Abstract

Joint-transform correlation architecture is employed for digital matrix multiplication. Real-valued matrix–vector, complex-valued matrix–vector, real-valued matrix–matrix, and complex-valued matrix–matrix multiplication operations can all be realized simply by programming of the data arrangement in the input plane of a multiple-input joint-transform correlator. The proposed method benefits from the advantages of speed because of the real-time processing capability of the joint-transform correlator and of high accuracy because of the digital representation of the multiplied numbers. Computer-simulation results are provided in which the negative binary encoding method is used to encode matrix elements.

© 1999 Optical Society of America

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