THE INPUT-OUTPUT MAP OF LINEAR BIBO-STABLE DISCRETE-TIME SYSTEMS
Almost always it is emphasized in the literature that
the input-output map of a BIBO-stable
linear and time invariant systems (LTI-systems)
is given by the well known convolution sum. It was recently discovered that
not all discrete-time single-input
single-output LTI systems S are of convolution type.
A complete characterization of all discrete-time
LTI-systems of convolution type is given in the paper.
Keywords: linear systems, signal processing, modelling, filter, convolution