THE INPUT-OUTPUT MAP OF LINEAR BIBO-STABLE DISCRETE-TIME SYSTEMS

Holger Boche

   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

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