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arXiv · 1502.02049

The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms

L. R. Soares·H. M. de Oliveira·R. J. Cintra
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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.

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L. R. Soares, H. M. de Oliveira, R. J. Cintra. 2015-02-06. The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms. https://arxiv.org/abs/1502.02049

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