A multiplexed symbolic substitution method based on an optical correlator is proposed for an optical parallel addition with redundant binary number. The minimum average correlation energy (MACE) filter, which has very low sidelobes and sharp correlation peaks, is chosen as the optical correlation filter in the recognition phase of symbolic substitution. The sixteen coded input patterns of the redundant binary numbers are classified six groups according to the addition results to minimize the number of recognition filters. To implement the smaller optical system, six recognition/substitution filters are multiplexed in two filter planes with spatial carrier frequencies. Through the computer simulation, it is confirmed that the proposed multiplexed symbolic substitution method is suitable for implementation of the optical parallel adder.
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