Symmetric MRA tight wavelet frames with three generators and high vanishing moments
Symmetric MRA tight wavelet frames with three generators and high vanishing moments
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DOI：
10.1016/j.acha.2004.09.001
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发表时间：
2005
影响因子：
2.5
通讯作者：
B. Han;Qun Mo
中科院分区：
文献类型：
--
作者：
B. Han;Qun Mo
设Z是L2（R）中紧支撑的对称实值加细函数，Z上紧支撑的对称实值掩码。本文证明了在小波变换稳定的假设下，总是可以构造三个小波函数，使得我们给出一个例子来证明关于可加细函数的稳定性的假设是不能放弃的.给出了具有三个紧支撑的实值对称/反对称生成元的对称紧小波框架的例子来说明本文的结果和构造。
Let ϕ be a compactly supported symmetric real-valued refinable function in L2(R) with a finitely supported symmetric real-valued mask on Z. Under the assumption that the shifts of ϕ are stable, in this paper we prove that one can always construct three wavelet functions ψ1, ψ2, and ψ3such that We shall give an example to demonstrate that the assumption on stability of the refinable function ϕ cannot be dropped. Some examples of symmetric tight wavelet frames with three compactly supported real-valued symmetric/antisymmetric generators will be given to illustrate the results and construction in this paper.