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Residue arithmetic techniques for optical processing of adaptive phased array radars

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Abstract

Residue arithmetic techniques which can be implemented optically are investigated for applicability to adaptive phased array radar processors. It is shown that neither the bit-serial nor the bit-parallel convolutional methods can compete favorably with emerging digital electronic techniques but that specialized forms of residue arithmetic processors may hold great potential in this area. We present a brief review of the salient features of residue arithmetic and illustrate Gauss reduction of linear systems by a procedure that is amenable to optical implementation. We discuss the details of a direct algorithm based on Gram-Schmidt orthogonalization which allows solution of large linear systems in residue arithmetic without the excessive growth of the principal modulus that is usually encountered in this approach. A pipelined architecture for performing this algorithm is also described.

© 1986 Optical Society of America

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