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Bound ratio minimization of filter bank frames

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journal contribution
posted on 06.12.2017, 00:00 by Li Chai, J Zhang, C Zhang, E 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.

Funding

Category 2 - Other Public Sector Grants Category

History

Volume

58

Issue

1

Start Page

209

End Page

220

Number of Pages

12

ISSN

1053-587X

Location

Piscataway, United States

Publisher

Institute of Electrical and Electronics Engineers Inc

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Monash University; Nanyang Technological University; Not affiliated to a Research Institute; Universityá di Firenze, Italy; Wuhan ke ji da xue;

Era Eligible

Yes

Journal

IEEE transactions on signal processing.

Exports