基于双基地距离的多站多外辐射源无源定位算法

doi:10.3969/j.issn.0372-2112.2018.12.004

电子学报 ›› 2018, Vol. 46 ›› Issue (12): 2840-2847.DOI: 10.3969/j.issn.0372-2112.2018.12.004

基于双基地距离的多站多外辐射源无源定位算法

赵勇胜, 赵拥军, 赵闯

解放军信息工程大学导航与空天目标工程学院, 河南郑州 450001

收稿日期:2016-12-27 修回日期:2018-03-07 出版日期:2018-12-25
- 作者简介:
- 赵勇胜 男,1990年出生于江苏连云港.现为解放军信息工程大学导航与空天目标工程学院博士研究生,主要研究方向为无源雷达信号处理.E-mail:ethanchioa@aliyun.com;赵拥军 男,1964年出生于河南封丘,博士.现为解放军信息工程大学导航与空天目标工程学院教授、博士生导师,主要研究方向为雷达信号处理和阵列信号处理.E-mail:zhaoyongjuntg@126.com;赵闯男,1978年出生于河北辛集.现为解放军信息工程大学导航与空天目标工程学院副教授,主要研究方向为雷达信号处理.E-mail:rushzhaotg@163.com
- 基金资助:
- 国家自然科学基金 (No.61703433）

Multi-transmitter Multi-receiver Passive Location Using Bistatic Range Measurements

ZHAO Yong-sheng, ZHAO Yong-jun, ZHAO Chuang

School of Navigation and Aerospace Engineering, PLA Information Engineering University, Zhengzhou, Henan 450001, China

Received:2016-12-27 Revised:2018-03-07 Online:2018-12-25 Published:2018-12-25

摘要/Abstract

摘要： 针对利用多个外辐射源和多个接收站的无源雷达目标定位场景，提出了一种利用三步加权最小二乘的双基地距离（Bistatic Range，BR）定位问题代数解.首先，在第一步加权最小二乘估计中，通过引入多个辅助参数，将BR观测方程线性化，并得到目标位置粗估计；在后两步加权最小二乘估计中利用辅助参数与目标位置参数的约束关系来提高目标位置的估计精度.对算法理论误差分析表明，其定位精度可以达到克拉美罗界.蒙特卡罗仿真结果表明，算法的定位精度优于现有算法.

关键词: 无源定位, 多站多外辐射源, 双基地距离, 加权最小二乘

Abstract: This paper investigates the problem of locating a target using a passive radar system with multiple transmitters and multiple receivers. The bistatic range (BR), which corresponds to the sum of transmitter-to-target and target-to-receiver distances is used as the measurement. An algebraic solution employing three-step weighted least squares (3WLS) minimizations is proposed. In the first stage, the BR measurements are linearized by introducing multiple additional parameters and a WLS minimization is used to obtain a rough estimate; then in the latter two stages, the relationship between the additional parameters and the target location parameters is utilized to refine the estimate. Theoretical accuracy analysis indicates that the proposed algorithm can achieve the Cramer row lower bound (CRLB), and Monte-Carlo simulations demonstrate the proposed algorithm outperforms existing algorithms.

Key words: passive location, multi-transmitter multi-receiver, bistatic range, weighted least squares

中图分类号:

TN971

赵勇胜, 赵拥军, 赵闯. 基于双基地距离的多站多外辐射源无源定位算法[J]. 电子学报, 2018, 46(12): 2840-2847.

ZHAO Yong-sheng, ZHAO Yong-jun, ZHAO Chuang. Multi-transmitter Multi-receiver Passive Location Using Bistatic Range Measurements[J]. Acta Electronica Sinica, 2018, 46(12): 2840-2847.

