Research on Suppressing Co-channel Interference of Passive Radar Based on Blind Source Separation Using Second Order Statistics
-
摘要:
针对基于长期演进(LTE)信号的无源雷达存在同频基站干扰的问题，该文提出一种基于2阶统计量的盲源分离算法，该算法是在卷积混合模型下，通过多通道最小均方(LMS)算法实现分离信号之间的相关性最小。由于各发射基站信号之间统计不相关，当分离信号之间的相关性达到最小时，完成观测信号的分离。在此基础上，改进了传统无源雷达信号处理的流程，增加了分离同频干扰基站直达波和多径杂波的步骤，实现了对同频干扰基站杂波的抑制。通过仿真分析，验证了算法的有效性，为基于LTE信号的无源雷达数据处理提供了参考。
Abstract:For the problem of co-frequency base station interference in passive radar based on Long Term Evolution (LTE) signal, an algorithm based on blind source separation using second order statistics is proposed. The presented algorithm is based on convolution mixed model, and achieves the minimum correlation among separated signals through multi-channel Least-Mean-Square (LMS) algorithm. Without statistical correlation among the signals of each transmitting base station, the separation of the observed signals is completed when the separated signals achieve the minimum correlation. On this basis, the traditional signal processing for passive radar is improved. The steps of separating co-frequency interference clutter consisting of both direct-path and multipath clutter are added, which can suppress the clutter interference of co-channel base station. Simulation and analysis verify the effectiveness of the algorithm. The algorithm provides a reference for data processing of passive radar based on LTE signal.
-
表 1 多通道LMS算法总结
参数：$N$= 源数目，$M$= 观测信号数目
一般假设$N = M$
${K_i}$= 分离滤波器阶数，$i = 1,2, ··· ,N$
${\mu _{ij}}$= 步长，$i,j = 1,2, ··· ,N$，且$i \ne j$输入：${x_i}\left( t \right) = $观测信号，$i = 1,2, ··· ,N$ 初始化：${ {{W} }_{ {{ij} } } }\left( 0 \right) = { {{{\textit{0}}} }_{ {{Kj} } } }$, $i,j = 1,2, ··· ,N$，且$i \ne j$
${ {{Y} }_i}\left( t \right) = { {{{\textit{0}}} }_{Ki} }$, $i = 1,2, ··· ,N$
${K_i}$选取$K \ge \max \left\{ {{K_i},i = 1,2, ··· ,N} \right\}$
${\mu _{ij}}$根据输入数据进行调整计算：对$t = 1,2, ··· $，迭代计算：
${y_i}\left( t \right) = {x_i}\left( t \right) - \displaystyle\sum\nolimits_{j \ne i,j = 1}^N { {{W} }_{ij}^{\rm{T} }\left( {t - 1} \right){ {{Y} }_j}\left( t \right)} $
${{{W}}_{ij}}\left( t \right) = {{{W}}_{ij}}\left( {t - 1} \right) + {\mu _{ij}}{y_i}\left( t \right){{{Y}}_j}\left( t \right)$
${{{Y}}_i}\left( t \right) = {\left[ {{y_i}\left( {t - 1} \right),{y_i}\left( {t - 2} \right), ··· ,{y_i}\left( {t - {K_i}} \right)} \right]^{\rm{T}}}$
$i,j = 1,2, ··· ,N,i \ne j$终止条件：前后两次分离信号之间相关性系数的变化量小于所设
的误差门限输出：${y_i}\left( t \right) = $分离信号，$i = 1,2, ··· ,N$ 
下载: 导出CSV
表 2 回波通道1仿真参数
主基站信号 同频干扰基站信号 时延(μs) 衰减(dB) 时延(μs) 衰减(dB) 直达波 0 0 0.07 –1 多径1 0.13 –8 0.20 –9 多径2 0.29 –11 0.36 –12 多径3 0.42 –15 0.59 –15 弱多径 0.16～1.95 –20～>–30 0.16～1.95 –20～>–30 目标1 11.39 –30 目标2 17.15 –37
下载: 导出CSV
表 3 回波通道2仿真参数
主基站信号 同频干扰基站信号 时延(μs) 衰减(dB) 时延(μs) 衰减(dB) 直达波 0.03 –2 0 –1 多径1 0.19 –8 0.16 –9 多径2 0.35 –14 0.36 –13 多径3 0.46 –19 0.49 –14 弱多径 0.16～1.95 –20～–30 0.16～1.95 –20～–30
下载: 导出CSV
-
