基于变分贝叶斯的星载雷达非线性滤波

doi:10.7527/S1000-6893.2020.24395

Abstract

Abstract: Spaceborne radars play an important role in early warning defense systems because of their unique advantages such as wide detection range, long distance and all-weather surveillance capability. Due to the high-speed movement of the platform and the strong nonlinear observation function, high-accuracy target tracking for spaceborne radars is difficult. In this paper, we propose a variational Bayes-based nonlinear filtering method, which transforms the nonlinear state estimation problem into an optimization problem. The analytical solution is obtained via a closed-loop iteration manner. Moreover, a pitch angle estimation method is presented using the a priori information of target height. Simulation results show that, compared with the extended Kalman filter, unscented Kalman filter, and the converted measurement Kalman filter, the proposed variational Bayes-based nonlinear filtering method achieves the best estimation accuracy.

Key words: spaceborne radars, target tracking, variational Bayes, nonlinear filtering, pitch estimation

CLC Number:

YAN Wenxu, LAN Hua, WANG Zengfu, JIN Shuling, PAN Quan. Nonlinear filtering for spaceborne radars based on variational Bayes[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(S2): 724395-724395.

References

[1] EINICKE G A, WHITE L B. Robust extended Kalman filtering[J]. IEEE Transactions on Signal Processing, 1999, 47(9):2596-2599.
[2] BELL B M, CATHEY F W. The iterated Kalman filter update as a Gauss-Newton method[J]. IEEE Transactions on Automatic Control, 1993, 38(2):294-297.
[3] HU J, WANG Z, GAO H, et al. Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements[J]. Automatica, 2012, 48:2007-2015.
[4] HU X, BAO M, ZHANG X, et al. Generalized iterated Kalman filter and its performance evaluation[J]. IEEE Transaction on Signal Processing, 2015, 63:3204-3217.
[5] JULIER S J, UHLMANN J K. A new extension of the Kalman filter to nonlinear systems[C]//Proceedings of Spie, 1997:182-193.
[6] Wan E A, VAN DER MERWE R.The unscented Kalman filter for nonlinear estimation[C]//Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium. Piscataway:IEEE Press, 2000:153-158.
[7] JULIER S J,UHLMANN J K. Unscented filtering and nonlinear estimation[J]. Proceedings of the IEEE, 2004, 92(3):401-422.
[8] GUSTAFSSON F,HENDEBY G. Some relations between extended and unscented Kalman filters[J]. IEEE Transaction on Signal Processing, 2012,60:545-555.
[9] ARASARATNAM I, HAYKIN S. Cubature Kalman filters[J]. IEEE Transaction on Automatic Control, 2009,54:1254-1269.
[10] ARASARATNAM I, HAYKIN S, HURD T R. Cubature Kalman filtering for continuous-discrete systems:Theory and simulations[J]. IEEE Transaction on Signal Processing, 2010,58:4977-4933.
[11] MERWE R V D,WAN E A. Sigma-point Kalman filters for integrated navigation[C]//60th Annual Meeting of the Institute of Navigation, 2004:641-645.
[12] 杨春玲,刘国岁,倪晋麟.基于转换坐标卡尔曼滤波算法的雷达目标跟踪[J].现代雷达,1988, 20(5):48-54. YANG C L, LIU G S, NI J L. Radar target tracking based on transformed coordinate Kalman filter algorithm[J].Modern Radar, 1988, 20(5):48-54(in Chinese).
[13] LERRO D, BARSHALOM Y. Tracking with debiased consistent converted measurement vs. EKF[J]. IEEE Transactions on Aerospace and Electronic systems, 1993,29(3):1015-1022.
[14] SONG X,ZHOU Y,BARSHALOM Y. Unbiased converted measurement for tracking[J]. IEEE Transactions on Aerospace and Electronic systems, 1998,34(3):1023-1027.
[15] GORDON N J,SALMOND D J,SMITH A F. Novel approach to nonlinear/non-Gaussian Bayesian state estimation[C]//IEEE Proceedings F-Radar and Signal Processing, 1993,140:107-113.
[16] DOUCET A,GODSILL S,ANDRIEU C. On sequential Monte Carlo sampling methods for Bayesian filtering[J]. Statistics and Computing, 2000,10(3):197-208.
[17] CAPPE O,GODSILL S J,MOULINES E. An overview of existing methods and recent advances in sequential Monte Carlo[J]. Proceeding of the IEEE, 2007,95:899-924.
[18] BEAL M J. Variational algorithms for approximate Bayesian inference[D].Cambridge:Cambridge University,2003.
[19] SMIDL V,QUINN A. Variational Bayesian filtering[J]. IEEE Transactions on Signal Processing, 2008,56(10):5020-5030.
[20] FRIGOLA R,CHEN Y,RASMUSSEN C. Varoational Gaussian process state-space models[C]//Advances in Neural Information Processing Systems, 2014:3680-3688.
[21] AIT-E1-FQUIH B,HOTEIT I. A variational Bayesian multiple particle filtering scheme for large-dimensional systems[J]. IEEE Transactions on Signal Processing, 2016,64(20):5409-5422.
[22] GULTEKIN S,PAISLEY J. Nonlinear Kalman filtering with divergence minimization[J]. IEEE Transactions on Signal Processing, 2017:65,6319-6331.
[23] HU Y M,WANG X Z,LAN H,et al. An iterative nonlinear filter using variational bayesian optimization[J]. Sensors, 2018,18(12):4222.
[24] TSENG P. An analysis of the EM algorithm and entropy-like proximal point methods[J]. Mathematics of Operations Research, 2004, 29:27-44.

