Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model
comp-gas
2008-02-03 v1 Cellular Automata and Lattice Gases
Abstract
We report the first application of complex symmetric wavelets to the numerical simulation of a nonlinear signal propagation model. This model is the so-called nonlinear Schrodinger equation that describes, for instance, the evolution of the electric field amplitude in nonlinear optical fibers. We propose and study a new way to implement a global space-time adaptive grid, based on interpolation properties of higher-order scaling functions.
Keywords
Cite
@article{arxiv.comp-gas/9403006,
title = {Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model},
author = {L. Gagnon and J. M. Lina and B. Goulard},
journal= {arXiv preprint arXiv:comp-gas/9403006},
year = {2008}
}
Comments
4 pages, compressed and uuencoded postcript file (final size: 720 Kbytes) Submitted to 7th SP Workshop on Signal Analysis and Array Processing