Minimal realization for lifted periodic filters

Practical applications in signals and systems often deal with lifted models of periodic digital filters, to which well-known methods and computing software for linear time-invariant (LTI) systems can be applied in the analysis and synthesis of periodic filters. When the design of a periodic filter is based on the lifted model, the resultant filter is usually in the lifted LTI form and needs to be further converted into the periodic form for implementational and computational purposes. In this paper, we present a computational procedure for obtaining a minimal realization of periodic digital filters from the fifted model.This work was supported by the Australian Research Council.