广西师范大学学报（自然科学版） ›› 2015, Vol. 33 ›› Issue (4): 30-37.doi: 10.16088/j.issn.1001-6600.2015.04.006

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基于短时分数阶傅里叶变换的非线性调频类信号检测

闫恒庄1,2, 陈军3, 汪飞3, 周建江3   

  1. 1.光电控制技术重点实验室,河南洛阳471009;
    2.中国航空工业洛阳电光设备研究所,河南洛阳471009;
    3.南京航空航天大学电子信息工程学院,江苏南京210016
  • 收稿日期:2015-04-24 出版日期:2015-12-25 发布日期:2018-09-21
  • 通讯作者: 周建江(1962—),男,江苏海安人,南京航空航天大学教授,博士。E-mail: zjjee@nuaa.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(61371170);中央高校基础研究基金资助项目(NJ20140010,NP2015404);江苏省研究生科研创新计划项目(KYLX15_0282)

FM Signal Detection Based on Short-time Fractional Fourier Transform

YAN Heng-zhuang1,2, CHEN Jun3, WANG Fei3, ZHOU Jian-jiang3   

  1. 1. Key Laboratory for Photoelectric Control, Luoyang Henan 471009, China;
    2. LuoyangInstitute of electro-optical devices, Luoyang Henan 471009, China;
    3. College of Electronic and InformationEngineering, Nanjing University of Aeronautics and Astronautics, Nanjing Jiangsu 210016, China
  • Received:2015-04-24 Online:2015-12-25 Published:2018-09-21

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摘要： 在复杂的电磁环境下,低截获概率(low probability of intercept,LPI)机载雷达能够有效地降低无源探测系统对作战飞机的作用距离及跟踪制导精度,从而能够有效地提高作战飞机的突防能力和生存能力。低截获概率机载雷达多使用宽带调制信号,通过使用信号的能量在频域上展开,从而降低雷达辐射信号被敌方截获接收机截获的概率。低截获概率机载雷达信号中最常见的是线性调频类信号(包括线性调频信号和相位编码信号)和非线性调频类信号(包括Costas 码信号和Barker码信号)。本文通过分析非线性调频类信号中的Costas码和Barker码信号的固有特征,采用短时分数阶傅里叶变换,探讨截获接收机对非线性调频类信号的检测方法。由于Costas码和Barker码信号分段可视为近似线性调频信号,而分数阶傅里叶变化是最适于线性调频信号检测的时频变换方法,所以本文利用短时分数阶傅里叶变换对非线性调频类信号的每个调频持续时间内的信号能量进行聚焦,从而对信号进行能量检测。由于常见的时频分析方法,如Choi-Williams时频分析,有对信号进行时频变化后信号能量不能集中的缺陷,所以短时分数阶傅里叶变换较Choi-Williams时频分析方法更有利于对非线性调频类信号进行能量聚集,从而有利于进行信号检测。仿真分析表明截获接收机对不同的非线性调频类信号具有不同的检测性能。

关键词: 低截获概率, 非线性调频类信号, 短时分数阶傅里叶变换, 截获接收机, Costas码, Barker码

Abstract: Under the complex electromagnetic environment, LPI (low probability of intercept) airborne radar can effectively reduce the distance between the passive detection system and combat aircraft, and increase the tracking guidance accuracy, which can effectively improve the survivability and penetration ability of combat aircraft. An airborne radar of low intercept probability usually uses broadband modulation signal, by expanding the energy of the signal in the frequency domain, to reduce the probability that the radar radiation signal is intercepted by the enemy. An airborne radar signal of low probability of intercept is usually a linear FM signal (including linear FM signal and phase encoding signal) and a nonlinear FM signal (including Costas code and Barker code signal). In this paper, the inherent characteristics of Costas and Barker signal in nonlinear frequency modulation signal are analyzed, and the method to detect the nonlinear frequency modulation signal by using fractional Fourier transform discussed. Since Costas codes and Barker codes can be regarded as approximate linear frequency modulation signals, and fractional Fourier transform is the most suitable method for linear frequency modulated signal detection, the signal energy of the nonlinear frequency modulation signal was focused by using fractional Fourier transform so that the signal can be detected. Because in the common time-frequency analysis methods, such as Choi-Williams time-frequency analysis, the signal energy can not be concentrated after the signal is changed, the short time fractional Fourier transform is better than the nonlinear frequency modulation signal for the energy accumulation, which is good or the signal detection. The simulation analysis shows that the intercept receiver has different detection performance for different nonlinear frequency modulation signals.

Key words: LPI, nonlinear FM signal, short-time fractional Fourier transform, interceptors, Costas codes, Barker codes

中图分类号: 

  • TN974
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