Abstract
A kind of mother wavelet with good properties is constructed for any N ≥2, which is differentiable for N times, converges to zero at the order of 0 (|t|−N) (t→∞) and has N−2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N=4 is also given.
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References
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Communicated by Chien Weizang
Project supported by the National Natural Science Foundation of China (69875009)
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Ruiren, P., Jiming, C. & Kang, P. Construction of wavelet bases with vanishing movement. Appl Math Mech 20, 247–253 (1999). https://doi.org/10.1007/BF02463849
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DOI: https://doi.org/10.1007/BF02463849