New results and open problems on nonuniform filter-banks

S. Akkarakaran, Palghat P. Vaidyanathan · 1999

Nonuniform filter-banks (FBs) have traditionally been built either by cascading uniform ones in a tree structure or by direct design methods that lead to near-perfect reconstruction. However many theoretical issues remain unresolved. This paper begins by pointing out a number of these issues, and summarizes the known conditions for existence of nonuniform perfect reconstruction (PR) FBs. As a new contribution, we simplify some of these conditions and make them more explicit. We provide examples that illustrate some hitherto unobserved connections between these conditions.

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