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Proceedings Paper

Optical Adaptive Beamforming Using Residue Number Systems (RNSs) And Gauss Elimination
Author(s): P R Beaudet; J C Bradley; E C Malarkey
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Paper Abstract

Optical look-up tables (LUT's) are used for solving the Adaptive Beamforming problem in a quadratic (Complex) Residue Number System, QRNS. It is shown that QRNS is isomorphic to the usual RNS arithmetic so that real moduli implementations can be used. In QRNS, a system of linear equations can appear singular when the determinant is a multiple of one of the moduli used in the representation. It is shown that this apparent singularity can be avoided and that the singular-like system of equation can be solved uniquely in spite of the apparent singularity. An example is given to illustrate the technique of solving singular-like QRNS systems of equations. The optical implementation of QRNS arithmetic uses Second Factorization which is shown to significantly reduce the number of optical components needed in the LUT's.

Paper Details

Date Published: 12 April 1988
PDF: 7 pages
Proc. SPIE 0886, Optoelectronic Signal Processing for Phased-Array Antennas, (12 April 1988); doi: 10.1117/12.944186
Show Author Affiliations
P R Beaudet, Westinghouse Electric Corporation (United States)
J C Bradley, Westinghouse Electric Corporation (United States)
E C Malarkey, Westinghouse Electric Corporation (United States)


Published in SPIE Proceedings Vol. 0886:
Optoelectronic Signal Processing for Phased-Array Antennas
Kul B. Bhasin; Brian M. Hendrickson, Editor(s)

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