Cart (Loading....) | Create Account
Close category search window
 

The discrete wavelet transform for a symmetric-anti symmetric multiwavelet family on the interval

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Haixiang Wang ; Dept. of Chem., Rice Univ., USA ; Johnson, B.R.

The Chui-Lian multiwavelet family of approximation order three is extended to serve as a basis for an orthogonal discrete multiwavelet transform on the interval. This requires, in addition to the original symmetric and antisymmetric pairs of scaling functions and wavelets, four new functions of each type at each edge of the interval, i.e., one more than required just to preserve the approximation order. The criteria are given that such edge functions must satisfy in order to allow multiresolution analysis of data sequences without special constraints on endpoint behavior or use of periodic boundary conditions, and a specific choice is examined in applications to both noiseless and noisy data. These are accomplished through the development of interval-basis extensions for both an earlier multiwavelet projection-based prefilter/postfilter combination and a multiwavelet vector thresholding algorithm.

Published in:

Signal Processing, IEEE Transactions on  (Volume:52 ,  Issue: 9 )

Date of Publication:

Sept. 2004

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.