傳感器位置誤差下外輻射源雷達(dá)三維定位代數(shù)解算法
doi: 10.11999/JEIT190292
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杭州電子科技大學(xué)自動(dòng)化學(xué)院 杭州 310018
Algebraic Solution for 3D Localization of Multistatic Passive Radar in the Presence of Sensor Position Errors
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School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
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摘要:
機(jī)載外輻射源雷達(dá)系統(tǒng)中，部署在飛機(jī)上的觀測(cè)站傳感器位置無(wú)法精確獲知，觀測(cè)站位置誤差將嚴(yán)重影響目標(biāo)定位精度。對(duì)此，該文提出一種觀測(cè)站位置誤差下多基外輻射源雷達(dá)3維定位代數(shù)解算法。該算法首先利用輔助變量將非線性雙基距離和差(BRD)觀測(cè)方程進(jìn)行線性化，構(gòu)造偽線性目標(biāo)估計(jì)模型。然后將觀測(cè)站位置量測(cè)噪聲的統(tǒng)計(jì)特性融入定位算法，提出一種改進(jìn)兩步加權(quán)最小二乘(TS-WLS)算法實(shí)現(xiàn)觀測(cè)站位置誤差下外輻射源雷達(dá)目標(biāo)定位。最后推導(dǎo)了克拉美羅下界(CRLB)和算法的理論誤差。仿真結(jié)果顯示，在適中的BRD量測(cè)誤差和觀測(cè)站位置誤差下，所提算法的目標(biāo)定位性能能夠達(dá)到CRLB。
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關(guān)鍵詞:
- 外輻射源雷達(dá) /
- 觀測(cè)站位置誤差 /
- 雙基距離和差(BRD) /
- 兩步加權(quán)最小二乘(TS-WLS)
Abstract:An observer is placed on the airborne in the multistatic passive radar localization system. The error in observer position may seriously affect the localization accuracy. An algebraic closed-form solution is proposed for 3D localization of multistatic passive radar in the presence of sensor position errors. Firstly, the nonlinear Bistatic Range Difference (BRD) measurement equations are linearized by proper additional parameters and a pseudo-linear estimation model is given accordingly. Then a modified Two-Step Weighted Least Squares (TS-WLS) algorithm is developed with considering the statistic characteristics of the observer position measurement noises. Finally the Cramer-Rao Lower Bound (CRLB) and the theoretical error of the algorithm are derived. Simulation results show that the proposed algorithm can achieve the CRLB in a moderate level of noises.
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LIU Jun, LI Hongbin, and HIMED B. On the performance of the cross-correlation detector for passive radar applications[J]. Signal Processing, 2015, 113: 32–37. doi: 10.1016/j.sigpro.2015.01.006 INGGS M, TONG C, NADJIASNGAR R, et al. Planning and design phases of a commensal radar system in the FM broadcast band[J]. IEEE Aerospace and Electronic Systems Magazine, 2014, 29(7): 50–63. doi: 10.1109/MAES.2014.130165 CHOI S, CROUSE D, WILLETT P, et al. Multistatic target tracking for passive radar in a DAB/DVB network: Initiation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(3): 2460–2469. doi: 10.1109/TAES.2015.130270 GASSIER G, CHABRIEL G, BARRèRE J, et al. A unifying approach for disturbance cancellation and target detection in passive radar using OFDM[J]. IEEE Transactions on Signal Processing, 2016, 64(22): 5959–5971. doi: 10.1109/TSP.2016.2600511 王鼎, 魏帥. 基于外輻射源的約束總體最小二乘定位算法及其理論性能分析[J]. 中國(guó)科學(xué): 信息科學(xué), 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 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 NOROOZI A and SEBT M A. Target localization in multistatic passive radar using SVD approach for eliminating the nuisance parameters[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(4): 1660–1671. doi: 10.1109/TAES.2017.2669558 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 WANG Yue and HO K C. TDOA source localization in the presence of synchronization clock bias and sensor position errors[J]. IEEE Transactions on Signal Processing, 2013, 61(18): 4532–4544. doi: 10.1109/TSP.2013.2271750 曲付勇, 孟祥偉. 基于約束總體最小二乘方法的到達(dá)時(shí)差到達(dá)頻差無(wú)源定位算法[J]. 電子與信息學(xué)報(bào), 2014, 36(5): 1075–1081. doi: 10.3724/SP.J.1146.2013.01019QU Fuyong and MENG Xiangwei. Source localization using TDOA and FDOA measurements based on constrained total least squares algorithm[J]. Journal of Electronics &Information Technology, 2014, 36(5): 1075–1081. doi: 10.3724/SP.J.1146.2013.01019 GODRICH H, HAIMOVICH A M, and BLUM R S. Target localization accuracy gain in MIMO radar-based systems[J]. IEEE Transactions on Information Theory, 2010, 56(6): 2783–2803. doi: 10.1109/tit.2010.2046246 ALAM M and JAMIL K. Maximum likelihood (ML) based localization algorithm for multi-static passive radar using range-only measurements[C]. 2015 IEEE Radar Conference, Johannesburg, South Africa, 2015: 180–184. doi: 10.1109/RadarConf.2015.7411876. NOROOZI A and 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. doi: 10.1109/LSP.2015.2491961 NOROOZI A and SEBT M A. Weighted least squares target location estimation in multi-transmitter multi-receiver passive radar using bistatic range measurements[J]. IET Radar, Sonar & Navigation, 2016, 10(6): 1088–1097. doi: 10.1049/iet-rsn.2015.0446 AMIRI R, BEHNIA F, and ZAMANI H. Asymptotically efficient target localization from bistatic range measurements in distributed MIMO radars[J]. IEEE Signal Processing Letters, 2017, 24(3): 299–303. doi: 10.1109/LSP.2017.2660545 AMIRI R and BEHNIA F. An efficient weighted least squares estimator for elliptic localization in distributed MIMO radars[J]. IEEE Signal Processing Letters, 2017, 24(6): 902–906. doi: 10.1109/LSP.2017.2697500 NOROOZI A, OVEIS A H, and SEBT M A. Iterative target localization in distributed MIMO radar from bistatic range measurements[J]. IEEE Signal Processing Letters, 2017, 24(11): 1709–1713. doi: 10.1109/LSP.2017.2747479 AMIRI R, BEHNIA F, and SADR M A M. Exact solution for elliptic localization in distributed MIMO radar systems[J]. IEEE Transactions on Vehicular Technology, 2018, 67(2): 1075–1086. doi: 10.1109/TVT.2017.2762631 趙勇勝, 趙擁軍, 趙闖, 等. 一種新的分布式MIMO雷達(dá)系統(tǒng)運(yùn)動(dòng)目標(biāo)定位代數(shù)解算法[J]. 電子與信息學(xué)報(bào), 2018, 40(3): 548–556. doi: 10.11999/JEIT170510ZHAO Yongsheng, ZHAO Yongjun, ZHAO Chuang, et al. New algebraic algorithm for moving target localization in distributed MIMO radar systems[J]. Journal of Electronics &Information Technology, 2018, 40(3): 548–556. doi: 10.11999/JEIT170510 ZHAO Yongsheng, ZHAO Yongjun, and ZHAO Chuang. A novel algebraic solution for moving target localization in multi-transmitter multi-receiver passive radar[J]. Signal Processing, 2018, 143: 303–310. doi: 10.1016/j.sigpro.2017.09.014 -
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