Optically implemented residue-number-system processing for large-order systems

D. Mergerian, Edward C. Malarkey, Joe C. Bradley, Hyo-Kun Hahn, Paul R. Beaudet, Gary E. Marx, J. Gonella, J. L. Gleich, J. L. Davis · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992

Two techniques developed during recent years have significantly enhanced the capabilities of residue-number-system (RNS) based processors to meet the demanding requirements of large- order systems. First, a method of factoring the prime modular subprocessor allows a major reduction in the componentry required to implement a look-up-table (LUT) based processor. Secondly, the use of CORE functions permits a drastic reduction in the number and magnitude of prime moduli required when the processor is applied in the solution of problems with many degrees of freedom. This paper will discuss the use of RNS-based processors in the solution of adaptive antenna problems, the basic drawbacks and the manner in which factored LUTs and CORE functions circumvent these drawbacks.

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