Overlap-save convolution applied to wavelet analysis

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.