Exceptional sets and wavelet packets orthonormal bases

被引：3

作者：

Saliani, S ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 05期

关键词：

wavelet; wavelet packet; QMF orthonormal basis;

D O I：

10.1007/BF01261636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a partial positive answer to a problem posed by Coifman et al. in [1]. Indeed, starting from the transfer function m0 arising from the Meyer wavelet and assuming m0=1 only on [−π/3, π/3], we provide an example of pairwise disjoint dyadic intervals of the form I(n, q)=[2qn, 2q(n+1)), (n, q)εE⊂N×Z, which cover [0, +∞) except for a set A of Hausdorff dimension equal to 1/2, and such that the corresponding wavelet packets 2q/2wn (2qx−k), kεZ, (n, q)εE⊂N×Z form an orthonormal basis of L2(R).

引用

页码：421 / 430

页数：10