SIS by DCBerkeley, and other publications both in area and power tested by MCNC benchmarks.Flip-flops are the core components of FSMs. The reduction of power dissipation from flip-flopscan save power for digital systems significantly. Three new kinds of flip-flops, called differentialCMOS single edge-triggered flip-flop with clock gating, double edge-triggered and multiple valuedflip-flops employing multiple valued clocks, are proposed. All circuits are simulated using PSpice.Most researchers have focused on developing low-power techniques in AND/OR or NAND& NOR based circuits. The low power techniques for AND /XOR based circuits are still intheir early stage of development. To implement a complex function involving many inputs,a form of decomposition into smaller subfunctions is required such that the subfunctions fitinto the primitive elements to be used in the implementation. Best polarity based XOR gatedecomposition technique has been developed, which targets low power using Huffman algorithm.Compared to the published results, the proposed method shows considerable improvement inpower dissipation. Further, Boolean functions can be expressed by Fixed Polarity Reed-Muller(FPRM) forms. Based on polarity transformation, an algorithm is developed and implementedin C language which can find the best polarity for power and area optimization. Benchmarkexamples of up to 21 inputs run on a personal computer are given

Proceedings of the 5th International Workshop on Reconfigurable Communication-centric Systems on Chip 2010 - ReCoSoC\u2710 - May 17-19, 2010 Karlsruhe, Germany. (KIT Scientific Reports ; 7551)

ReCoSoC is intended to be a periodic annual meeting to expose and discuss gathered expertise as well as state of the art research around SoC related topics through plenary invited papers and posters. The workshop aims to provide a prospective view of tomorrow\u27s challenges in the multibillion transistor era, taking into account the emerging techniques and architectures exploring the synergy between flexible on-chip communication and system reconfigurability

Conception, optimisation, et vérification formelle de techniques de tolérance aux fautes pour circuits

Technology shrinking and voltage scaling increase the risk of fault occurrences in digital circuits. To address this challenge, engineers use fault-tolerance techniques to mask or, at least, to detect faults. These techniques are especially needed in safety critical domains (e.g., aerospace, medical, nuclear, etc.), where ensuring the circuit functionality and fault-tolerance is crucial. However, the verification of functional and fault-tolerance properties is a complex problem that cannot be solved with simulation-based methodologies due to the need to check a huge number of executions and fault occurrence scenarios. The optimization of the overheads imposed by fault-tolerance techniques also requires the proof that the circuit keeps its fault-tolerance properties after the optimization.In this work, we propose a verification-based optimization of existing fault-tolerance techniques as well as the design of new techniques and their formal verification using theorem proving. We first investigate how some majority voters can be removed from Triple-Modular Redundant (TMR) circuits without violating their fault-tolerance properties. The developed methodology clarifies how to take into account circuit native error-masking capabilities that may exist due to the structure of the combinational part or due to the way the circuit is used and communicates with the surrounding device.Second, we propose a family of time-redundant fault-tolerance techniques as automatic circuit transformations. They require less hardware resources than TMR alternatives and could be easily integrated in EDA tools. The transformations are based on the novel idea of dynamic time redundancy that allows the redundancy level to be changed "on-the-fly" without interrupting the computation. Therefore, time-redundancy can be used only in critical situations (e.g., above Earth poles where the radiation level is increased), during the processing of crucial data (e.g., the encryption of selected data), or during critical processes (e.g., a satellite computer reboot).Third, merging dynamic time redundancy with a micro-checkpointing mechanism, we have created a double-time redundancy transformation capable of masking transient faults. Our technique makes the recovery procedure transparent and the circuit input/output behavior remains unchanged even under faults. Due to the complexity of that method and the need to provide full assurance of its fault-tolerance capabilities, we have formally certified the technique using the Coq proof assistant. The developed proof methodology can be applied to certify other fault-tolerance techniques implemented through circuit transformations at the netlist level.La miniaturisation de la gravure et l'ajustement dynamique du voltage augmentent le risque de fautes dans les circuits intégrés. Pour pallier cet inconvénient, les ingénieurs utilisent des techniques de tolérance aux fautes pour masquer ou, au moins, détecter les fautes. Ces techniques sont particulièrement utilisées dans les domaines critiques (aérospatial, médical, nucléaire, etc.) où les garanties de bon fonctionnement des circuits et leurs tolérance aux fautes sont cruciales. Cependant, la vérification de propriétés fonctionnelles et de tolérance aux fautes est un problème complexe qui ne peut être résolu par simulation en raison du grand nombre d'exécutions possibles et de scénarios d'occurrence des fautes. De même, l'optimisation des surcoûts matériels ou temporels imposés par ces techniques demande de garantir que le circuit conserve ses propriétés de tolérance aux fautes après optimisation.Dans cette thèse, nous décrivons une optimisation de techniques de tolérance aux fautes classiques basée sur des analyses statiques, ainsi que de nouvelles techniques basées sur la redondance temporelle. Nous présentons comment leur correction peut être vérifiée formellement à l'aide d'un assistant de preuves.Nous étudions d'abord comment certains voteurs majoritaires peuvent être supprimés des circuits basés sur la redondance matérielle triple (TMR) sans violer leurs propriétés de tolérance. La méthodologie développée prend en compte les particularités des circuits (par ex. masquage logique d'erreurs) et des entrées/sorties pour optimiser la technique TMR.Deuxièmement, nous proposons une famille de techniques utilisant la redondance temporelle comme des transformations automatiques de circuits. Elles demandent moins de ressources matérielles que TMR et peuvent être facilement intégrés dans les outils de CAO. Les transformations sont basées sur une nouvelle idée de redondance temporelle dynamique qui permet de modifier le niveau de redondance «à la volée» sans interrompre le calcul. Le niveau de redondance peut être augmenté uniquement dans les situations critiques (par exemple, au-dessus des pôles où le niveau de rayonnement est élevé), lors du traitement de données cruciales (par exemple, le cryptage de données sensibles), ou pendant des processus critiques (par exemple, le redémarrage de l'ordinateur d'un satellite).Troisièmement, en associant la redondance temporelle dynamique avec un mécanisme de micro-points de reprise, nous proposons une transformation avec redondance temporelle double capable de masquer les fautes transitoires. La procédure de recouvrement est transparente et le comportement entrée/sortie du circuit reste identique même lors d'occurrences de fautes. En raison de la complexité de cette méthode, la garantie totale de sa correction a nécessité une certification formelle en utilisant l'assistant de preuves Coq. La méthodologie développée peut être appliquée pour certifier d'autres techniques de tolérance aux fautes exprimées comme des transformations de circuits

