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| 广义参量Wigner分布函数:一种新的信号双域表示方法 | |
| 引用本文： | 韩利,刘树田,王骐,李润顺,朱邦和.广义参量Wigner分布函数:一种新的信号双域表示方法[J].光子学报,2000,29(10):920-926. |
| 作者姓名： | 韩利 刘树田 王骐 李润顺 朱邦和 |
| 作者单位： | 1. 哈尔滨工业大学333#,邹经湘教授,收转,150001 2. 哈尔滨工业大学应用物理系,150001 3. 哈尔滨工业大学航天电子与光电工程系,150001 |
| 摘 要： | 本文基于分数傅里叶变换的概念,提出了由三个广义参量p1、p2和p3所表征的Wigner分布函数-广义参量Wigner分布函数,然后对其性质进行了讨论,并指出广义参量Wigner分布函数也属于一般的Cohen双线性类,而部分相干光场的互谱密度、传统的Wigner分布函数以及分数Wigner分布函数都可以作为广义参量Wigner分布函数在其广义参量取特殊值时的特例而得到,表明广义参量Wigner分布函数具有比传统的Wigner分布函数更强的信号表征能力. |
| 关 键 词： | 分数傅里叶变换 双域联合表示 傅里叶光学 Wigner分布函数 一般的Cohen双线性类 |
| 收稿时间： | 2000-03-01 |
| 修稿时间： | 2000-3-01 |
WIGNER DISTRIBUTION FUNCTION WITH GENERALIZED PARAMETERS:A NEW DOUBLE-DOMAIN JOINT REPRESENTATION OF SIGNALS |
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| Han Li,Liu Shutian,Wang Qi,Li Runshun,Zhu Banghe.WIGNER DISTRIBUTION FUNCTION WITH GENERALIZED PARAMETERS:A NEW DOUBLE-DOMAIN JOINT REPRESENTATION OF SIGNALS[J].Acta Photonica Sinica,2000,29(10):920-926. | |
| Authors: | Han Li Liu Shutian Wang Qi Li Runshun Zhu Banghe |
| Institution: | 1. Corresponding Address:c/o Prof.Zou Jingxiang, Harbin Institute of Technology, P. O. Box 333, Harbin 150001, China;2. Department of Physics, Harbin Institute of Technology, Harbin 150001, China;3. Department of Astronautic-Electronic and Optronic Engineering, Harbin Institute of Technology, Harbin 150001, China |
| Abstract: | Based on the fractional Fouriertransform(FRT) ,itis proposed the Wigner distribution function with generalized parameters(WDF-GP) ,which is characterized by three parametersp1,p2 and p3.Then its properties have been briefly discussed.The fact that WDF-GP belongs to the Cohen general bilinearclass was also pointed out.Finally, it is demonstrated that some well known relations,such as the cross-spectral density (CSD) of partial coherent optical field,WDF and the fractional Wigner distribution function (FWDF) can be obtained for special cases of the WDF-GP by virtue of special values of paramters.Itshowed thatthe WDF-GP would possessmore powerful capabil- ity to represent signals than thatof WDF. |
| Keywords: | Double-domain joint representation Fourier optics Wigner distribution function Cohen general bilinearclass Fractional Fouriertransform |
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