Advanced Search
Volume 41 Issue 10
Oct.  2019
Turn off MathJax
Article Contents
Shuxin CHEN, Lei HONG, Hao WU, Zhuowei LIU, Longhua YUE. Student’s t Mixture Cardinality Balanced Multi-target Multi-Bernoulli Filter[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2457-2463. doi: 10.11999/JEIT181121
Citation: Shuxin CHEN, Lei HONG, Hao WU, Zhuowei LIU, Longhua YUE. Student’s t Mixture Cardinality Balanced Multi-target Multi-Bernoulli Filter[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2457-2463. doi: 10.11999/JEIT181121

Student’s t Mixture Cardinality Balanced Multi-target Multi-Bernoulli Filter

doi: 10.11999/JEIT181121
Funds:  The National Natural Science Foundation of China (61703420, 61673392)
  • Received Date: 2018-12-04
  • Rev Recd Date: 2019-04-28
  • Available Online: 2019-05-21
  • Publish Date: 2019-10-01
  • The filtering performance of Gaussian Mixture Cardinality Balanced Multi-target Multi-Bernoulli (GM-CBMeMBer) filter can be effected by the heavy-tailed process noise and measurement noise. To solve this problem, a new STudent’s t Mixture Cardinality Balanced Multi-target Multi-Bernoulli (STM-CBMeMBer) filter is proposed. The process noise and measurement noise approximately obey the Student’s t distribution in the filter, where the Student’s t mixture model is used to describe approximately the posterior intensity of the multi-target. The predictive intensity and posterior intensity of Student’s t mixture form are deduced theoretically, and the closed recursive framework of cardinality balanced multi-target multi-Bernoulli filter is established. The simulation results show that, in the presence of the heavy-tailed process noise and the measurement noise, the filter can effectively suppress its interference, its tracking accuracy is superior over the traditional methods.
  • loading
  • LEUNG K Y K, INOSTROZA F, and ADAMS M. Relating random vector and random finite set estimation in navigation, mapping, and tracking[J]. IEEE Transactions on Signal Processing, 2017, 65(17): 4609–4623. doi: 10.1109/TSP.2017.2701330
    JIN Xuebo, SUN Shuli, WEI Hong, et al. Advances in multi-sensor information fusion: Theory and applications 2017[J]. Sensors, 2018, 18(4): 1162. doi: 10.3390/s18041162
    MAHLER R. PHD filters of higher order in target number[J]. IEEE Transactions on Aerospace and Electronic Systems, 2007, 43(4): 1523–1543. doi: 10.1109/TAES.2007.4441756
    MAHLER R P S, VO B T, and VO B N. CPHD filtering with unknown clutter rate and detection profile[J]. IEEE Transactions on Signal Processing, 2011, 59(8): 3497–3513. doi: 10.1109/TSP.2011.2128316
    MAHLER R P S. Statistical Multisource-Multitarget Information Fusion[M]. Boston: Artech House, Inc., 2007: 655-682.
    VO B T, VO B N, and CANTONI A. The cardinality balanced multi-target multi-Bernoulli filter and its implementations[J]. IEEE Transactions on Signal Processing, 2009, 57(2): 409–423. doi: 10.1109/TSP.2008.2007924
    YANG Jinlong and GE Hongwei. Adaptive probability hypothesis density filter based on variational bayesian approximation for multi-target tracking[J]. IET Radar, Sonar,& Navigation, 2013, 7(9): 959–967. doi: 10.1049/iet-rsn.2012.0357
    HUANG Yulong, ZHANG Yonggang, LI Ning, et al. Robust student’s t based nonlinear filter and smoother[J]. IEEE Transactions on Aerospace and Electronic Systems, 2016, 52(5): 2586–2596. doi: 10.1109/TAES.2016.150722
    TRONARP F, HOSTETTLER R, and SÄRKKÄ S. Sigma-point filtering for nonlinear systems with non-additive heavy-tailed noise[C]. The 19th International Conference on Information Fusion, Heidelberg, Germany, 2016: 1859–1866.
    HUANG Yulong, ZHANG Yonggang, LI Ning, et al. A robust student’s t based cubature filter[C]. The 19th International Conference on Information Fusion, Heidelberg, Germany, 2016: 9–16.
    ROTH M, ÖZKAN E, and GUSTAFSSON F. A student’s t filter for heavy tailed process and measurement noise[C]. 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, Canada, 2013: 5770–5774.
    SCHUHMACHER D, VO B T, and VO B N. A consistent metric for performance evaluation of multi-object filters[J]. IEEE Transactions on Signal Processing, 2008, 56(8): 3447–3457. doi: 10.1109/tsp.2008.920469
    TIAN Xin, YUAN Ting, and BAR-SHALOM Y. Track-to-track fusion in linear and nonlinear systems[C]. Selected Papers of the Itzhack Y. Bar-Itzhack Memorial Symposium on Estimation, Navigation, and Spacecraft Control, Berlin Heidelberg, 2015: 21–41. doi: 10.1007/978-3-662-44785-7_2.
    MCNEIL A J. Multivariate t distributions and their applications[J]. Journal of the American Statistical Association, 2006, 101(473): 390–391. doi: 10.1198/jasa.2006.s67
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(4)

    Article Metrics

    Article views (3142) PDF downloads(74) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return