OPTICAL COMPLEX MATRIX-VECTOR MULTIPLICATION WITH NEGATIVE BINARY INNER PRODUCTS

Based on the mixed negative binary number system, we propose an inner- product algorithm for digital complex-valued matrix-vector multiplicat ion. The features are no carries, no signs, no indications for decimal points, and simple preprocessing and postprocessing. Correspondingly, an optical architecture of incoherent optical correlation with spatia l digital coding of data is suggested. Negative binary complex matrix- vector multiplication can be realized optically in parallel with a hig h accuracy. The experimental result is also given.