基于二维分数阶Fourier变换的二维广义连续小波变换  

Two-dimensional Generalized Continuous wavelet transform based on ZD Fractional Fourier transform

作　　者：库福立[1,2] 王刚[2] 吕军[1] 

机构地区：[1]新疆农业大学数理学院,新疆乌鲁木齐830052 [2]新疆师范大学数学科学学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2017年第4期73-75,共3页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：新疆农业大学校前期课题(XJAU201524)

摘　　要：文章基于二维分数阶Fourier变换,引入二维广义连续小波的概念,并给出了二维广义连续小波变换的定义,定义了相应的二维分数阶广义连续小波变换的可允许性条件。并且给出了二维分数阶小波变换的可允许性条件,证明了二维分数阶广义连续小波变换的一个性质定理。最后,得到了二维分数阶广义连续小波的离散形式。Fraction Fourier transform plays an important and wavelet transform plays an important vole in signal processing.In this paper,First we offer the definition of 2 D fractional Generalized continuous wavelet transform based on 2 D Fractional Fourier transform and we also offer the admissible condition of 2 D fractional Generalized continuous wavelet transform. Then,we prove a Theorem on 2 D fractional Generalized continuous wavelet transform is offered.

关 键 词：二维分数阶Fourier变换 可允许性条件 二维广义连续小波变换 

分 类 号：O174.2[理学—数学]