摘要
该文讨论了由有限个尺度函数｛φ1，φ2，…，φr｝所生成的L2（R）上的多分辨分析．并考虑了L2（R）上直接小波分解和直接小波包分解，对（对偶）非正交小波包以及产生它们的基的稳定性作了较为深人的研究，获得了一些结果．
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.
出处
《数学物理学报（A辑）》
CSCD
北大核心
1998年第3期277-283,共7页
Acta Mathematica Scientia
