Residue number system holographic truth-table look-up processing: detector threshold setting and probability of error due to amplitude and phase variations

Abstract

The use of a holographic content-addressable memory system for parallel truth-table look-up digital data processing is analyzed. For binary-coded residue numbers, the operations of 4-, 8-, 12-, and 16-bit addition and multiplication are treated. The minimum probability of error that can be achieved and the corresponding detector threshold settings are determined in each case allowing for the effects of Gaussian distributions in the amplitude and the phase in the recording beams. Resultant probabilities of error for practical conditions are found to be very competitive with those from state-of-the-art nonparallel technologies.