Abstract
A new transform that is useful for the analysis of linear, time-varying (shift-variant) digital filters containing the gener- alized delay elements, as defined in earlier pages, constant multipliers and adders is proposed and some properties of the transform are derived. The algorithm based on Theorem 1 for computing the response of such filters is very simple. This algorithm can also be used to synthesize time-varying digital filters from given input-output relationship by reducing the problem to that of synthesizing time-invariant digital filters.
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