Share Email Print

Proceedings Paper

Fast implementation of wavelet transform for m-band filter banks
Author(s): Jun Tian; Raymond O. Wells
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

An orthogonal m-band discrete wavelet transform has an O(m2) complexity. In this paper, we present a fast implementation of such a discrete wavelet transform. In an orthonormal m-band wavelet system, the vanishing moments and orthogonality conditions are imposed on the scaling filter only. Given a scaling filter, one can design the other m-1 wavelet filters. It is well-known that there are infinitely many solutions in such designing procedure. Here we choose one specific type of solutions and implement the corresponding wavelet transform in a scheme which has complexity O(m). Thus for any scaling filter, one can always construct a full orthogonal m-band wavelet matrix with an O(m) discrete wavelet transform.

Paper Details

Date Published: 26 March 1998
PDF: 12 pages
Proc. SPIE 3391, Wavelet Applications V, (26 March 1998); doi: 10.1117/12.304902
Show Author Affiliations
Jun Tian, Rice Univ. (United States)
Raymond O. Wells, Rice Univ. (United States)

Published in SPIE Proceedings Vol. 3391:
Wavelet Applications V
Harold H. Szu, Editor(s)

© SPIE. Terms of Use
Back to Top