参考文献

[1] 高志文,陶然.外辐射源雷达的相干积累增益计算及性能分析[J].电子学报,2008,36(6):1227-1230. Gao Zhi-wen,Tao Ran.Computation and analysis of coherent accumulation gain for passive radar[J].Acta Electronica Sinica,2008,36(6):1227-1230.(in Chinese).
[2] Michael E,Alexander S,Fabienne M.Design and performance evaluation of a mature FM/DAB/DVB-T multi-illuminator passive radar system[J].IET Radar,Sonar and Navigation,2014,8(2):114-122.
[3] Higgins T,Webster T,Mokole E L.Passive multistatic radar experiment using WiMAX signals of opportunity.Part 1:Signal processing[J].IET Radar Sonar and Navigation,2016,10(2):238-247.
[4] 唐波,程水英,张浩.外辐射源雷达模糊函数副峰抑制算法研究[J].电子学报,2015,43(6):1058-1064. Tang Bo,Cheng Shui-ying,Zhang Hao.Ambiguity function side peaks suppression for passive radar[J].Acta Electronica Sinica,2015,43(6):1058-1064.(in Chinese).
[5] Daun M,Nickel U,Koch W.Tracking in multistatic passive radar systems using DAB/DVB-T illumination[J].Signal Processing,2012,92(6):1365-1386.
[6] Malanowski M,Kulpa K.Two methods for target localization in multistatic passive radar[J].IEEE Transactions on Aerospace & Electronic Systems,2012,48(1):572-580.
[7] 陈永光,李昌锦,李修和.三站时差定位的精度分析与推算模型[J].电子学报,2004,32(9):1452-1455. Chen Yong-guang,Li Chang-jin,Li Xiu-he.A precision analyzing & reckoning model in tri-station TDOA location[J].Acta Electronica Sinica,2004,32(9):1452-1455.(in Chinese).
[8] Smith J O,Abel J S.Closed-form least-squares source location estimation from range-difference measurements[J].IEEE Transactions on Acoustics Speech & Signal Processing,1988,35(12):1661-1669.
[9] Chan Y T,Ho K C.A simple and efficient estimator for hyperbolic location[J].IEEE Transactions on Signal Processing,1994,42(8):1905-1915.
[10] Huang Y,Benesty J,Elko G W,et al.Real-time passive source localization:a practical linear-correction least-squares approach[J].IEEE Transactions on Speech & Audio Processing,2001,9(8):943-956.
[11] Beck A,Stoica P,Li J.Exact andapproximate solutions of source localization problems[J].IEEE Transactions on Signal Processing,2008,56(5):1770-1778.
[12] Lui K W K,Chan F K W,So H C.Semidefinite programming approach for range-difference based source localization[J].Signal Processing IEEE Transactions on,2009,57(4):1630-1633.
[13] Yang K,An J,Bu X,et al.Constrained total least-squares location algorithm using time-difference-of-arrival measurements[J].IEEE Transactions on Vehicular Technology,2010,59(3):1558-1562.
[14] 王鼎,张瑞杰,吴瑛.无源定位观测方程的两类伪线性化方法及渐近最优闭式解[J].电子学报,2015,43(4):722-729. Wang Ding,Zhang Rui-jie,Wu Ying.Two pseudo-linearization processing methods and the asymptotically optimal closed-form solutions for passive location[J].Acta Electronica Sinica,2015,43(4):722-729.(in Chinese).
[15] 朱国辉,冯大政,聂卫科.传感器位置误差情况下基于多维标度分析的时差定位算法[J].电子学报,2016,44(1):21-26. Zhu Guo-hui,Feng Da-zheng,Nie Wei-ke.Multidimendional scaling based TDOA localization algorithm with sensor location errors[J].Acta Electronica Sinica,2016,44(1):21-26.(in Chinese).
[16] Noroozi A,Sebt M A.Comparison between range-difference-based and bistatic-range-based localization in multistatic passive radar[A].International Radar Symposium (IRS)[C].Dresden,Germany:IEEE,2015.1058-1063.
[17] Rui L,Ho K C.Elliptic localization:performance study and optimum receiver placement[J].IEEE Transactions on Signal Processing,2014,62(18):4673-4687.
[18] Li W,Wei P,Xiao X.A robust TDOA-based location method and its performance analysis[J].Science in China Series F:Information Sciences,2009,52(5):876-882.
[19] Anastasio V,Farina A,Colone F,et al.Cramer-Rao lower bound with Pd<1 for target localisation accuracy in multistatic passive radar[J].IET Radar,Sonar and Navigation,2014,8(7):767-775.
[20] Chalise B K,Zhang Y D,Amin M G,et al.Target localization in a multi-static passive radar system through convex optimization[J].Signal Processing,2014,102(9):207-215.
[21] Dianat M,Taban M R,Dianat J,et al.Target localization using least squares estimation for MIMO radars with widely separated antennas[J].IEEE Transactions on Aerospace & Electronic Systems,2013,49(4):2730-2741.
[22] Noroozi A,Sebt M A.Target localization from bistatic range measurements in multi-transmitter multi-receiver passive radar[J].IEEE Signal Processing Letters,2015,22(12):2445-2449.
[23] Einemo M,So H C.Weighted least squares algorithm for target localization in distributed MIMO radar[J].Signal Process,2015,115(C):144-150.
[24] Park C,Chang J.Closed-form localization for distributed MIMO radar systems using time delay measurements[J].IEEE Transactions on Wireless Communications,2016,15(2):1480-1490.

