数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 462-467.

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平衡正交不可分多小波的构造

  

  1. Department of Mathematics, Shantou University

  • 收稿日期:2012-12-14 出版日期:2013-09-30 发布日期:2023-02-27
  • 作者简介:XIE Chang-zhen(1964-), female, native of Nanyang, Henan, an associate professor of Shantou University, engages in wavelet analysis and its applications.
  • 基金资助:
    Supported by the NNSF of China(11071152);Supported by the Natural Science Foundation of Guangdong Province(10151503101000025)

Construction of Balanced Orthogonal Nonseparable Multiwavelets

  1. Department of Mathematics, Shantou University


  • Received:2012-12-14 Online:2013-09-30 Published:2023-02-27
  • About author:XIE Chang-zhen(1964-), female, native of Nanyang, Henan, an associate professor of Shantou University, engages in wavelet analysis and its applications.
  • Supported by:
    Supported by the NNSF of China(11071152);Supported by the Natural Science Foundation of Guangdong Province(10151503101000025)

摘要: A general method for constructing bidimensional orthogonal nonseparable multiwavelets is presented. Moreover, this construction method can be extended to the construction of n-dimensional multiwavelets. In addition, we also study some properties of the multiwavelets such as balancing. Finally, we give an example to illustrate our method to construct bidimensional nonseparable compactly supported orthogonal multiwavelets.

关键词: multiwavelets, nonseparable, balanced, orthogonality

Abstract: A general method for constructing bidimensional orthogonal nonseparable multiwavelets is presented. Moreover, this construction method can be extended to the construction of n-dimensional multiwavelets. In addition, we also study some properties of the multiwavelets such as balancing. Finally, we give an example to illustrate our method to construct bidimensional nonseparable compactly supported orthogonal multiwavelets.


Key words: multiwavelets, nonseparable, balanced, orthogonality

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