The ambiguity function associated with the linear canonical transform
The ambiguity function associated with the linear canonical transform
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DOI：
10.1186/1687-6180-2012-138
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发表时间：
2012-07
影响因子：
1.9
通讯作者：
Chen Tian-wen;Li Bing-zhao;Xu Tian-Zhou
中科院分区：
文献类型：
--
作者：
Chen Tian-wen;Li Bing-zhao;Xu Tian-Zhou
本文提出了一种新的与线性正则变换相关的模糊函数（AF），该模糊函数是在线性正则变换和经典模糊变换的基础上定义的。首先，研究了新定义的模糊函数的主要性质和物理意义，结果表明这种模糊函数可以看作是经典模糊函数的一种推广。将新定义的自动对焦与经典的Radon变换相结合，用于线性调频信号的参数检测。通过仿真验证了所得结果的正确性，并与常用时频分析工具进行了比较。
A new kind of ambiguity function (AF) associated with the linearcanonical transform (LCT) is proposed in this article, this new AF is defined based on the LCT and the classical AF. Firstly, the main properties and physical meanings of the newly defined AF are investigated, the results show that this kind of AF can be seen as one generalization of the classical AF. Then, the newly defined AF is applied to detect the parameters of the linear frequency modulated signals by combining with the classical Radon transform. The simulations are performed to verify the correctness of the derived results, and the comparison of the derived results with the common time-frequency analysis tools are also discussed.