For this discussion, let the convolution matrix have dimensions M × K, the filter matrix have dimensions K × N and the output matrix have dimensions M × N and let M, N, and K be divisible by 16. Since ...
Abstract: In this paper, we study the validity of the usual convolution sum sampling representation of linear time-invariant (LTI) systems. We consider continuous input signals with finite energy that ...
Abstract: Inner product evaluation can be considered to be basic to all digital signal processing algorithms. Distributed arithmetic (DA) is a bit serial memory-oriented method that implements inner ...
SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 941-955 (15 pages) Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes ...