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
Original Manuscript: March 10, 1983
Published: September 15, 1983
James Jackson and David Casasent, "Optical systolic array processor using residue arithmetic," Appl. Opt. 22, 2817-2821 (1983)