Paper
24 August 1992 Massively parallel optical interconnect for long data stream convolution
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Abstract
Convolution of long sequences of data is often needed for various sensing, signal processing, and pattern recognition applications. In this paper, massively parallel opto-electronic interconnect schemes are proposed to solve the problem of real-time convolution of long (104 - 106) data systems. Based on the Chinese remainder theorem, a 1D data sequence of length N (N equals r1r2, where r1 and r2 are mutually prime to each other) may be permuted into a 2D array of a size r1 by r2. A convolution of the two 1D data sequences each of N points is therefore converted into a convolution of the two corresponding 2D arrays each of a size r1 X r2. A standard 2D optical image convolver sandwiched between an input and an output opto-electronic data permutation devices (interconnect networks) can thus perform the required convolution. Two video rate opto- electronic data permutation schemes which are based on: (1) the use of a modified cathode ray tube (CRT) and (2) a combination of a standard CRT and an optical geometric transformer, respectively, are described. The permuted 2D data are subject to a standard free-space optical convolution before a 2D to 1D inverse permutation to generate the final 1D convolution result. Computer simulation for the entire three-stage algorithm and their results are discussed. Technical problems and fundamental limitations of the proposed schemes are also discussed.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yan Zhang, Yao Li, and H. John Caulfield "Massively parallel optical interconnect for long data stream convolution", Proc. SPIE 1704, Advances in Optical Information Processing V, (24 August 1992); https://doi.org/10.1117/12.139914
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KEYWORDS
Convolution

CRTs

Data conversion

Spatial light modulators

Fourier transforms

Geometrical optics

Optical interconnects

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