基于分数傅里叶变换的信号检测方法

Signal Detection Method Based on Fractional Fourier Transform

作为Fourier变换的一种广义形式,分数阶傅里叶变换(FRFT)同时融合了信号在时域和频域的信息,是一种新的时频分析方法。研究了FRFT计算分解方法,由于线性调频(LFM)信号在FRFT域呈现的冲激特性,以此实现LFM信号的检测。实验结果表明,该方法对LFM信号的检测是有效的。

As a generalization of Fourier transform, the Fractional Fourier Transform（FRFI＇） contains simultaneity the time-frequency information of the signal, and is considered a new tool for time-frequency analysis. This paper discusses some steps of FRFT in signal detection based on the decomposition of FRFT. With the help of the property that a LFM signal can produce a strong impulse in the FRFT domain, the signal can be detected conveniently. Experimental analysis shows that the proposed method is effective in detecting LFM Signals.