Title :
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
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2014.2318691
