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

Performance optimization of elastic systems using buffer resizing and buffer insertion

Buffer resizing and buffer insertion are two transformation techniques for the performance optimization of elastic systems. Different approaches for each technique have already been proposed in the literature. Both techniques increase the storage capacity and can potentially contribute to improve the throughput of the system. Each technique offers a different trade-off between area cost and latency. This paper presents a method that combines both techniques to achieve the maximum possible throughput while minimizing the cost of the implementation. The provided method is based on mixed integer linear programming. A set of experiments is designed to show the feasibility of the approach.Peer ReviewedPostprint (published version

Doctor of Philosophy

dissertationElasticity is a design paradigm in which circuits can tolerate arbitrary latency/delay variations in their computation units as well as communication channels. Creating elastic (both synchronous and asynchronous) designs from clocked designs has potential benefits of increased modularity and robustness to variations. Several transformations have been suggested in the literature and each of these require a handshake control network (examples include synchronous elasticization and desynchronization). Elastic control network area and power overheads may become prohibitive. This dissertation investigates different optimization avenues to reduce these overheads without sacrificing the control network performance. First, an algorithm and a tool, CNG, is introduced that generates a control network with minimal total number of join and fork control steering units. Synchronous Elastic FLow (SELF) is a handshake protocol used over synchronous elastic designs. Comparing to its standard eager implementation (that uses eager forks - EForks), lazy SELF can consume less power and area. However, it typically suff ers from combinational cycles and can have inferior performance in some systems. Hence, lazy SELF has been rarely studied in the literature. This work formally and exhaustively investigates the specifi cations, diff erent implementations, and verifi cation of the lazy SELF protocol. Furthermore, several new and existing lazy designs are mapped to hybrid eager/lazy imple-mentations that retain the performance advantage of the eager design but have power and area advantages of lazy implementations, and are combinational-cycle free. This work also introduces a novel ultra simple fork (USFork) design. The USFork has two advantages over lazy forks: it is composed of simpler logic (just wires) and does not form combinational cycles. The conditions under which an EFork can be replaced by a USFork without any performance loss are formally derived. The last optimization avenue discussed in this dissertation is Elastic Bu er Controller (EBC) merging. In a typical synchronous elastic control network, some EBCs may activate their corresponding latches at similar schedules. This work provides a framework for fi nding and merging such controllers in any control network; including open networks (i.e., when the environment abstract is not available or required to be flexible) as well as networks incorporating variable latency units. Replacing EForks with USForks under some equivalence conditions as well as EBC merging have been fully automated in a tool, HGEN. The impact of this work will help achieve elasticity at a reduced cost. It will broaden the class of circuits that can be elasticized with acceptable overhead (circuits that designers would otherwise nd it too expensive to elasticize). In a MiniMIPS processor case study, comparing to a basic control network implementation, the optimization techniques of this dissertation accumulatively achieve reductions in the control network area, dynamic, and leakage power of 73.2%, 68.6%, and 69.1%, respectively

Optimized Surface Code Communication in Superconducting Quantum Computers

Quantum computing (QC) is at the cusp of a revolution. Machines with 100 quantum bits (qubits) are anticipated to be operational by 2020 [googlemachine,gambetta2015building], and several-hundred-qubit machines are around the corner. Machines of this scale have the capacity to demonstrate quantum supremacy, the tipping point where QC is faster than the fastest classical alternative for a particular problem. Because error correction techniques will be central to QC and will be the most expensive component of quantum computation, choosing the lowest-overhead error correction scheme is critical to overall QC success. This paper evaluates two established quantum error correction codes---planar and double-defect surface codes---using a set of compilation, scheduling and network simulation tools. In considering scalable methods for optimizing both codes, we do so in the context of a full microarchitectural and compiler analysis. Contrary to previous predictions, we find that the simpler planar codes are sometimes more favorable for implementation on superconducting quantum computers, especially under conditions of high communication congestion.Comment: 14 pages, 9 figures, The 50th Annual IEEE/ACM International Symposium on Microarchitectur

Throughput and FIFO Sizing: an Application to Latency-Insensitive Design

RR-6919On-chip communications are a key concern for high end designs. Since latency issues cannot be avoided in deep-submicron technologies, design methodologies need to cope with it. In such a case, precise FIFO sizings are of high interest, to find the right trade-off in between area, power and throughput. This paper provides means to size optimally FIFOs while reaching maximum achievable throughput. We apply our algorithms to Latency-Insensitive Designs. Such algorithms can also be used to size FIFOs in other application fields, as for instance Networks-on-Chips. We also revisit the equalization process, which introduces as much latencies as possible in the system while preserving global system throughput. This algorithm point out where it is possible to introduce more stage of pipelines while ensuring the maximum throughput of the system. It allows for instance to postpone execution of IP(s) to limit dynamic power peak. We provide a modified algorithm that globally minimizes the number of such introduced latencies

Formal Methods for Schedulings of Latency-Insensitive Designs

LID ( Latency-Insensitive Design) theory was invented to deal with SoC timing closure issues, by allowing arbitrary fixed integer latencies on long global wires. Latencies are coped with using a resynchronization protocol that performs dynamic scheduling of data transportation. Functional behaviour is preserved. This dynamic scheduling is implemented using specific synchronous hardware elements: Relay-Stations (RS) and Shell-Wrappers (SW). Our first goal is to provide a formal modeling of RS and SW, that can then be formally verified. As turns out, resulting behaviour is k-periodic, thus amenable to static scheduling. Our second goal is to provide formal hardware modeling here also. It initially performs Throughput Equalization, adding integer latencies wherever possible; residual cases require introduction of Fractional Registers (FRs) at specific locations. Benchmark results are presented, run on our KPassa tool implementation

Scalable reconfigurable computing leveraging latency-insensitive channels

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2013.Cataloged from PDF version of thesis.Includes bibliographical references (p. 190-197).Traditionally, FPGAs have been confined to the limited role of small, low-volume ASIC replacements and as circuit emulators. However, continued Moore's law scaling has given FPGAs new life as accelerators for applications that map well to fine-grained parallel substrates. Examples of such applications include processor modelling, compression, and digital signal processing. Although FPGAs continue to increase in size, some interesting designs still fail to fit in to a single FPGA. Many tools exist that partition RTL descriptions across FPGAs. Unfortunately, existing tools have low performance due to the inefficiency of maintaining the cycle-by-cycle behavior of RTL among discrete FPGAs. These tools are unsuitable for use in FPGA program acceleration, as the purpose of an accelerator is to make applications run faster. This thesis presents latency-insensitive channels, a language-level mechanism by which programmers express points in their their design at which the cycle-by-cycle behavior of the design may be modified by the compiler. By decoupling the timing of portions of the RTL from the high-level function of the program, designs may be mapped to multiple FPGAs without suffering the performance degradation observed in existing tools. This thesis demonstrates, using a diverse set of large designs, that FPGA programs described in terms of latency-insensitive channels obtain significant gains in design feasibility, compilation time, and run-time when mapped to multiple FPGAs.by Kermin Elliott Fleming, Jr.Ph.D