含未知参数的多分量Chirp信号的分数阶傅里叶分析

The Fractional Fourier Analysis of Multicomponent Chirp Signals with Unknown Parameters

目的 提出基于分数阶傅里叶变换(FRFT)的含未知参数的多分量Chirp信号的检测和参数估计方法方法 由分数阶傅里叶变换的Chirp基分解特性及其与时频分布的关系论证多分量Chirp信号的分数阶傅里叶分析方法,并通过计算机模拟验证方法的有效性结果与结论 和联合的WignerVille分布(WVD)及Hough变换(HT)方法相比,基于FRFT的含未知参数的多分量Chirp信号的分析方法,不用考虑多分量信号的交叉项问题,从而省略了WVD的直角坐标到极坐标转换和两维扫描的Hough变换。

Aim To propose a new approach to the detection and estimation for multicomponent chirp signals with unknown parameter using the fractional Fourier transform(FRFT). Methods The new method was investigated and simulated, based on the property of Chirp basis decomposition of FRFT and its relationship with the Wigner Ville distribution(WVD). Results and Conclusion Compared with the WVD HT method, the new FRFT based approach need not consider the cross term interference in the case of multicomponent signals, therefore the WVD interpolation from the cartesian coordinates to the polar coordinates and the two dimensional sweeping procedure of the Hough transform can be omitted.