Characteristics of biorthogonal multiple vector-valued wavelet packets

Qingjiang Chen, Zhang Tong-qi · Yunnan Daxue xuebao. Shehui kexue ban · 2006

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 L~2(R,C~(s×s)) are constructed from the biorthogonal multiple vector-valued wavelet packets.

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