基于双基地距离的多站多外辐射源无源定位算法

Multi-transmitter Multi-receiver Passive Location Using Bistatic Range Measurements

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

[1]	刘清, 谢坚, 王伶, 王秋红, 张兆林. 卫星导航欺骗式干扰源高精度直接定位方法[J]. 电子学报, 2022, 50(5): 1117-1122.
[2]	苏志刚, 武瑞, 郝敬堂. 面向无源定位的直达波传感器识别算法[J]. 电子学报, 2021, 49(6): 1178-1186.
[3]	陈鑫, 王鼎, 唐涛, 尹洁昕, 吴瑛. 阵列模型误差条件下直接定位性能分析及偏差修正方法[J]. 电子学报, 2019, 47(8): 1633-1642.
[4]	余婉婷, 于宏毅, 杜剑平, 王鼎. 辐射源信号波形已知的超视距目标直接定位方法[J]. 电子学报, 2019, 47(11): 2368-2377.
[5]	王鼎, 尹洁昕, 刘瑞瑞, 张博龙. 同步时钟偏差存在下的时差定位性能分析及改进的定位方法[J]. 电子学报, 2018, 46(6): 1281-1288.
[6]	王鼎, 吴志东, 尹洁昕. 信号波形已知条件下多目标直接定位性能分析及其改进算法[J]. 电子学报, 2017, 45(12): 2881-2889.
[7]	曹景敏, 万群, 魏合文, 刘郁林. 目标海拔已知的信号到达幅度比无源定位方法[J]. 电子学报, 2016, 44(6): 1369-1375.
[8]	朱国辉, 冯大政, 聂卫科. 传感器位置误差情况下基于多维标度分析的时差定位算法[J]. 电子学报, 2016, 44(1): 21-26.
[9]	王鼎, 张瑞杰, 吴瑛. 无源定位观测方程的两类伪线性化方法及渐近最优闭式解[J]. 电子学报, 2015, 43(4): 722-729.
[10]	童基均, 刘进, 蔡强. 基于全变差的加权最小二乘法PET图像重建[J]. 电子学报, 2013, 41(4): 787-790.
[11]	朱凯然, 何学辉, 吴惠阳, 张旺, 苏涛. 一种单自旋回波串信号参数估计方法[J]. 电子学报, 2013, 41(3): 456-462.
[12]	刘聪锋;杨洁;王奉帅. 运动观测站对固定辐射源频差定位算法[J]. 电子学报, 2012, 40(5): 907-910.
[13]	刘志凌;廖桂生;杨志伟. 低信噪比条件下一种迭代加权拟合的 ISAR包络对齐方法[J]. 电子学报, 2012, 40(4): 799-804.
[14]	谢俊好;李波. T/R-R高频地波雷达球面定位算法研究[J]. 电子学报, 2012, 40(3): 435-440.
[15]	徐征, 曲长文, 王昌海, 李炳荣. 一种基于最小化广义Rayleigh商的无源定位算法研究[J]. 电子学报, 2012, 40(12): 2446-2450.