Result: Multiple restricted multiplication

Title:
Multiple restricted multiplication
Source:
FPL 2004 : field-programmable logic and applications (Antwerp, 30 August - 1 September 2004)Lecture notes in computer science. :374-383
Publisher Information:
Berlin: Springer, 2004.
Publication Year:
2004
Physical Description:
print, 11 ref
Original Material:
INIST-CNRS
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Electrical & Electronic Engineering, Imperial College, London, United Kingdom
ISSN:
0302-9743
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Electronics
Accession Number:
edscal.16107524
Database:
PASCAL Archive

Further Information

This paper focuses on a class of problem relating to the multiplication of a single number by several coefficients that, while not constant, are drawn from a finite set of constants that change with time. To minimize the number of operations, we present the formulation as a form of common sub-expression elimination. The proposed scheme avoids the implementation of full multiplication. In addition, an efficient implemenation is presented targeting the Xilinx Virtex / Virtex-II family of FPGAs. We also introduce a novel use of Integer Linear Programming for finding solutions to the minimum-cost of such a multiplication problem. Our formulation results in area savings even for modest problem sizes.