An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements
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摘要: 针对利用单站接收多个外辐射源信号实现目标定位的问题，该文提出一种基于两步加权最小二乘的到达角度(DOA)、时差(TDOA)和频差(FDOA)联合定位代数解算法。首先，在第1步加权最小二乘估计中，通过引入辅助参数，将非线性的角度、时差和频差方程转化为伪线性形式，并利用加权最小二乘得到目标位置和速度的粗估计；而后在第2步加权最小二乘估计中利用辅助参数和目标位置参数之间的约束关系来构造另外一组线性方程，并再次利用加权最小二乘得到目标位置和速度的精确估计。推导了联合角度、时差和频差定位的克拉美罗界。理论分析和仿真结果表明，算法在观测误差较小时的定位误差可以达到克拉美罗界。Abstract: To achieve the target localization using single-observer receiving multiple external illuminators, an algebraic solution based on two-step Weighted Least Squares (2WLS) is proposed to find the target position and velocity from Direction Of Arrival (DOA), Time Difference Of Arrival (TDOA), and Frequency Difference Of Arrival (FDOA) measurements. In the first WLS step, the DOA, TDOA, and FDOA measurements are pseudo-linearized by introducing additional parameters and a WLS minimization is used to obtain an rough estimate of target position and velocity; Then in the second WLS step, the relationship between the additional parameters and the target location parameters is utilized to form another set of linear equations, from which the final accurate estimate of target position and velocity are obtained by using WLS minimization again. The Cramer-Row Lower Bound (CRLB) for DOA-TDOA-FDOA-based target position and velocity estimation are derived. Theoretical accuracy analysis and simulation results indicate that the proposed solution can achieve the CRLB at sufficiently small measurement noise levels.
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FU Yan, WAN Xianrong, ZHANG Xun, et al. Side peak interference mitigation in FM-based passive radar via detection identification[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(2): 778–788. doi: 10.1109/TAES.2017.2665079 BOLVARDI H, DERAKHTIAN M, and SHEIKHI A. Dynamic clutter suppression and multitarget detection in a DVB-T-based passive radar[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(4): 1812–1825. doi: 10.1109/TAES.2017.2674138 WANG Yasen, BAO Qinglong, WANG Dinghe, et al. An experimental study of passive bistatic radar using uncooperative radar as a transmitter[J]. IEEE Geoscience and Remote Sensing Letters, 2015, 12(9): 1868–1872. doi: 10.1109/LGRS.2015.2432574 COLONE F, FALCONE P, BONGIOANNI C, et al. WiFi-based passive bistatic radar: Data processing schemes and experimental results[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(2): 1061–1079. doi: 10.1109/TAES.2012.6178049 MA Hui, ANTONIOU M, STOVE A G, et al. Maritime moving target localization using passive GNSS-based multistatic radar[J]. IEEE Transactions on Geoscience and Remote Sensing, 2018, 56(8): 4808–4819. doi: 10.1109/TGRS.2018.2838682 ROSADO-SANZ J, JARABO-AMORES M P, MATA-MOYA D, et al. Contoured-beam reflectarray for improving angular coverage in DVB-S passive radars[C]. The 20th International Radar Symposium, Ulm, Germany, 2019: 1–8. doi: 10.23919/IRS.2019.8768107. 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 EDRICH M, SCHROEDER A, and MEYER F. Design and performance evaluation of a mature FM/DAB/DVB-T multi-illuminator passive radar system[J]. IET Radar, Sonar & Navigation, 2014, 8(2): 114–122. doi: 10.1049/iet-rsn.2013.0162 HOWLAND P E, MAKSIMIUK D, and REITSMA G. FM radio based bistatic radar[J]. IEE Proceedings-Radar, Sonar and Navigation, 2005, 152(3): 107–115. doi: 10.1049/ip-rsn:20045077 WANG J, WANG H T, and ZHAO Y. Direction finding in frequency-modulated-based passive bistatic radar with a four-element adcock antenna array[J]. IET Radar, Sonar & Navigation, 2011, 5(8): 807–813. doi: 10.1049/iet-rsn.2010.0262 王海涛, 王俊. 基于压缩感知的无源雷达超分辨DOA估计[J]. 电子与信息学报, 2013, 35(4): 877–881. doi: 10.3724/SP.J.1146.2012.00797WANG Haitao and WANG Jun. Super-resolution DOA estimation in passive radar based on compressed sensing[J]. Journal of Electronics &Information Technology, 2013, 35(4): 877–881. doi: 10.3724/SP.J.1146.2012.00797 MALANOWSKI M and KULPA K. Two methods for target localization in multistatic passive radar[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1): 572–580. doi: 10.1109/taes.2012.6129656 梁加洋, 赵拥军, 赵闯, 等. 利用约束加权最小二乘的单站外辐射源时差定位算法[J]. 