An Optimal Multiplication Algorithm on Reconfigurable Mesh

Authors:
Ju-wook Jang;Heonchul Park;Viktor K. Prasanna
Affiliations:
Sogang Univ., Seoul, Korea;Samsung Electronics Co. Ltd., Seoul, Korea;Univ. of Southern California, Los Angeles
Venue:
IEEE Transactions on Parallel and Distributed Systems
Year:
1997

Citing 14
Cited 4

Area-time optimal VLSI integer multiplier with minimum computation time

Information and Control
Parallel computations on meshes with static and reconfiguarble buses

Parallel computations on meshes with static and reconfiguarble buses
Polymorphic-Torus Network

IEEE Transactions on Computers
Constant time sorting on a processor array with a reconfigurable bus system

Information Processing Letters
Meshes with reconfigurable buses

Proceedings of the fifth MIT conference on Advanced research in VLSI
A preliminary report on the performance of the image understanding architecture on the DARPA integrated image understanding benchmark

Proceedings of the conference on CONPAR 88
The power of reconfiguration

Journal of Parallel and Distributed Computing
Parallel Computations on Reconfigurable Meshes

IEEE Transactions on Computers
The Area-Time Complexity of Binary Multiplication

Journal of the ACM (JACM)
Constant Time Algorithms for the Transitive Closure and Some Related Graph Problems on Processor Arrays with Reconfigurable Bus Systems

IEEE Transactions on Parallel and Distributed Systems
An Optimal Sorting Algorithm on Reconfigurable Mesh

IPPS '92 Proceedings of the 6th International Parallel Processing Symposium
An Efficient Convex Hull Computation on the Reconfigurable Mesh

IPPS '92 Proceedings of the 6th International Parallel Processing Symposium
Area-Time Optimal VLSI Networks for Computing Integer Multiplications and Discrete Fourier Transform

Proceedings of the 8th Colloquium on Automata, Languages and Programming
The Image Understanding Architecture

The Image Understanding Architecture

Constant Time Dynamic Programming on Directed Reconfigurable Networks

IEEE Transactions on Parallel and Distributed Systems
A Residue Number System on Reconfigurable Mesh with Applications to Prefix Sums and Approximate String Matching

IEEE Transactions on Parallel and Distributed Systems
The implementation of 2D FFT using multiple topology on 4 × 4 torus

ISCIT'09 Proceedings of the 9th international conference on Communications and information technologies
An algorithm for parallel calculation of trigonometric functions

Proceedings of the ACM International Conference on Computing Frontiers

Quantified Score

Hi-index	0.00

Visualization

Abstract

An O(1) time algorithm to multiply two N-bit binary numbers using an N脳N bit-model of reconfigurable mesh is shown. It uses optimal mesh size and it improves previously known results for multiplication on the reconfigurable mesh. The result is obtained by using novel techniques for data representation and data movement and using multidimensional Rader Transform. The algorithm is extended to result in AT2 optimality over $1\le T\le \sqrt N$ in a variant of the bit-model of VLSI.