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The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
Published 6 Feb 2015 in math.CA, math.ST, physics.data-an, stat.AP, stat.ME, and stat.TH | (1502.02049v1)
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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