Modified signed-digit trinary addition using synthetic wavelet filter

The modified signed-digit (MSD) number system has been a topic of interest as it allows for parallel carry-free addition of two numbers for digital op tical computing. In this paper, harmonic wavelet joint transform (HWJT)-bas ed correlation technique is introduced for optical implementation of MSD tr inary adder implementation. The realization of the carry-propagation-free a ddition of MSD trinary numerals is demonstrated using synthetic HWJT correl ator model. It is also shown that the proposed synthetic wavelet filter-bas ed correlator shows high performance in logic processing. Simulation result s are presented to validate the performance of the proposed technique. (C) 2000 Elsevier Science Ltd. All rights reserved.