Construction of Wavelet Bases with Vanishing Movement

Peng Ruiren; Chen Jiming; Peng Kang

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Peng Ruiren, Chen Jiming, Peng Kang. Construction of Wavelet Bases with Vanishing Movement[J]. Applied Mathematics and Mechanics, 1999, 20(3): 235-240.

Citation:

Peng Ruiren, Chen Jiming, Peng Kang. Construction of Wavelet Bases with Vanishing Movement[J]. Applied Mathematics and Mechanics, 1999, 20(3): 235-240.

Citation:

Peng Ruiren, Chen Jiming, Peng Kang. Construction of Wavelet Bases with Vanishing Movement[J]. Applied Mathematics and Mechanics, 1999, 20(3): 235-240.

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Construction of Wavelet Bases with Vanishing Movement

1.
Science College, Shanghai University;Shanghai 200072, P. R. China;
2.
Changzhou Textile Industrial Coll, Changzhou, 213000, P. R. China

Received Date: 1998-01-20
Rev Recd Date: 1998-12-20
Publish Date: 1999-03-15

Abstract

Abstract

A kind of mother wavelet with good properties is constructed for any N≥2, which is di-f ferentiable for N times, converges to zero at the order of O|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.
- vanishing movement,
- scaling function,
- orthgonal mother wavelet

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References(3)

References

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[2]	崔锦泰.小波分析导论[M].程正兴译.西安:西安交大出版社,1995
[3]	彭瑞仁.信息技术中的数据压缩——快速取样定理[J].上海工业大学学报,1994,15(4)