线性正则变换与时频分布  

Linear canonical transform and time-frequency distributions

作　　者：向强[1,2] 秦开宇[1] 张传武[2] 

机构地区：[1]电子科技大学自动化工程学院,四川成都610054 [2]西南民族大学电信学院,四川成都610041

出　　处：《云南大学学报（自然科学版）》2009年第1期27-31,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(60603009)

摘　　要：线性正则变换是一种有用的信号处理工具,它是Fourier变换、分数阶Fourier变换更为广义的形式.Wigner分布和模糊函数是2种经典的时频分布描述方法.利用Wigner分布和模糊函数的性质并借助于线性正则变换矩阵分解形式讨论和描述了线性正则变换与时频分布的关系,给出了几何图形解释,为进一步研究线性正则变换在时频信号分析中的应用奠定了理论基础.The linear canonical transtrorm is a useful tool for signal processing. It is the generalization of the Fourier transform and the fractional Fourier transform. The Wigner distribution function and the ambiguity function are both well - known time - frequency representations. Originally using the properties of Wigner distribution function and the ambiguity function, as well as with the help of the decomposition of the linear canonical transform matrix, it is discribed the relations between the time -frequency distributions and the linear canonical transform and gave geometric interpretation for it. All of these work will help to research the applications of the linear canonical transform on the time -frequency signal analysis.

关 键 词：线性正则变换 时频分布 WIGNER分布 模糊函数 

分 类 号：TN911.7[电子电信—通信与信息系统]