Overlap-save convolution applied to wavelet analysis

Author

Nealand, James H. ; Bradley, Alan B. ; Lech, Margaret

Author_Institution

Sch. of Electr. & Comput. Syst. Eng., RMIT Univ., Melbourne Vic., Australia

Volume

10

Issue

2

fYear

2003

Firstpage

47

Lastpage

49

Abstract

The discrete wavelet transform (DWT), wavelet packet transform (WPT), and M-band wavelet techniques are often implemented as a cascade of critically sampled filter banks. Many applications apply these techniques to finite frames of samples, leading to distortion in the filtered coefficients near the frame boundaries. Overlap-save convolution (OSC) eliminates boundary distortion for a single filtering process. This article reports an application of OSC for cascaded filter banks, eliminating boundary distortion in the frame-based application of the DWT, WPT, and M-band wavelet techniques.

Keywords

cascade networks; channel bank filters; convolution; discrete wavelet transforms; filtering theory; signal sampling; DWT; M-band wavelet; WPT; cascaded filter banks; critically sampled filter banks; discrete wavelet transform; filtered coefficients distortion; frame boundaries; multirate signal processing; overlap-save convolution; wavelet analysis; wavelet packet transform; Channel bank filters; Convolution; Discrete wavelet transforms; Distortion; Filter bank; Signal processing; Wavelet analysis; Wavelet coefficients; Wavelet packets; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2002.806702

Filename

1179837