GRIFFITHS H D and BAKER C J. Passive coherent location radar systems. Part 1: Performance prediction[J]. IEE Proceedings-Radar, Sonar and Navigation, 2005, 152(3): 153–159. doi: 10.1049/ip-rsn:20045082 OLSEN K E and ASEN W. Bridging the gap between civilian and military passive radar[J]. IEEE Aerospace and Electronic Systems Magazine, 2017, 32(2): 4–12. doi: 10.1109/MAES.2017.160030 CUI Haixia, LEUNG V C M, LI Shaoqian, et al. LTE in the unlicensed band: Overview, challenges, and opportunities[J]. IEEE Wireless Communications, 2017, 24(4): 99–105. doi: 10.1109/MWC.2016.1600031WC SALAH A A, ABDULLAH R S A R, ISMAIL A, et al. Feasibility study of LTE signal as a new illuminators of opportunity for passive radar applications[C]. 2013 IEEE International RF and Microwave Conference, Penang, Malaysia, 2013: 258–262. SALAH A A, Abdullah R S A R, ISMAIL A, et al. Experimental study of LTE signals as illuminators of opportunity for passive bistatic radar applications[J]. Electronics Letters, 2014, 50(7): 545–547. doi: 10.1049/el.2014.0237 ABDULLAH R S A R, AZIZ N H A, RASHID N E A, et al. Analysis on target detection and classification in LTE based passive forward scattering radar[J]. Sensors, 2016, 16(10): 1607. doi: 10.3390/s16101607 DAN Yangpeng, WAN Xianrong, YI Jianxin, et al. Ambiguity function analysis of Long Term Evolution transmission for passive radar[C]. The 12th International Symposium on Antennas, Propagation and EM theory, Hangzhou, China, 2018: 1–4. 王本静, 易建新, 万显荣, 等. LTE外辐射源雷达帧间模糊带分析与抑制[J]. 雷达学报, 2018, 7(4): 514–522. doi: 10.12000/JR18025WANG Benjing, YI Jianxin, WAN Xianrong, et al. Inter-frame ambiguity analysis and suppression of LTE signal for passive radar[J]. Journal of Radars, 2018, 7(4): 514–522. doi: 10.12000/JR18025 吕晓德, 张汉良, 杨璟茂, 等. 基于LTE信号的外辐射源雷达副峰特性及抑制方法研究[J]. 电子与信息学报, 2018, 40(10): 2498–2505. doi: 10.11999/JEIT180019LÜ Xiaode, ZHANG Hanliang, YANG Jingmao, et al. Research on characteristics and suppression methods of side peaks of passive radar based on LTE signal[J]. Journal of Electronics &Information Technology, 2018, 40(10): 2498–2505. doi: 10.11999/JEIT180019 王海涛. 外辐射源雷达信号处理若干问题研究[D]. [博士论文], 西安电子科技大学, 2013.WANG Haitao. Study on some issues of signal processing for passive bistatic radar[D]. [Ph.D. dissertation], Xidian University, 2013. 张良俊, 杨杰, 卢开旺. GSM辐射源雷达干扰抑制技术[J]. 电子学报, 2014, 42(9): 1852–1856.ZHANG Liangjun, YANG Jie, and LU Kaiwang. Clutter suppression technique in GSM based passive bistatic radar[J]. Acta Electronica Sinica, 2014, 42(9): 1852–1856. 陈刚, 王俊, 王珏, 等. GSM信号外辐射源雷达同频干扰抑制方法[J]. 西安电子科技大学学报: 自然科学版, 2017, 44(6): 37–42.CHEN Gang, WANG Jun, WANG Jue, et al. Method of co-channel interference cancellation for the GSM based PBR[J]. Journal of Xidian University:Natural Science, 2017, 44(6): 37–42. WANG Shuzhao, JIN Guibin, JIN Guimei, et al. Method to remove the interference in reflected wave of passive radar based on the improved FastICA[C]. The 2009 9th International Conference on Electronic Measurement & Instruments, Beijing, China, 2009: 4-24–4-30. YOU Hong, YU Wenzhen, and YOU Hong. Co-channel interference restraining for passive radar with illuminators of opportunity based on ICA[C]. 