On alternative wavelet reconstruction formula: a case study of approximate wavelets
Classical Analysis and ODEs
2014-10-09 v2 Numerical Analysis
Abstract
The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the admissibility condition is violated. The case of the transform with the standard Morlet wavelet, which is an important example of such analyzing functions, is discussed.
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Cite
@article{arxiv.1404.2419,
title = {On alternative wavelet reconstruction formula: a case study of approximate wavelets},
author = {Elena A. Lebedeva and Eugene B. Postnikov},
journal= {arXiv preprint arXiv:1404.2419},
year = {2014}
}
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6 pages