MULTIPLEXING PRESERVING FILTERS.

This paper introduces and investigates an interesting class of recursive digital filters that are characterized by preserving the time multiplexing of an input signal, but still filter each individual signal. It shows that any discrete time linear system could be realized as a parallel combination of multiplexing preserving (MP) filters. An important property of decomposing a digital filter of a maximum eigen-value magnitude vertical lambda //m//a//x vertical into l parallel MP filters is that each of these MP filters has a maximum effective eigenvalue magnitude of vertical lambda **l//m//a//x vertical . This suggests a class of recursive realizations of fixed-point digital filters that are free of all finite word-length limit cycles.