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Xquasher: a tool for efficient computation of multiple linear expressions

Published: 26 July 2009 Publication History

Abstract

Digital signal processing applications often require the computation of linear systems. These computations can be considerably expensive and require optimizations for lower power consumption, higher throughput, and faster response time. Unfortunately, system designers do not have the necessary tools to take advantage of the wide flexibility in ways to evaluate these expressions. Therefore, we address the problem of efficiently computing a set of linear systems through a tool, Xquasher, that is developed by us to enable elimination of large common subexpression from expressions with an arbitrary number of terms. Xquasher provides a methodology for efficient computation of both single and multiple linear expressions. We also introduce the concept of power set encoding which helps us to provide an effective optimization method and achieves significant improvement over previously published work. Our tool provides optimized designs with 15% less area with the cost of 3% increase in delay by reducing number of additions on average by 45%.

References

[1]
M. Potkonjak, M. B. Srivastava, and A. P. Chandrakasan, "Multiple Constant Multiplications: Efficient and Versatile Framework and Algorithms for Exploring Common Subexpression Elimination," IEEE Transactions on Computer Aided Design of Integrated Circuits and Systems, 1996.
[2]
H. T. Nguyen and A. Chattejee, "Number-splitting with shift-and-add decomposition for power and hardware optimization in linear DSP synthesis," IEEE Transactions on Very Large Scale Integration (Vlsi) Systems, vol. 8, pp. 419--24, 2000.
[3]
H. Safiri, M. Ahmadi, G. A. Jullien, and W. C. Miller, "A New Algorithm for the Elimination of Common Subexpressions in Hardware Implementation of Digital Filters by Using Genetic Programming," IEEE International Conference on Application-Specific Systems, Architectures and Processors (ASAP), 2000.
[4]
A. Hosangadi, F. Fallah, and R. Kastner, "Common subexpression elimination involving multiple variables linear DSP synthesis," IEEE International Conference on Application-Specific Systems, Architectures and Processors, pp. 202--12, 2004.
[5]
A. Hosangadi, F. Farzan, and R. Kastner, "Optimizing high speed arithmetic circuits using three-term extraction," Design, Automation and Test in Europe, pp. 6, 2006.
[6]
R. Zimmermann, D. Q. Tran, "Optimized Synthesis of Sum-of-Products," Proceedings 37th Asilomar Conference on Signals, Systems, and Computers, November 2003
[7]
Peter Tummeltshammer, James C. Hoe and Markus Püschel, "Time-Multiplexed Multiple Constant Multiplication", IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 26, No. 9, pp. 1551--1563, 2007.

Cited By

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  • (2015)A Novel Method for the Approximation of Multiplierless Constant Matrix Vector MultiplicationProceedings of the 2015 IEEE 13th International Conference on Embedded and Ubiquitous Computing (EUC)10.1109/EUC.2015.27(98-105)Online publication date: 21-Oct-2015
  • (2014)A Tutorial on Multiplierless Design of FIR FiltersCircuits, Systems, and Signal Processing10.1007/s00034-013-9727-833:6(1689-1719)Online publication date: 1-Jun-2014
  • (2012)Optimization Algorithms for the Multiplierless Realization of Linear TransformsACM Transactions on Design Automation of Electronic Systems10.1145/2071356.207135917:1(1-27)Online publication date: 1-Jan-2012
  • Show More Cited By

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      cover image ACM Conferences
      DAC '09: Proceedings of the 46th Annual Design Automation Conference
      July 2009
      994 pages
      ISBN:9781605584973
      DOI:10.1145/1629911
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Publication History

      Published: 26 July 2009

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      Author Tags

      1. DSP transforms
      2. area optimization
      3. common sub-expression elimination
      4. linear expression
      5. multiple constant multiplications

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      DAC '09: The 46th Annual Design Automation Conference 2009
      July 26 - 31, 2009
      California, San Francisco

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      Overall Acceptance Rate 1,317 of 3,929 submissions, 34%

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      View all
      • (2015)A Novel Method for the Approximation of Multiplierless Constant Matrix Vector MultiplicationProceedings of the 2015 IEEE 13th International Conference on Embedded and Ubiquitous Computing (EUC)10.1109/EUC.2015.27(98-105)Online publication date: 21-Oct-2015
      • (2014)A Tutorial on Multiplierless Design of FIR FiltersCircuits, Systems, and Signal Processing10.1007/s00034-013-9727-833:6(1689-1719)Online publication date: 1-Jun-2014
      • (2012)Optimization Algorithms for the Multiplierless Realization of Linear TransformsACM Transactions on Design Automation of Electronic Systems10.1145/2071356.207135917:1(1-27)Online publication date: 1-Jan-2012
      • (2012)Multiplierless Design of Linear DSP TransformsVLSI-SoC: Advanced Research for Systems on Chip10.1007/978-3-642-32770-4_5(73-93)Online publication date: 2012

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