A polyphase approach to time-varying filter banks

See-May Phoong, Palghat P. Vaidyanathan · 2002

We introduce a polyphase representation for linear time-varying (LTV) filters. Using the proposed polyphase approach, we are able to show some unusual properties of LTV filter bank (FB) that have not been pointed out before. The problem of interchangeability of analysis and synthesis banks is considered. Lossless TVFBs is studied in detail. Perfect reconstruction (PR) can always be obtained for lossless TVFBs. However, in general a PR lossless TVFB will only generate a tight frame.

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