Orthogonal Wavelet Filters with Minimum RMS Bandwidth

Author

Tay, David B. H. ; Zhiping Lin ; Murugesan, Sugumar

Author_Institution

Dept. of Electron. Eng., LaTrobe Univ., Bundoora, VIC, Australia

Volume

21

Issue

7

fYear

2014

fDate

Jul-14

Firstpage

819

Lastpage

823

Abstract

For a time-limited sequence, the Root-Mean-Square (RMS) bandwidth is the normalized second moment of the spectrum. The RMS bandwidth is a useful and analytically tractable measure of the frequency localization of a discrete-time filter. In this work the design of orthogonal wavelet filter banks with a prescribed number of Vanishing Moment (VM) and having a minimum RMS bandwidth is considered. It is shown that the design problem can be cast as a convex optimization problem for which efficient algorithms and software for its solution exist.

Keywords

channel bank filters; discrete time filters; optimisation; wavelet transforms; VM; convex optimization problem; discrete time filter; frequency localization; minimum RMS bandwidth; normalized second moment; orthogonal wavelet filter banks; orthogonal wavelet filters; root-mean-square bandwidth; time-limited sequence; vanishing moment; wavelet transform; Bandwidth; Educational institutions; Frequency measurement; Passband; Polynomials; Signal processing algorithms; Wavelet transforms; Frequency localization; orthogonal filter banks (FBs); wavelet transform;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2014.2318691

Filename

6802443