CONSTRUCTION OF MRA E-TIGHT FRAME WAVELETS, MULTIPLIERS AND CONNECTIVITY PROPERTIES

被引：2

作者：

Li, Deng-Feng ^{[1
]}

Cheng, Jun-Fang ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Informat Sci, Inst Appl Math, Kaifeng 475001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2011年 / 9卷 / 05期

关键词：

Wavelet; MRA E-tight frame wavelet; multiplier; arcwise connected; LOW-PASS FILTERS; SUBSPACES;

D O I：

10.1142/S0219691311004274

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A method that constructs an MRA E-tight frame wavelet by using a generalized low pass E-filter is given, and it is showed that all of MRA E-tight frame wavelets can be obtained via the method, where the dilation matrix E is the quincunx matrix or the matrix consists of (0, 1)(T) and (2, 0)(T). Furthermore, the properties of MRA E-tight frame wavelet multipliers as well as E-pseudoscaling function multipliers and generalized low pass E-filter multipliers are characterized. In addition, as an application of these multipliers, we discuss the connectivity of the set of all MRA E-tight frame wavelets in L-2(R-2).

引用

页码：713 / 729

页数：17

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