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Some aspects of multidimensional convolution

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2 Author(s)
E. B. Hall ; Dept. of Electr. Eng., Southern Methodist Univ., Dallas, TX, USA ; G. L. Wise

It is shown that multidimensional convolution need not be associative. Further, for any positive integer k, it is shown that the multidimensional convolution of two real valued, bounded, integrable, nowhere zero functions defined in Rk can be identically equal to zero. These results are discussed in an algebraic setting, and a consequence involving random fields is briefly considered. Several aspects of multidimensional convolution that would be of interest to the signal processing community are included

Published in:

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Date of Conference:

14-17 Apr 1991