The Generalized Wavelets Based on Meyer Wavelet

Authors:
Xudong Teng;Xiao Yuan
Affiliations:
College of Electronic & Electric, Shanghai University of Engineering Science, Shanghai, P.R. China 201600;College of Electronic & Information, Sichuan University, Chengdu, P.R. China 610064
Venue:
ICCSA '09 Proceedings of the International Conference on Computational Science and Its Applications: Part I
Year:
2009

Citing 6
Cited 1

Ten lectures on wavelets

Ten lectures on wavelets
Signals & systems (2nd ed.)

Signals & systems (2nd ed.)
Digital Signal Processing: A Computer-Based Approach

Digital Signal Processing: A Computer-Based Approach
An Introduction to Wavelets

IEEE Computational Science & Engineering
On the Differentiable Structure of Meyer Wavelets

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Harmonic wavelets towards the solution of nonlinear PDE

Computers & Mathematics with Applications

Power line interference filtering on surface electromyography based on the stationary wavelet packet transform

Computer Methods and Programs in Biomedicine

Quantified Score

Hi-index	0.00

Visualization

Abstract

Starting with investigating the Meyer scaling function, the original Meyer bases are extended to the generalized Meyer wavelet by introducing a time-shift factor into Meyer scaling coefficient functions in this paper. These new wavelets not only inherit many basic properties of the classical Meyer wavelets, such as orthonomality, time-frequency localization and so on, but also improve some performances of the Meyer wavelets. In addition, the symmetry of the generalized Meyer wavelets is also discussed in the paper, and a series of generalized scaling coefficients are given for practical applications.