The input-output map of linear BIBO-stable discrete-time systems
Abstract
Almost always it is emphasized in the literature that the input-output map of a BIBO-stable (bounded input-bounded output) linear and time invariant systems (LTI-systems) is given by the well known convolution sum. It was 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.
