TIGHT FRAME CHARACTERIZATION OF MULTIWAVELET VECTOR FUNCTIONS IN TERMS OF THE POLYPHASE MATRIX

被引：13

作者：

Krommweh, Jens ^{[1
]}

机构：

[1] Univ Duisburg Essen, Dept Math, D-47048 Duisburg, Germany

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2009年 / 7卷 / 01期

关键词：

Tight frames; extension principles; polyphase representation; modulation matrix; directional wavelet frames; AFFINE SYSTEMS; L-2(R-D);

D O I：

10.1142/S0219691309002751

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The extension principles play an important role in characterizing and constructing of wavelet frames. The common extension principles, the unitary extension principle (UEP) or the oblique extension principle (OEP), are based on the unitarity of the modulation matrix. In this paper, we state the UEP and OEP for refinable function vectors in the polyphase representation. Finally, we apply our results to directional wavelets on triangles which we have constructed in a previous work. We will show that the wavelet system generates a tight frame for L-2(R-2).

引用

页码：9 / 21

页数：13

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