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Optical residue arithmetic: a correlation approach

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Abstract

A numerical optical processor is described that performs operations in residue arithmetic. The position coding used to represent decimal and residue numbers allows one to describe the various conversions and operations in a correlation formulation. This description of residue arithmetic leads directly to novel residue adder and decimal/residue/decimal converter designs, which are described and experimentally demonstrated. The accuracy, dynamic range and space bandwidth of an optical residue arithmetic processor are also discussed.

© 1979 Optical Society of America

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