Optical Flixed-Point Arithmetic

Richard P. Bocker; Mark E. Lasher; William J. Miceli; Richard H. Patterson; Barry L. Drake

doi:10.1117/12.949716

4 January 1986 Optical Flixed-Point Arithmetic

Richard P. Bocker, Mark E. Lasher, William J. Miceli, Richard H. Patterson, Barry L. Drake

Proceedings Volume 0564, Real-Time Signal Processing VIII; (1986) https://doi.org/10.1117/12.949716
Event: 29th Annual Technical Symposium, 1985, San Diego, United States

Abstract

The DMAC (Digital Multiplication by Analog Convolution) algorithm has been shown to be one technique for performing optical matrix-multiplication with improved precision. Past work in this area has addressed fixed-point arithmetic only. Presented in this paper is an extension of the DMAC algorithm for handling floating-point binary numbers as well. However, the technique employed for handling floating-point numbers is based on fixed-point concepts. For this reason we choose to call the arithmetic as being flixed-point, since it is a hybrid combination of both floating and fixed-point arithmetic. In this paper we also describe an acousto-optical time-integrating architecture using binary flixed-point arithmetic to perform matrix-vector multiplication. By employing an array of full-adders in conjunction with the photodetector array at the back-end of this architecture, it is possible to avoid generating mixed binary outputs that normally result through the use of the DMAC algorithm. Hence, we eliminate the need for analog-to-digital converters needed to convert mixed binary to pure binary. Preliminary experimental results are also presented.

Citation Download Citation

Richard P. Bocker, Mark E. Lasher, William J. Miceli, Richard H. Patterson, and Barry L. Drake "Optical Flixed-Point Arithmetic", Proc. SPIE 0564, Real-Time Signal Processing VIII, (4 January 1986); https://doi.org/10.1117/12.949716

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