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An improved optical matrix-vector multiplication is performed by convolution process. The multiplicated binary numbers are represented by on/off states of light sources and the multiplier binary numbers are recorded on a spatial light modulator. Cylindrical optics is used as free space interconnection. The convolution coefficients are recorded on a CCD array. The output of the CCD array are added in a computer to yield the result of multiplication. The operation is completely digital and needs no analog to digital conversion. Because of parallel operation in two dimensions, the processing speed is greatly increased.
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Soumika Munshi, Somnath Bandyopadhyay, Asit K. Datta, "Improved optical matrix-vector multiplier," Proc. SPIE 3729, Selected Papers from International Conference on Optics and Optoelectronics '98, (29 April 1999); https://doi.org/10.1117/12.346832