Embedding Logic and Non-volatile Devices in CMOS Digital Circuits for Improving Energy Efficiency

abstract: Static CMOS logic has remained the dominant design style of digital systems for more than four decades due to its robustness and near zero standby current. Static CMOS logic circuits consist of a network of combinational logic cells and clocked sequential elements, such as latches and flip-flops that are used for sequencing computations over time. The majority of the digital design techniques to reduce power, area, and leakage over the past four decades have focused almost entirely on optimizing the combinational logic. This work explores alternate architectures for the flip-flops for improving the overall circuit performance, power and area. It consists of three main sections. First, is the design of a multi-input configurable flip-flop structure with embedded logic. A conventional D-type flip-flop may be viewed as realizing an identity function, in which the output is simply the value of the input sampled at the clock edge. In contrast, the proposed multi-input flip-flop, named PNAND, can be configured to realize one of a family of Boolean functions called threshold functions. In essence, the PNAND is a circuit implementation of the well-known binary perceptron. Unlike other reconfigurable circuits, a PNAND can be configured by simply changing the assignment of signals to its inputs. Using a standard cell library of such gates, a technology mapping algorithm can be applied to transform a given netlist into one with an optimal mixture of conventional logic gates and threshold gates. This approach was used to fabricate a 32-bit Wallace Tree multiplier and a 32-bit booth multiplier in 65nm LP technology. Simulation and chip measurements show more than 30% improvement in dynamic power and more than 20% reduction in core area. The functional yield of the PNAND reduces with geometry and voltage scaling. The second part of this research investigates the use of two mechanisms to improve the robustness of the PNAND circuit architecture. One is the use of forward and reverse body biases to change the device threshold and the other is the use of RRAM devices for low voltage operation. The third part of this research focused on the design of flip-flops with non-volatile storage. Spin-transfer torque magnetic tunnel junctions (STT-MTJ) are integrated with both conventional D-flipflop and the PNAND circuits to implement non-volatile logic (NVL). These non-volatile storage enhanced flip-flops are able to save the state of system locally when a power interruption occurs. However, manufacturing variations in the STT-MTJs and in the CMOS transistors significantly reduce the yield, leading to an overly pessimistic design and consequently, higher energy consumption. A detailed analysis of the design trade-offs in the driver circuitry for performing backup and restore, and a novel method to design the energy optimal driver for a given yield is presented. Efficient designs of two nonvolatile flip-flop (NVFF) circuits are presented, in which the backup time is determined on a per-chip basis, resulting in minimizing the energy wastage and satisfying the yield constraint. To achieve a yield of 98%, the conventional approach would have to expend nearly 5X more energy than the minimum required, whereas the proposed tunable approach expends only 26% more energy than the minimum. A non-volatile threshold gate architecture NV-TLFF are designed with the same backup and restore circuitry in 65nm technology. The embedded logic in NV-TLFF compensates performance overhead of NVL. This leads to the possibility of zero-overhead non-volatile datapath circuits. An 8-bit multiply-and- accumulate (MAC) unit is designed to demonstrate the performance benefits of the proposed architecture. Based on the results of HSPICE simulations, the MAC circuit with the proposed NV-TLFF cells is shown to consume at least 20% less power and area as compared to the circuit designed with conventional DFFs, without sacrificing any performance.Dissertation/ThesisDoctoral Dissertation Electrical Engineering 201