Issue No. 08 - August (1980 vol. 29)
R.W. Heuft , Department of Electrical Engineering, University of Waterloo
A special purpose computer is described to evaluate the discrete convolution of two sequences of numbers. This computer abandons the traditional model of convolution as a series of inner products which, for input sequences of length n, requires n multipliers and (n - 1) adders to complete a convolution calculation in (2n - 1) time steps. Instead, it is shown that by reorganizing the algorithm, n interconnected processing units are able to evaluate a convolution in n time steps. Each processing unit consists of a multiplier, an adder, and the necessary buffers. In addition to providing increased throughput, the proposed organization results in a highly modular structure with a well defined interconnection pattern.
modular structure signal processor, Convolution, fast algorithm, large-scale integration (LSI)
R.W. Heuft, W.D. Little, "Convolution Computer", IEEE Transactions on Computers, vol. 29, no. , pp. 738-740, August 1980, doi:10.1109/TC.1980.1675658