Singularity detecting with the second generation wavelet
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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.
Key wordsbiorthogonal wavelet lifting scheme secondgeneration wavelets singularity
CLC numberO 174.2
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