2011 IEEE International Conference on Signal Processing, Communications and Computing, Xi'an, China, 2011: 1–3. 陈希信, 王峰, 龙伟军. 基于独立成分分析的外辐射源雷达同频干扰抑制[J]. 中国电子科学研究院学报, 2015, 10(1): 75–77.CHEN Xixin, WANG Feng, and LONG Weijun. Co-channel interference suppression for passive radar based on independent component analysis[J]. Journal of China Academy of Electronics and Information Technology, 2015, 10(1): 75–77. GUO Shuai, WANG Jun, CHEN Gang, et al. Mainlobe interference suppression based on independent component analysis in passive bistatic radar[J]. IET Signal Processing, 2018, 12(9): 1193–1201. doi: 10.1049/iet-spr.2018.5198 梅铁民. 盲源分离理论与算法[M]. 西安: 西安电子科技大学出版社, 2013: 105–116.MEI Tiemin. Theory and Algorithms of Blind Source Separation[M]. Beijing: Xidian University Press, 2013: 105–116. CHENG Guanghui, WANG Leijie, and WANG Zhuande. A nonorthogonal joint block diagonalization algorithm avoiding degenerate solutions[J]. Chinese Journal of Electronics, 2017, 26(2): 331–335. doi: 10.1049/cje.2016.11.009 YANG Liu, XIANG Yong, and PENG Dezhong. Precoding-based blind separation of MIMO FIR mixtures[J]. IEEE Access, 2017, 5: 12417–12427. doi: 10.1109/ACCESS.2017.2720578 JARBOUI L, DEVILLE Y, HOSSEINI S, et al. A second-order blind source separation method for bilinear mixtures[J]. Multidimensional Systems and Signal Processing, 2018, 29(3): 153–1172. LI Jichuan, ZHAO Yaodong, ZHAO Yongke, et al. Direct path wave purification for passive radar with normalized least mean square algorithm[C]. 2013 IEEE International Conference on Signal Processing, Communication and Computing, Kunming, China, 2013: 1–4. 陈刚, 王俊, 王珏, 等. 外辐射源雷达参考信号提纯方法[J]. 系统工程与电子技术, 2018, 40(1): 45–49. doi: 10.3969/j.issn.1001-506X.2018.01.07CHEN Gang, WANG Jun, WANG Jue, et al. Reference signal purifying method in passive bistatic radar[J]. Systems Engineering and Electronics, 2018, 40(1): 45–49. doi: 10.3969/j.issn.1001-506X.2018.01.07 赵耀东, 吕晓德, 李纪传, 等. 基于插值理论的分数延迟杂波自适应对消算法[J]. 系统工程与电子技术, 2013, 35(7): 1409–1414.ZHAO Yaodong, LÜ Xiaode, LI Jichuan, et al. Adaptive fractional-delay clutter cancellation algorithm based on interpolation theory[J]. Systems Engineering and Electronics, 2013, 35(7): 1409–1414. 刘宇, 吕晓德, 杨鹏程. 一种无源雷达频域扩展相消批处理杂波对消算法[J]. 雷达学报, 2016, 5(3): 293–301. doi: 10.12000/JR15098LIU Yu, LV Xiaode, and YANG Pengcheng. Batch version of extensive cancellation algorithm for clutter mitigation in frequency domain of passive radar[J]. Journal of Radars, 2016, 5(3): 293–301. doi: 10.12000/JR15098 柴致海, 吕晓德, 杨鹏程, 等. 一种单频网模式下无源雷达时域杂波对消算法[J]. 雷达科学与技术, 2018, 16(1): 6–13.CHAI Zhihai, LYU Xiaode, YANG Pengcheng, et al. A time-domain clutter cancellation algorithm for passive radar in SFN[J]. Radar Science and Technology, 2018, 16(1): 6–13. YI Jianxin, WAN Xianrong, LI Deshi, et al. Robust clutter rejection in passive radar via generalized subband cancellation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(4): 1931–1946. doi: 10.1109/TAES.2018.2805228 -
下载:
图(12) / 表(3)
计量
- 文章访问数: 3081
- HTML全文浏览量: 1261
- PDF下载量: 119
- 被引次数: 0
