Article

Exploiting general coefficient representation for the optimal sharing of partial products in MCMs

Authors:

Eduardo Costa,

Paulo Flores,

José MonteiroAuthors Info & Claims

SBCCI '06: Proceedings of the 19th annual symposium on Integrated circuits and systems design

Pages 161 - 166

https://doi.org/10.1145/1150343.1150387

Published: 28 August 2006 Publication History

Get Access

Abstract

We propose a new algorithm that maximizes he sharing of partial terms in Multiple Cons an Multiplication (MCM) operations under a general number representation for the coefficients. MCM operations are required by many algorithms in digital signal processing and have been the subject of extensive research. By making no assumptions as to the number representation, the algorithm described in his paper is able to perform a better search for the optimal sharing of partial terms than previous methods based on MSD or CSD representations. We have applied our algorithm for the hardware minimization of FIR filers.The results show that we can ob ain solutions that require between 20% to 50% less hardware when compared agains he solutions using he MSD representation.

References

[1]

H. Nguyen and A. Chatterjee. Number-Splitting with Shif -and-Add Decomposition for Power and Hardware Optimization in Linear DSP Synthesis. IEEE Transactions on Very Large Scale Integration (VLSI) Systems.8 (4): 419--424, August 2000.

Digital Library

Google Scholar

[2]

E. da Costa, P. Flores, and J. Monteiro. Maximal Sharing of Partial Terms in MCM under Minimal Signed Digit Representation.In European Conference on Circuits Theory and Design pages 468--473, 2005.

Google Scholar

[3]

M. Mehendale, S. Sherlekar, and G. Venkatesh. Techniques for Low Power Realization of FIR Filters. In Design Automation Conference pages 404--416, 1995.

Digital Library

Google Scholar

[4]

H. Samueli. An Improved Search Algorithm for he Design of Multiplierless FIR Filters with Power-of-Two Coefficients. In IEEE Transactions on Circuits and Systems pages 1044--1047, 1989.

Google Scholar

[5]

A. Nannarelli, M. Re, and G. Cardarilli. Tradeoffs be ween residue number system and raditional FIR Filters. In IEEE International Symposium on Circuits and Systems May 2001.

Google Scholar

[6]

M. Potkonjak, M. Srivastava, and A. Chandrakasan. Efficient substitution of multiple constan multiplication by shifts and additions using iterative pairwise matching. In Proceedings of the 31st ACM/IEEE Design Automation Conference pages 189--194, 1994.

Digital Library

Google Scholar

[7]

R. Hartley. Subexpression sharing in filters using canonic signed digit multipliers. IEEE Transactions on Circuits and Systems II.43 (10): 677--688, 1996.

Crossref

Google Scholar

[8]

R. Pasko, P. Schaumon, V. Derudder, S. Vernalde, and D. Durackova. A New Algorithm for Elimination of Common Subexpressions. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.18: 58--68, January 1999.

Digital Library

Google Scholar

[9]

A. Dempster and M. Macleod. Use of Minimum-Adder Multiplier Blocks in FIR Digital Filters. IEEE Trans. on CAS-II 42 (9): 596--577, September 1995.

Google Scholar

[10]

I-C. Park and H-J. Kang. Digital Filter Synthesis Based on Minimal Signed Digit Representation. In Design Automation Conference pages 468--473, 2001.

Digital Library

Google Scholar

Cited By

View all

Aksoy LGüneş EFlores P(2010)Search algorithms for the multiple constant multiplications problemMicroprocessors & Microsystems10.1016/j.micpro.2009.10.00134:5(151-162)Online publication date: 1-Aug-2010
https://dl.acm.org/doi/10.1016/j.micpro.2009.10.001
Rosa VDaitx FCosta EBampi S(2009)Design flow for the generation of optimized FIR filters2009 16th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2009)10.1109/ICECS.2009.5410839(1000-1003)Online publication date: Dec-2009
https://doi.org/10.1109/ICECS.2009.5410839
Aksoy LGunes ELubaszewski MRenovell MGupta R(2008)An approximate algorithm for the multiple constant multiplications problemProceedings of the 21st annual symposium on Integrated circuits and system design10.1145/1404371.1404395(58-63)Online publication date: 1-Sep-2008
https://dl.acm.org/doi/10.1145/1404371.1404395
Show More Cited By

