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| 线性正则变换与时频分布 | |
| 引用本文： | 向强,秦开宇,张传武.线性正则变换与时频分布[J].云南大学学报(自然科学版),2009,31(1):27-31. |
| 作者姓名： | 向强 秦开宇 张传武 |
| 作者单位： | 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 |
| 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. |
| 关 键 词： | 线性正则变换 时频分布 Wigner分布 模糊函数 |
| 收稿时间： | 2008-9-20 |
Linear canonical transform and time-frequency distributions |
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| XIANG Qiang,QIN Kai-yu,ZHANG Chuan-wu.Linear canonical transform and time-frequency distributions[J].Journal of Yunnan University(Natural Sciences),2009,31(1):27-31. | |
| Authors: | XIANG Qiang QIN Kai-yu ZHANG Chuan-wu |
| Institution: | 1. College of Automation, University of Electronic Science and Technology of China, Chengdu 610054, China; 2. College of Electrical &; Information, Southwest University for Nationalities, Chengdu 610041, China |
| Abstract: | The linear canonical transform 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. |
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