Abstract
Adopting the lifting scheme, introduced by Sweldens, a new wavelet is constructed. It overcomes the shortcoming of the classical wavelets that has no flexibility in the number of vanishing moment. Two examples are given to prove the second-generation wavelets's potentialities in the singularity detection of signal: a wavelet with vanishing moment and symmetry can be constructed according to the problem.
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References
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Foundation item: Supported by the National Natural Science Foundation of China (19602014)
Biography: XU Bing-lian (1977-), female, Master candidate, research direction: the wavelets application.
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Bing-lian, X., Xu-ming, Y. Singularity detecting with the second generation wavelet. Wuhan Univ. J. Nat. Sci. 9, 871–874 (2004). https://doi.org/10.1007/BF02850789
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DOI: https://doi.org/10.1007/BF02850789