Index Terms

Exploiting general coefficient representation for the optimal sharing of partial products in MCMs
1. Hardware
  1. Communication hardware, interfaces and storage
    1. Signal processing systems
  2. Hardware validation

Recommendations

Comments on 'A 70 MHz Multiplierless FIR Hilbert Transformer in 0.35 μm Standard CMOS Library'

In this comment we point out that the mapping from carry-propagation adders to carry-save adders in the context of shift-and-add multiplication is inconsistent. Based on this it is shown that the implementation in Ref. [1] does not achieve any ...
Model Predictive Control for Partial Differential Equations
Secret sharing schemes with partial broadcast channels

In a conventional secret sharing scheme a dealer uses secure point-to-point channels to distribute the shares of a secret to a number of participants. At a later stage an authorised group of participants send their shares through secure point-to-point ...

Comments

Information & Contributors

Information

Published In

SBCCI '06: Proceedings of the 19th annual symposium on Integrated circuits and systems design

August 2006

248 pages

ISBN:1595934790

DOI:10.1145/1150343

General Chair:
Claudionor Coelho
Universidade de Minas Gerais, Brazil
,
Program Chairs:
Ricardo Jacobi
Universidade de Brasilia, Brazil
,
Juergen Becker
Universitaet Karlsruhe (TH), Germany

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]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 28 August 2006

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Article

Conference

SBCCI06

Sponsor:

SBCCI06: 19th Symposium on Integrated Circuits and System Design

August 28 - September 1, 2006

MG, Ouro Preto, Brazil

Acceptance Rates

Overall Acceptance Rate 133 of 347 submissions, 38%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

4
Total Citations
View Citations
156
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 07 Mar 2025

Other Metrics

View Author Metrics

Citations

Cited By

View all

Aksoy LGüneş EFlores P(2010)Search algorithms for the multiple constant multiplications problemMicroprocessors & Microsystems10.1016/j.micpro.2009.10.00134:5(151-162)Online publication date: 1-Aug-2010
https://dl.acm.org/doi/10.1016/j.micpro.2009.10.001
Rosa VDaitx FCosta EBampi S(2009)Design flow for the generation of optimized FIR filters2009 16th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2009)10.1109/ICECS.2009.5410839(1000-1003)Online publication date: Dec-2009
https://doi.org/10.1109/ICECS.2009.5410839
Aksoy LGunes ELubaszewski MRenovell MGupta R(2008)An approximate algorithm for the multiple constant multiplications problemProceedings of the 21st annual symposium on Integrated circuits and system design10.1145/1404371.1404395(58-63)Online publication date: 1-Sep-2008
https://dl.acm.org/doi/10.1145/1404371.1404395
Daitx FRosa VCosta EFlores PBampi S(2008)VHDL generation of optimized FIR filters2008 2nd International Conference on Signals, Circuits and Systems10.1109/ICSCS.2008.4746944(1-5)Online publication date: Nov-2008
https://doi.org/10.1109/ICSCS.2008.4746944

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Abstract

References

Cited By

Index Terms

Recommendations

Comments on 'A 70 MHz Multiplierless FIR Hilbert Transformer in 0.35 μm Standard CMOS Library'

Model Predictive Control for Partial Differential Equations

Secret sharing schemes with partial broadcast channels

Comments

Information

Published In

Sponsors

Publisher

Publication History

Permissions

Check for updates

Author Tags

Qualifiers

Conference

Acceptance Rates

Contributors

Other Metrics

Bibliometrics

Article Metrics

Other Metrics

Citations

Cited By

Login options

Full Access

View options

PDF

eReader

Share

Share this Publication link

Share on social media

Affiliations