Nonlinear filtering for spaceborne radars based on variational Bayes

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	CHEN Bo, YUE Kai, WANG Rusheng, HU Mingnan. Learning-based multi-rate multi-sensor fusion localization method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S1): 726904-726904.
[2]	CHEN Linxiu, YANG Xiangyu, ZHANG Hang, ZHAO Jiajia, HAO Mingrui. Composite guidance technology based on active radar/infrared information fusion [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S1): 727058-727058.
[3]	LIU Fang, SUN Yanan. UAV target tracking algorithm based on adaptive fusion network [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 325522-325522.
[4]	XIONG Wei, ZHU Hongfeng, CUI Yaqi. Recurrent adaptive maneuvering target tracking algorithm based on online learning [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(5): 325250-325250.
[5]	JIN Biao, KUANG Xiaofei, PENG Yu, ZHANG Zhenkai. Distributed power allocation method for netted radar based on cooperative game theory [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 324776-324776.
[6]	FANG Anran, LI Dan, ZHANG Jianqiu. Nonlinear filter robust to outlier and unknown observation noise [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(7): 324675-324675.
[7]	LIU Zhenbao, MA Bodi, GAO Honggang, YUAN Jinbiao, JIANG Feihong, ZHANG Junhong, ZHAO Wen. Adaptive morphological network based UAV target tracking algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(4): 524904-524904.
[8]	HUANG Jingshuai, LI Yongyuan, TANG Guojian, BAO Weimin. Adaptive tracking method for hypersonic glide target [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(9): 323786-323786.
[9]	YI Xiao, DU Jinpeng. Asynchronous track-to-track association algorithm based on discrete degree of segmented sequence [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(7): 323694-323694.
[10]	TIAN Chen, PEI Yang, HOU Peng, ZHAO Qian. Decision uncertainty based sensor management for multi-target tracking [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(10): 323781-323781.
[11]	LIU Fang, YANG Anzhe, WU Zhiwei. Adaptive Siamese network based UAV target tracking algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(1): 323423-323423.
[12]	WANG Yuebin, JIANG Jingfei, ZHANG Jianqiu. Random finite set approach to analyzing, detecting, and tracking dynamic time-frequency spectra [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(6): 322600-322600.
[13]	LIU Fang, WANG Hongjuan, HUANG Guangwei, LU Lixia, WANG Xin. UAV target tracking algorithm based on adaptive depth network [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 322332-322332.
[14]	CHEN Zhaonan, SUN Ao, WANG Lei, YAN Xiaopeng. Trajectory estimation of high speed target based on ultra short baseline acoustic arrays [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 322296-322296.
[15]	WANG Shuliang, BI Daping, RUAN Huailin, ZHOU Yang. Cognitive radar data association algorithm based on visual attention [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(6): 321828-321828.