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Bound Ratio Minimization of Filter Bank Frames

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posted on 2024-07-09, 13:59 authored by Li Chai, Jingxin ZhangJingxin Zhang, Cishen Zhang, Edoardo Mosca
This paper investigates and solves the problem of frame bound ratio minimization for oversampled perfect reconstruction (PR) filter banks (FBs). For a given analysis PRFB, a finite dimensional convex optimization algorithm is derived to redesign the subband gain of each channel. The redesign minimizes the frame bound ratio of the FB while maintaining its original properties and performance. The obtained solution is precise without involving frequency domain approximation and can be applied to many practical problems in signal processing. The optimal solution is applied to subband noise suppression and tree structured FB gain optimization, resulting in deeper insights and novel solutions to these two general classes of problems and considerable performance improvement. Effectiveness of the optimal solution is demonstrated by extensive numerical examples.

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Doctoral Dissertation Research: Does Succession Occur in Marine Soft Substrates

Directorate for Geosciences

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ISSN

1053-587X

Journal title

IEEE Transactions on Signal Processing

Volume

58

Issue

1

Pagination

11 pp

Publisher

IEEE

Copyright statement

Copyright © 2009 IEEE. The published version is reproduced in accordance with the copyright policy of the publisher. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Language

eng

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