Cross-talk analysis and reduction in fully parallel matrix-matrix multipliers

Analog optical processors that calculate a product of two matrices in a single clock cycle are analyzed for cross talk. It is determined that the sidelobes from the sinc function corresponding to the individual pixels of the spatial light modulator that encodes the first matrix are the main source of the cross talk. This cross talk can be reduced substantially by the use of an apodizing function for individual pixels of the spatial light modulator. This scheme for cross-talk reduction is verified by computer simulation. Initial experimental results are presented that demonstrate the gray-scale performance of the matrix-matrix multiplier as well as sidelobe suppression with apodization.