Real-time processing of the multiple matrix product using an incoherent optical system

Abstract

A novel optical system for real-time processing of the multiple matrix product is proposed. In this system, all the N × N matrices are kept in the N2 format without any scanning scheme. This system can easily be extended to that for multiplication of more than three matrices by using a holographic unidirectional diffuser. We estimate the operational error and the power efficiency of this system to give guidelines for the design of the matrix masks and the unidirectional diffuser. The preliminary experiments of multiplication of two and three matrices are successfully demonstrated with an average error of 1.9% and 4.7%, respectively.