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Matrix Multiplication Using Incoherent Optical Techniques

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Abstract

The use of incoherent electrooptical analog methods for performing matrix-vector multiplication has been investigated mathematically. A technique for encoding the matrix information on a two-dimensional binary optical transparency by means of an area modulation scheme is described. The one-dimensional discrete finite Fourier transform, viewed from the standpoint of matrix-vector multiplication, has been performed experimentally to demonstrate feasibility. Matrix and vector array sizes employed were 33 × 33 and 33 × 1, respectively. The average value of the correlation coefficients between theoretically derived and experimental data was found to be 0.95.

© 1974 Optical Society of America

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