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FrameTheoretic Analysis and Design of Oversampled Filter Banks (1996)
| Content Provider | CiteSeerX |
|---|---|
| Author | Bolcskei, Helmut Hlawatsch, Ranz Feichtingerb, Hans G. |
| Description | We provide a frame-theoretic analysis of oversampled and critically sampled, FIR and IIR, uniform filter banks (FBs). Our analysis is based on a relation between the polyphase matrices and the frame operator. For a given oversampled analysis FB, we parameterize all synthesis FBs providing perfect reconstruction, and we discuss the minimum norm synthesis FB and its approximative construction. We find conditions for a FB to provide a frame expansion. Paraunitary and biorthogonal FBs are shown to correspond to tight and exact frames, respectively. A new procedure for the design of paraunitary FBs is formulated. We show that the frame bounds are related with the eigenvalues of the polyphase matrices and the oversampling factor, and that they determine important numerical properties of the FB. 1. Proceedings of ISCAS, Atlanta, II:409--412 |
| File Format | |
| Language | English |
| Publisher Date | 1996-01-01 |
| Access Restriction | Open |
| Subject Keyword | Polyphase Matrix Biorthogonal Fbs Frame Operator Approximative Construction Frametheoretic Analysis Synthesis Fbs Paraunitary Fbs Frame-theoretic Analysis Oversampling Factor Perfect Reconstruction Oversampled Analysis Fb Uniform Filter Bank New Procedure Frame Bound Frame Expansion Oversampled Filter Bank Important Numerical Property Minimum Norm Synthesis Fb |
| Content Type | Text |
| Resource Type | Article |
