陈清江, 张同琦, 程正兴, 李学志. 一类多重向量值双正交小波包的刻划[J]. 云南大学学报(自然科学版), 2006, 28(6): 472-477,482.
引用本文: 陈清江, 张同琦, 程正兴, 李学志. 一类多重向量值双正交小波包的刻划[J]. 云南大学学报(自然科学版), 2006, 28(6): 472-477,482.
CHEN Qing-jiang, ZHANG Tong-qi, CHENG Zheng-xing, LI Xue-zhi. Characteristics of biorthogonal multiple vector-valued wavelet packets[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(6): 472-477,482.
Citation: CHEN Qing-jiang, ZHANG Tong-qi, CHENG Zheng-xing, LI Xue-zhi. Characteristics of biorthogonal multiple vector-valued wavelet packets[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(6): 472-477,482.

一类多重向量值双正交小波包的刻划

Characteristics of biorthogonal multiple vector-valued wavelet packets

  • 摘要: 研究向量值小波包.给出一类3尺度多重向量值双正交小波包的定义及构造.运用积分理论与算子理论,刻划了多重向量值双正交小波包的特征,得到多重向量值小波包的双正交公式.进而,得到向量值函数空间L2R,Cs×s)新的Riesz基.

     

    Abstract: It is been to investigate the vector-valued wavelet packets.A class of 3-scale biorthogonal multiple vector-valued wavelet packets is defined and a procedure for constructing them is presented.The properties for the biorthogonal multiple vector-valued wavelet packets are characterized.Biorthogonality fomulae for the multiple vector-valued wavelet packets are obtained.Furthermore,new Riesz bases of L2(R,Cs?s)are constructed from the biorthogonal multiple vector-valued wavelet packets.

     

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