A hybrid algorithm for group split detection and extension estimation is proposed to improve the performance of tracking the separation of group targets. The traditional random matrix algorithm is employed to calculate the size of a group and to analyze the situation of the group. When a group splitting is detected
big subgroups are divided into some small subgroups by k-means clustering. The least square method is then employed to fit effective measurements of each subgroup into several ellipses
and trajectory association is finally conducted. The proposed algorithm deals with measurements of groups based on the clustering
and describes extensions of splitted subgroups with multiple ellipses according to clustering result. The algorithm has a convergence rate faster than that of the traditional algorithm. Simulation results and a comparison with the single random matrix algorithm show that the proposed algorithm accurately estimates the extensions of splitted subgroups. A comparison with the semi-positive programming algorithm shows that single Monte Carlo simulation time reduces by 2 orders of magnitude. These results prove the validity and practicability of the proposed algorithm.
关键词
Keywords
references
GRANSTROM K, BAUM M. Extended object tracking: introduction, overview and applications [J]. Journal of Advances in Information Fusion, 2016, 12(2): 1-17.
MAHLER R. PHD filters of higher order in target number [J]. IEEE Transactions on Aerospace Electronic Systems, 2007, 43(4): 1523-1543.
GRANSTROM K, ORGUNER U. On spawning and combination of extended/group targets modeled with random matrices [J]. IEEE Transactions on Signal Processing, 2012, 61(3): 678-692.
KOCH J W. Bayesian approach to extended object and cluster tracking using random matrices [J]. IEEE Transactions on Aerospace and Electronic Systems, 2008, 44(3): 1042-1059.
FELDMANN M, FRANKEN D, KOCH W. Tracking of extended objects and group targets using random matrices [J]. IEEE Transactions on Signal Processing, 2011, 59(4): 1409-1420.
FELDMANN M, FRANKEN D. Advances on tracking of extended objects and group targets using random matrices [C]∥2009 12th International Conference on Information Fusion. Piscataway, NJ, USA: IEEE, 2009: 1029-1036.
HAN Yulan, ZHU Hongyan, HAN Chongzhao. A multi-target filter based on random matrix [J]. Journal of Xi'an Jiaotong University, 2015, 49(7): 98-104.
MIHAYLOVA L, CARMI A Y, SEPTIER F, et al. Overview of Bayesian sequential Monte Carlo methods for group and extended object tracking [J]. Digital Signal Processing, 2014, 25(1): 1-16.
GRANSTROM K, WILLETT P, BAR-SHALOM Y. An extended target tracking model with multiple random matrices and unified kinematics [C]∥2015 18th International Conference on Information Fusion. Piscataway, NJ, USA: IEEE, 2015: 1007-1014.
ORGUNER U. A variational measurement update for extended target tracking with random matrices [J]. IEEE Transactions on Signal Processing, 2012, 60(7): 472-483.
LAN J, LI X R. Tracking of extended object or target group using random matrix: part I New model and approach [C]∥15th International Conference on Information Fusion. Piscataway, NJ, USA: IEEE, 2012: 2177-2184.
LAN J, LI X R. Tracking of maneuvering non-ellipsoidal extended object or target group using random matrix [J]. IEEE Transactions on Signal Processing, 2014, 62(9): 2450-2463.
YAN Bei, WANG Bin, LI Yuan. Optimal ellipse fitting based on least-square principle [J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(3): 295-298.
LI Borui, MU Chundi, BAI Tianming, et al. A hybrid approach for extended object tracking [J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(5): 1336-1346.
LI Zhenxing, LIU Jinmang, LI Song, et al. An improved adaptive tracking algorithm for group targets [J]. Journal of Harbin Institute of Technology, 2014, 46(10): 117-123.
GRANSTROM K, LUNDQUIST C, ORGUNER O. Extended target tracking using a Gaussian-mixture PHD filter [J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(4): 3268-3286.
GRAMSTRPM K, ORGUNER U. A PHD filter for tracking multiple extended targets using random matrices [J]. IEEE Transactions on Signal Processing, 2012, 60(11): 5657-5671.