Abstract

In this paper, we consider the use of residue arithmetic to increase the accuracy and reduce the dynamic range requirements of optical matrix–vector processors. We show that matrix–vector operations and iterative algorithms can be performed totally in residue notation. We suggest an architecture using a frequency-multiplexed optical systolic array feedback processor. As our case study, we consider the solution of three simultaneous equations.

© 1983 Optical Society of America

Frequency-multiplexed and pipelined iterative optical systolic array processors

David Casasent, James Jackson, and Charles Neuman
Appl. Opt. 22(1) 115-124 (1983)

Array processors using a quadratic residue number system

Anna Z. Baraniecki
Appl. Opt. 28(16) 3461-3465 (1989)

Direct and implicit optical matrix–vector algorithms

David Casasent and Anjan Ghosh
Appl. Opt. 22(22) 3572-3578 (1983)

Optical computation using residue arithmetic

Alan Huang, Yoshito Tsunoda, Joseph W. Goodman, and Satoshi Ishihara
Appl. Opt. 18(2) 149-162 (1979)

Optical residue arithmetic: a correlation approach

Demetri Psaltis and David Casasent
Appl. Opt. 18(2) 163-171 (1979)