Design and application of Hilbert transform pairs of wavelet bases
Debin Yang · Journal of University of Science and Technology Beijing · 2008
A method for designing Hilbert transform pairs of orthogonal and biorthogonal wavelet bases was proposed,which can translate the problem into resolving algebraic equations via a flat fractional delay filter based on the sufficient and necessary condition for constructing wavelet.It avoids performing spectral factorization.Experiments show that the dual-tree complex wavelet transform(DT-CWT)based on the wavelet bases constructed by this method can more fit to extract features than the real discrete wavelet transform(DWT).