A Systolic Architecture For High-Speed Two-Dimensional Convolutions In Finite-Field Arithmetic

Harold A. Klotz Jr.

doi:10.1117/12.936890

4 April 1986 A Systolic Architecture For High-Speed Two-Dimensional Convolutions In Finite-Field Arithmetic

Harold A. Klotz Jr.

Proceedings Volume 0696, Advanced Algorithms and Architectures for Signal Processing I; (1986) https://doi.org/10.1117/12.936890
Event: 30th Annual Technical Symposium, 1986, San Diego, United States

Abstract

A two-dimensional linear-convolution algorithm is presented which couples the efficiency of the polynomial transform convolution-algorithm with the parallelism of finite-field arithmetic. This algorithm requires fewer arithmetic operations than most two-dimensional convolution algorithms, and possesses a structure which facilitates systolic architectures. Forming the polynomial transform in a finite field allows large numbers to be broken into small residues, each of which may be processed in parallel. A systolic architecture is described which may be used to evaluate two-dimensional convolutions in 0(N) processor cycles. This architecture is comprised of engagement processors, to form the polynomial transform, and pipelined processors, to form the polynomial product.

Citation Download Citation

Harold A. Klotz Jr. "A Systolic Architecture For High-Speed Two-Dimensional Convolutions In Finite-Field Arithmetic", Proc. SPIE 0696, Advanced Algorithms and Architectures for Signal Processing I, (4 April 1986); https://doi.org/10.1117/12.936890

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