Abstract

It is understood how to transform a linear periodically time-varying (LPTV) filter/difference equation into an equivalent multiple-inputlmultiple-output (MIMO) structure, or transfer matrix, but no published method exists for the reverse operation. This paper now presents a technique to return from the MIMO structure to the original LPTV difference equation. This new result is then used to 'approximate' a MIMO structure with a single LPTV filter, represent parallel and cascade connections of LPTV systems as single LPTV filters, implement order reduction of a LPTV difference equation, and finally obtain a LPTV difference equation representation that is equivalent to a LPTV state-space structure.

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