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Optimal noise reduction in oversampled PR filter banks

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posted on 2024-07-09, 18:08 authored by Li Chai, Jingxin ZhangJingxin Zhang, Cishen Zhang, Edoardo Mosca
This paper studies the optimal noise reduction problem for oversampled filter banks (FBs) with perfect reconstruction (PR) constraint. Both the optimal design and worst case design are considered, where the former caters for the noise with known power spectral density (PSD) and the latter for the noise with unknown PSD. State-space based explicit formulae involving only algebraic Riccati equation and matrix manipulations are provided for the general (IIR or FIR) oversampled PR FBs, and the relations between different cases are analyzed and revealed. Extensive numerical examples are provided to illustrate the proposed design methods and to show their effectiveness.

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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

57

Issue

10

Pagination

13 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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