摘要
Two algorithms for constructing a class of compactly supported conjugate symmetric complex tight wavelet framesψ={ψ1,ψ2}are derived.Firstly,a necessary and sufficient condition for constructing the conjugate symmetric complex tight wavelet frames is established.Secondly,based on a given conjugate symmetric low pass filter,a description of a family of complex wavelet frame solutions is provided when the low pass filter is of even length.When one wavelet is conjugate symmetric and the other is conjugate antisymmetric,the two wavelet filters can be obtained by matching the roots of associated polynomials.Finally,two examples are given to illustrate how to use our method to construct conjugate symmetric complex tight wavelet frames which have some vanishing moments.
基金
supported by the National Natural Science Foundation of China(Grant No.10631080,Grant No.11126291)
Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University,the Scientific Research Foundation of Nanjing University of Information Science and Technology(Grant No.2012X057).
