Abstract
This paper discusses the main analysis issues which pertain the minimal realization problem for discrete-time linear periodic systems. Two different time-invariant reformulations are introduced and their relations with the impulse response pattern of the periodic systems is pointed out. The structural properties of a discrete-time periodic system are finally exploited in order to get a deep insight on the various and articulated aspects of minimal, quasi minimal and uniform realization of a given periodic impulse response pattern.
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