Some Characterizations of Parseval Frame Wavelet

被引：0
|
作者：
Wu, Guochang [1 ]
Wang, Junmin [1 ]
机构：
[1] Henan Univ Finance & Econ, Coll Informat, Zhengzhou, Peoples R China
来源：
PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND NATURAL COMPUTING, VOL II | 2009年
关键词：
Generalized low pass filter; Pseudo-scaling function; MRA Parseval frame wavelets;
D O I：
10.1109/CINC.2009.15
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper characterizes all generalized low pass filters and MRA Parseval frame wavelets in L-2(R-n) with matrix dilations of the form (Df)(x) = root 2f (Ax), where A is an arbitrary expanding n x n matrix with integer coefficients, such that vertical bar detA vertical bar = 2. The pseudo-scaling functions, generalized low pass filters and MRA Parseval frame wavelets are studied and some important properties about them are given.
引用
收藏
页码：530 / 533
页数：4
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