The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
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math.STphysics.data-anstat.APstat.MEstat.TH
keywords
waveletanalysisfourier-likehartley-likehilberttransformapproachcontinuous-time
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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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