Title
Multiple Restricted Multiplication
Abstract
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.
Year
DOI
Venue
2004
10.1007/978-3-540-30117-2_39
Lecture Notes in Computer Science
Field
DocType
Volume
Finite set,Computer science,Parallel computing,Data-flow analysis,Circuit design,Field-programmable gate array,Integer programming,Multiplication,Linear programming,Virtex
Conference
3203
ISSN
Citations 
PageRank 
0302-9743
4
0.47
References 
Authors
6
3
Name
Order
Citations
PageRank
Nalin Sidahao141.49
George A. Constantinides21391160.26
Peter Y. K. Cheung31720208.45