Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (3): 277-283.

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Nonorthogonal Wavelet Packets of Multiplicity r

Feng Zhigang1, Chen Gang2   

  1. 1. Zhenjiang Teachers College, Zhenjiang 212003;
    2. Zhejing University, Hangzhou 310027
  • Received:1996-10-21 Online:1998-09-26 Published:1998-09-26

Abstract: In this paper, we study the multiresolution analysis (Vm)mz of L2 (R) generated by r(finite) scaling functions φ1,φ2,…,φr. We derive the conditions of direct wavelet and wavelet packets decomposition of L2(R). The (dual) nonorthogonal wavelet packets and the stability of their basis are investigated and some results are presented.

Key words: Multiresolution analysis, Scaling function, Riesz base

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