Optical Parallel Quaternary Signed Digit Multiplier For Large Scale Two-Dimensional Array Using Digit-Decomposition Plane Representation

Abstract

An optical parallel quaternary signed digit (QSD) two-dimensional array multiplier basedon digit-decomposition (DDP) representation and duplication-shifting-superimposingalgorithm is proposed in this paper. The multiplication operation is done in three steps; onefor partial products generation and the other two steps perform accumulation to find the DDPplanes of the final result array. QSD multiplication and addition rules are used to obtaina newly derived equations which are suitable for easy optical implementation using basicoptical tools. Finally, simulation results are presented to validate the successful of themultiplication operation.