[1]CHEN Qingjiang,Feng Jinshun,Cheng Zhengxing.The construction of orthogonal wavelets with multiple vector values is tightly supported[J].Journal of Zhengzhou University (Engineering Science),2005,26(04):102-106.[doi:10.3969/j.issn.1671-6833.2005.04.026]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
26
Number of periods:
2005年04期
Page number:
102-106
Column:
Public date:
1900-01-01
- Title:
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The construction of orthogonal wavelets with multiple vector values is tightly supported
- Author(s):
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CHEN Qingjiang; Feng Jinshun; Cheng Zhengxing
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- Keywords:
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- CLC:
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- DOI:
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10.3969/j.issn.1671-6833.2005.04.026
- Abstract:
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By introducing the concepts of vector value multi-resolution analysis and orthogonal wavelets of multiple vector values, using the theory of imitation vector filter and Fourier transform, the sufficient conditions for the existence of orthogonal wavelets of multiple vector values are obtained, and the orthogonal wavelet function of multiple vector values is constructed by using multi-resolution analysis methods and matrix theory, and a class of orthogonal wavelets with tight support vector values is given a number of orthogonal scale functions suitable for certain conditions, and a construction algorithm for orthogonal wavelets of multiple vector values is given, and a corresponding construction example is given.