Wavelets for Elliptical Waveguide Problems
Classical Analysis and ODEs
2015-04-24 v2 Numerical Analysis
Abstract
New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelets derived by this method have potential application in the fields of optics, microwaves and electromagnetism.
Cite
@article{arxiv.1504.05262,
title = {Wavelets for Elliptical Waveguide Problems},
author = {M. M. S. Lira and H. M. de Oliveira and R. J. Cintra and R. M. Campello de Souza},
journal= {arXiv preprint arXiv:1504.05262},
year = {2015}
}
Comments
5 pages, 4 figures. in: 2002 WSEAS International Conference on Wavelet Analysis and Multirate Systems, Vouliagmeni, Greece. arXiv admin note: substantial text overlap with arXiv:1501.07255