中文摘要：

多分量线性调频连续波（LFMCW）信号的截获和特征提取是雷达情报侦察的难点,为了实现对多分量LFMCW信号的快速检测和有效分离,提出了一种基于周期分数阶Fourier变换（PFRFT）的多分量LFMCW雷达信号分离新方法。首先介绍了PFRFT,分析了PFRFT和FRFT之间的关系,讨论了LFMCW信号的PFRFT特征。然后给出了一种离散PFRFT的计算方法,结合周期分数阶Fourier域（PFRFD）的窄带滤波和CLEAN算法实现了多分量LFMCW信号的分离。仿真结果表明：①PFRFT的计算效率较周期Wigner-Hough变换（PWHT）具有明显优势;②LFMCW信号分量在特定PFRFD中具有能量峰值,分离后能较好保留时频特征;③当两个LFMCW信号分量的功率相差较大时,适合在PFRFD分离,反之适合在时域分离;④当信噪比（SNR）为0dB时,两个具有相同功率的LFMCW信号分量分离后,与初始信号分量的相关系数都达到了0.9以上。

英文摘要：

The interception and feature extraction of multi-component linear frequency modulation continuous waveform （LFMCW） signals is difficult to perform for a radar intelligence reconnaissance system. In order to fast detect and efficiently separate multi-component LFMCW radar signals, a novel method is presented. First, with the introduction of periodic frac- tional Fourier transform （PFRFT）, the relationship between PFRFT and FRFT is analyzed, and the PFRFT of a LFMCW sig- nal is discussed. Then, a numerical computation method of discrete PFRFT is given, and the separation of the multi-compo- nent LFMCW signals is realized by narrowband filtering on the periodic fractional Fourier domain （PFRFD） with CLEAN. Fi- nally, simulation results show several conclusions： （a） the computation efficiency of PFRFT outperforms periodic Wigner- Hough transform （PWHT） ; （b） the LFMCW signal component has energy peak on a certain PFRFD and preserves its time- frequency characteristic after separating; （c） when the powers of two LFMCW signals are widely different, it is efficient to separate on the PFRFD, otherwise separation on the time domain is better; （d） when the two LFMOW signal components have similar powers and the signal noise ratio （SNR） is 0 dB, the correlation coefficients between the separated and original LFMCW signal components are both greater than 0.9.