Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the Space of Orthonormal Wavelets: Additional Constraints to Ensure Two Vanishing Moments

Full text
Author(s):
Paiva, Henrique Mohallem [1] ; Martins, Marcelo Nascimento [2] ; Harrop Galvao, Roberto Kawakami [2] ; Lisboa Mohallem Paiva, Juliana Pereira [3]
Total Authors: 4
Affiliation:
[1] EMBRAER, Flight Controls Syst, Sao Jose Dos Campos, SP - Brazil
[2] ITA, Dept Elect Engn, Sao Jose Dos Campos, SP - Brazil
[3] UNIVAP, Dept Biomed Engn, Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: IEEE SIGNAL PROCESSING LETTERS; v. 16, n. 1-3, p. 101-104, JAN-MAR 2009.
Web of Science Citations: 9
Abstract

This letter extends the formulation developed by Sherlock and Monro for parameterization of orthonormal wavelet filter banks. Additional constraints are proposed to ensure that the resulting wavelets have at least two vanishing moments. The remaining degrees of freedom are re-parameterized in a convenient form, which results in a convex set of feasible parameter values. An example involving wavelet adaptation in the context of signal compression is presented for illustration. In this case, the additional constraints improve the outcome of the optimization algorithm employed to adjust the filter bank. (AU)

FAPESP's process: 06/58850-6 - Diagnosis, prognosis and fault accommodation for dynamical systems
Grantee:Takashi Yoneyama
Support Opportunities: Research Projects - Thematic Grants