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多元多重向量值正交小波包的性质 被引量:1

Multivariate Orthogonal Multiple Vector-valued Wavelet Packets
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摘要 推广了多元正交小波包的概念,给出了多元多重向量值正交小波包的定义及其构造方法.讨论了这种向量值小波包的性质,由此得到空间L^2(R^n,C^r×r)的一组新的正交基. The notion of orthogonal multivariate wavelet multivariate multiple vector-valued wavelet packets is packets given presented. The properties for the orthogonal multivariate discussed. Finally, a new orthogonal basis of L^2(R^n,C^r×r) is vector-valued wavelet packets. is generalized. The definition for orthogonal and a procedure for constructing them is multiple vector-valued wavelet packets are obtained by using the orthogonal muhivariate
出处 《北华大学学报(自然科学版)》 CAS 2006年第1期1-5,共5页 Journal of Beihua University(Natural Science)
基金 河南省自然科学基金项目(0211044800) 吉林省教育厅“十五”科研规划项目
关键词 正交 多元 向量值多分辨分析 向量值尺度函数 向量值小波包 Orthogonal Multivariate Vector-valued multiresolution analysis Vector-valued scaling functions Vector-valued wavelet packets
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参考文献9

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二级参考文献3

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共引文献34

同被引文献5

  • 1MARTIN M B,BELL A E.New Image Compression Technique using Multiwavelet Packets[J].IEEE Trans Image Processing(S 1057-7149),2001,10(4):500-511.
  • 2PHILIPPE P,SAINT-MARTIN F M,LEVER M.Wavelet Packet Filterbanks for Low Time Delay Audio Coding[J].IEEE Trans Speech and Audio Processing(S 1063-6676),1999,7(3):310-322.
  • 3XIA X G,SUTER B W.Vector-valued Wavelets and Vector Fiter Banks[J].IEEE Trans Signal Processing(S 1053-587X),1996,44(3):508-518.
  • 4SHEN Z.Nontensor Product Wavelet Packets in L2(Rs)[J].SIAM Math Anal(S 1095-7154),1995,26(4):1061-1074.
  • 5杨守志,程正兴.a尺度多重正交小波包[J].应用数学,2000,13(1):61-65. 被引量:35

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