| Construction of orthogonal multiwavelets with short sequence via genetic algorithm |
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| 作者姓名： | PAN Jin JIAO Licheng CHEN Li |
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| 作者单位： | Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China,Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China,Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of china (Grant No. 69772029) and “863” project |
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| 摘 要： | A multiwavelet can possesses the properties of orthogonality, symmetry, and compact support simul taneously, which is impossible for scalar wavelets. A method to determine the multiwavelets from a class of multi-scaling functions is presented using the genetic algorithm, which not only makes the guideline to find multiwavelets clearly and simplely, but also lays a foundation for the application of multiwavelets theory.
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| 关 键 词： | multiwavelet short sequence genetic algorithm |
Construction of orthogonal multiwavelets with short sequence via genetic algorithm |
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| PAN Jin,JIAO Licheng,CHEN Li.Construction of orthogonal multiwavelets with short sequence via genetic algorithm[J].Progress in Natural Science,2000,10(4):294-301. |
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| Authors: | AN Jin JIAO Licheng CHEN Li |
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| Institution: | Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China,Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China,Key Laboratory of Radar Signal Processing, Xidian University, Xi' an 710071, China |
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| Abstract: | A multiwavelet can possesses the properties of orthogonality, symmetry, and compact support simul taneously, which is impossible for scalar wavelets. A method to determine the multiwavelets from a class of multi-scaling functions is presented using the genetic algorithm, which not only makes the guideline to find multiwavelets clearly and simplely, but also lays a foundation for the application of multiwavelets theory. |
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| Keywords: | multiwavelet short sequence genetic algorithm |
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