摘要
给出对应于多元双正交多重尺度函数的多重小波包的定义及其构造方法,应用时频分析方法与矩阵理论,讨论了多元多重小波包的双正交性.
In this paper, the definition for the biorthogonal multiple wavelet packets associated with a pair of biorthogonal multiple scaling functions in higher dimension is given and an algorithm for constructing them is proposed. The biorthogonality properties of multivariate biorthogonal muhiwavelet packets has been investigated by means of time-frequency analysis method and matrix theory.
出处
《南阳师范学院学报》
CAS
2007年第6期15-19,共5页
Journal of Nanyang Normal University
基金
河南省自然科学基金资助项目(0511013500)
关键词
双正交
加细方程
多重尺度函数
多分辨分析
多重小波包
biorthogonal
refinement equation
multiple scaling function
muhiresolution analysis
multiplewavelet packets