信号处理, 2017, 33(6): 880–886. doi: 10.16798/j.issn.1003-0530.2017.06.014LIANG Jiayang, ZHAO Yongjun, ZHAO Chuang, et al. Constrained weighted least squares algorithm for single-observer TDOA location estimation using illuminators of opportunity[J]. Journal of Signal Processing, 2017, 33(6): 880–886. doi: 10.16798/j.issn.1003-0530.2017.06.014 王鼎, 魏帅. 基于外辐射源的约束总体最小二乘定位算法及其理论性能分析[J]. 中国科学: 信息科学, 2015, 45(11): 1466–1489. doi: 10.1360/N112014-00397WANG Ding and WEI Shuai. The constrained-total-least-squares localization algorithm and performance analysis based on an external illuminator[J]. Scientia Sinica Informationis, 2015, 45(11): 1466–1489. doi: 10.1360/N112014-00397 LI Wanchun, WEI Ping, and XIAO Xianci. A robust TDOA-based location method and its performance analysis[J]. Science in China Series F: Information Sciences, 2009, 52(5): 876–882. doi: 10.1007/s11432-009-0101-1 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: 207–215. doi: 10.1016/j.sigpro.2014.02.023 ZHAO Yongsheng, LIU Zhixin, HU Dexiu, et al. Target localisation from bistatic range measurements in multistatic passive radar using MDS[J]. The Journal of Engineering, 2019, 2019(19): 5770–5774. doi: 10.1049/joe.2019.0396 李晶, 李冬海, 赵拥军. 利用角度和时差的单站外辐射源定位方法[J]. 武汉大学学报: 信息科学版, 2015, 40(2): 227–232. doi: 10.13203/j.whugis20130065LI Jing, LI Donghai, and ZHAO Yongjun. Single-observer passive coherent location estimation based on DOA and TDOA[J]. Geomatics and Information Science of Wuhan University, 2015, 40(2): 227–232. doi: 10.13203/j.whugis20130065 赵勇胜, 赵拥军, 赵闯, 等. 联合角度和时差的单站无源相干定位加权最小二乘算法[J]. 雷达学报, 2016, 5(3): 302–311. doi: 10.12000/JR15133ZHAO Yongsheng, ZHAO Yongjun, ZHAO Chuang, et al. Weighted least squares algorithm for single-observer passive coherent location using DOA and TDOA measurements[J]. Journal of Radars, 2016, 5(3): 302–311. doi: 10.12000/JR15133 LI Jing, ZHAO Yongjun, and LI Donghai. Accurate single-observer passive coherent location estimation based on TDOA and DOA[J]. Chinese Journal of Aeronautics, 2014, 27(4): 913–923. doi: 10.1016/j.cja.2014.06.004 赵拥军, 赵勇胜, 赵闯. 基于正则化约束总体最小二乘的单站DOA-TDOA无源定位算法[J]. 电子与信息学报, 2016, 38(9): 2336–2343. doi: 10.11999/JEIT151379ZHAO Yongjun, ZHAO Yongsheng, and ZHAO Chuang. Single-observer passive DOA-TDOA location based on regularized constrained total least squares[J]. Journal of Electronics &Information Technology, 2016, 38(9): 2336–2343. doi: 10.11999/JEIT151379 赵勇胜, 赵闯, 赵拥军. 利用TDOA和FDOA的单站多外辐射源目标定位算法[J]. 四川大学学报: 工程科学版, 2016, 48(S1): 170–177. doi: 10.15961/j.jsuese.2016.s1.025ZHAO Yongsheng, ZHAO Chuang, and ZHAO Yongjun. Single-observer multi-illuminators passive location using TDOA and FDOA measurements[J]. Journal of Sichuan University:Engineering Science Edition, 2016, 48(S1): 170–177. doi: 10.15961/j.jsuese.2016.s1.025 梁加洋, 苏文璞, 赵拥军, 等. 基于联合TDOA/FDOA的单站无源相干定位CWLS算法[J]. 电子信息对抗技术, 2018, 33(5): 31–36. doi: 10.3969/j.issn.1674-2230.2018.05.007LIANG Jiayang, SU Wenpu, ZHAO Yongjun, et al. A single-observer passive coherent location CWLS algorithm based on joint TDOA/FDOA[J]. Electronic Information Warfare Technology, 2018, 33(5): 31–36. doi: 10.3969/j.issn.1674-2230.2018.05.007 赵勇胜, 邵东旭, 赵拥军, 等. 基于约束总体最小二乘的单站TDOA-FDOA定位算法[J]. 电子信息对抗技术, 2016, 31(6): 1–7. doi: 10.3969/j.issn.1674-2230.2016.06.001ZHAO Yongsheng, SHAO Dongxu, ZHAO Yongjun, et al. Single-observer TDOA-FDOA location based on constrained total least squares[J]. Electronic Information Warfare Technology, 2016, 31(6): 1–7. doi: 10.3969/j.issn.1674-2230.2016.06.001 CHAN Y T and HO K C. A simple and efficient estimator for hyperbolic location[J]. IEEE Transactions on Signal Processing, 1994, 42(8): 1905–1915. doi: 10.1109/78.301830 HO K C and XU Wenwei. An accurate algebraic solution for moving source location using TDOA and FDOA measurements[J]. IEEE Transactions on Signal Processing, 2004, 52(9): 2453–2463. doi: 10.1109/TSP.2004.831921 HO K C, LU Xiaoning, and KOVAVISARUCH L. Source localization using TDOA and FDOA measurements in the presence of receiver location errors: Analysis and solution[J]. IEEE Transactions on Signal Processing, 2007, 55(2): 684–696. doi: 10.1109/TSP.2006.885744 HO K C and YANG Le. On the use of a calibration emitter for source localization in the presence of sensor position uncertainty[J]. IEEE Transactions on Signal Processing, 2008, 56(12): 5758–5772. doi: 10.1109/TSP.2008.929870 -
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