基于分数阶傅立叶变换的模糊函数的研究

The Study of Ambiguity Function Based on Fractional Fourier Transform

分数阶傅立叶变换可以看作是傅立叶变换的推广,本文回顾了分数阶傅立叶变换和模糊函数的有关理论,给出了基于分数阶傅立叶变换的模糊函数,讨论了该函数的主要性质。应用实例的仿真实验验证了此函数的有效性。

Fractional Fourier Transform can be considered as Fourier Transform generalization. Firstly, Ambiguity Function and Fractional Fourier Transform is reviewed. Secondly, a new Ambiguity Function theory based on Fractional Fourier Transform is presented. Lastly, an application example and its simulations indicate that the theory does work.