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Construction of orthogonal multiwavelets with short sequence via genetic algorithm
Authors:AN Jin  JIAO Licheng  CHEN Li
Affiliation: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
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.
Keywords:multiwavelet   short sequence   genetic algorithm
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