On impulse responses and representations of multidimensional linear systems
Irwin W. Sandberg · 2004
Abstract:- An expression is given for the most general input-output map associated with the members of a certain important large family of multidimensional linear systems. This expression is a uniform limit of a convolution. Also given is a necessary and sufficient condition under which the limit can be written as a convolution, and we relate this to the concepts of an impulse response and a q-response limit, and to the flawed concept of the Dirac impulse function. Key-Words:- impulse responses, linear systems, multidimensional systems, shift-invariant systems. 1