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Volume 30 Issue 4
Aug.  2021
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Article Contents
CHEN Zhixin, XU Jinwu, YANG Debin. Design and application of Hilbert transform pairs of wavelet bases[J]. Chinese Journal of Engineering, 2008, 30(4): 446-451. doi: 10.13374/j.issn1001-053x.2008.04.046
Citation: CHEN Zhixin, XU Jinwu, YANG Debin. Design and application of Hilbert transform pairs of wavelet bases[J]. Chinese Journal of Engineering, 2008, 30(4): 446-451. doi: 10.13374/j.issn1001-053x.2008.04.046

Design and application of Hilbert transform pairs of wavelet bases

doi: 10.13374/j.issn1001-053x.2008.04.046
  • Received Date: 2006-12-05
  • Rev Recd Date: 2007-03-31
  • Available Online: 2021-08-06
  • 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).

     

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      沈陽化工大學材料科學與工程學院 沈陽 110142

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