Title :
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
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2002.806702
