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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 247-253.

• 论文 • 上一篇    下一篇

CONSTRUCTION OF WAVELET BASES WITH VANISHING MOVEMENT

彭瑞仁1, 陈基明1, 彭康2   

  1. 1. Science College, Shanghai University, Shanghai 200072, P. R. China;
    2. Changzhou Textile Industrial College, Changzhou 213000, P. R. China
  • 收稿日期:1998-01-30 修回日期:1998-12-20 出版日期:1999-03-18 发布日期:1999-03-18

CONSTRUCTION OF WAVELET BASES WITH VANISHING MOVEMENT

Peng Ruiren1, Chen Jiming1, Peng Kang2   

  1. 1. Science College, Shanghai University, Shanghai 200072, P. R. China;
    2. Changzhou Textile Industrial College, Changzhou 213000, P. R. China
  • Received:1998-01-30 Revised:1998-12-20 Online:1999-03-18 Published:1999-03-18

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摘要： 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 O(|t|-N) (t→∞) of and has N-2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N= 4 is also given.

关键词: vanishing movement, scaling function, orthogonal mother wavelet

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 O(|t|-N) (t→∞) of and has N-2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N= 4 is also given.

Key words: vanishing movement, scaling function, orthogonal mother wavelet

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