A PAIR OF ORTHOGONAL WAVELET FRAMES IN L2(Rd)

被引：2
|
作者：
Bhatt, Ghanshyam [1 ]
机构：
[1] Tennessee State Univ, Dept Math Sci, Nashville, TN 37209 USA
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2014年 / 12卷 / 02期
关键词：
Wavelets; frames; polyphase; modulation matrix; orthogonality;
D O I：
10.1142/S0219691314500118
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A simple method of construction of a pair of orthogonal wavelet frames in L-2(R-d) is presented. This is a generalization of one-dimensional case to higher dimension. The construction is based on the well-known Unitary Extension Principle (UEP). The presented method produces the polyphase components of the filters of the wavelet functions, and hence the filters. A pair of orthogonal wavelet frames can be constructed with an extra condition. In the construction, the polyphase matrix is used as opposed to the modulation matrix. This is less restrictive and yields a fewer wavelet functions in the system than in the previously known constructions.
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收藏
页数：12
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