The Poincare wavelet transform: Implementation and interpretation

Evgeny A. Gorodnitskiy, Maria V. Perel

Research outputpeer-review

10 Citations (Scopus)

Abstract

Numerical implementation and examples of calculation of the Poincaré wavelet transform for model space-time signals are presented. This transform is a coefficient in the decomposition of solutions of the wave equation in terms of elementary localized solutions found in [1]. Elementary localized solutions are shifted and scaled versions of some chosen solution in a given reference frame, as well as in frames moving with respect to given the one with different constant speeds. We discuss what information about the wave field can be extracted from the Poincaré wavelet transform.

Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction 2011, DD 2011
Pages72-77
Number of pages6
DOIs
Publication statusPublished - 28 Dec 2011
EventInternational Conference Days on Diffraction 2011, DD 2011 - St.Petersburg
Duration: 30 May 20113 Jun 2011

Publication series

NameProceedings of the International Conference Days on Diffraction 2011, DD 2011

Conference

ConferenceInternational Conference Days on Diffraction 2011, DD 2011
CountryRussian Federation
CitySt.Petersburg
Period30/05/113/06/11

Scopus subject areas

  • Electrical and Electronic Engineering

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