The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
Classical Analysis and ODEs
2015-02-10 v1 Statistics Theory
Data Analysis, Statistics and Probability
Applications
Methodology
Statistics Theory
Abstract
In continuous-time wavelet analysis, most wavelet present some kind of symmetry. Based on the Fourier and Hartley transform kernels, a new wavelet multiresolution analysis is proposed. This approach is based on a pair of orthogonal wavelet functions and is named as the Fourier-Like and Hartley-Like wavelet analysis. A Hilbert transform analysis on the wavelet theory is also included.
Cite
@article{arxiv.1502.02049,
title = {The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms},
author = {L. R. Soares and H. M. de Oliveira and R. J. Cintra},
journal= {arXiv preprint arXiv:1502.02049},
year = {2015}
}
Comments
7 pages, 10 figures, Anais do XXII Simp\'osio Brasileiro de Telecomunica\c{c}\~oes, Campinas, 2005