Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (3): 277-283.
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Feng Zhigang1, Chen Gang2
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Abstract: In this paper, we study the multiresolution analysis (Vm)m∈z 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
Feng Zhigang, Chen Gang. Nonorthogonal Wavelet Packets of Multiplicity r[J].Acta mathematica scientia,Series A, 1998, 18(3): 277-283.
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