基于随机有限集的多传感器多目标跟踪研究进展

达凯; 李天成; 朱永锋; 范红旗; 付强

doi:10.1631/FITEE.2000266

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基于随机有限集的多传感器多目标跟踪研究进展

复杂网络和系统的分布式滤波与控制专辑 | Updated：2022-05-19

- 基于随机有限集的多传感器多目标跟踪研究进展
- Recent advances in multisensor multitarget tracking using random finite set
- 信息与电子工程前沿（英文） 2021年22卷第1期页码：5-24
- Affiliations：
  
  The National Key Laboratory of Science and Technology on ATR, National University of Defense Technology, Changsha 410073, China
  MOE Key Laboratory of Information Fusion Technology, School of Automation, Northwestern Polytechnical University, Xi'an 710072, China
- Author bio：
  
  [ "Kai DA, dktm131@163.com" ]
  Tiancheng LI, E-mail: t.c.li@nwpu.edu.cn
  [ "Yongfeng ZHU, zoyofo@163.com" ]
  [ "Hongqi FAN, fanhongqi@nudt.edu.cn" ]
- Funds：
  
  Project supported by the Key Laboratory Foundation of National Defence Technology, China (No. 61424010306), the Joint Fund of Equipment Development and Aerospace Science and Technology, China (No. 6141B0624050101), and the National Natural Science Foundation of China (Nos. 61901489 and 62071389)
- DOI：10.1631/FITEE.2000266
  中图分类号： TP273.5
- 收稿：2020-06-01，
  
  修回：2020-;9-11，
  
  纸质出版：2021-01
- Accepted：
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达凯, 李天成, 朱永锋, 等. 基于随机有限集的多传感器多目标跟踪研究进展[J]. 信息与电子工程前沿（英文）, 2021,22(1):5-24.

Kai DA, Tiancheng LI, Yongfeng ZHU, et al. Recent advances in multisensor multitarget tracking using random finite set[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 5-24.
达凯, 李天成, 朱永锋, 等. 基于随机有限集的多传感器多目标跟踪研究进展[J]. 信息与电子工程前沿（英文）, 2021,22(1):5-24. DOI： 10.1631/FITEE.2000266.

Kai DA, Tiancheng LI, Yongfeng ZHU, et al. Recent advances in multisensor multitarget tracking using random finite set[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 5-24. DOI： 10.1631/FITEE.2000266.

摘要

本文综述了基于随机有限集方法的多传感器多目标跟踪的最新研究进展。在多传感器滤波中起基础性作用的融合方法可分为数据层多目标测量融合和评估层多目标密度融合，分别共享融合传感器之间的局部测量值与后验密度。分析每个融合规则的重要属性，包括最优性和次优性。阐述面向不同随机有限集的两种健壮的多目标密度平均方法：算术平均融合与几何平均融合。最后突出强调相关研究主题与现存研究挑战。

Abstract

In this study

we provide an overview of recent advances in multisensor multitarget tracking based on the random finite set (RFS) approach. The fusion that plays a fundamental role in multisensor filtering is classified into data-level multitarget measurement fusion and estimate-level multitarget density fusion

which share and fuse local measurements and posterior densities between sensors

respectively. Important properties of each fusion rule including the optimality and sub-optimality are presented. In particular

two robust multitarget density-averaging approaches

arithmetic- and geometric-average fusion

are addressed in detail for various RFSs. Relevant research topics and remaining challenges are highlighted.

关键词

Keywords

references

AE Abbas . . A Kullback-Leibler view of linear and log-linear pools . . Dec Anal , , 2009 . . 6 ( ( 1 ): ): 25 - - 37 . . DOI: 10.1287/deca.1080.0133 http://doi.org/10.1287/deca.1080.0133 . .

T Bailey , , , S Julier , , , G Agamennoni . . On conservative fusion of information with unknown non-Gaussian dependence . . Proc 15 th Int Conf on Information Fusion , , 2012 . . p.1876 - - 1883 . . . .

Y Bar-Shalom , , , PK Willett , , , X Tian . . Tracking and Data Fusion . . YBS Publishing, USA. , , 2011 . . .

G Battistelli , , , L Chisci , , , C Fantacci , , , 等 . . Consensus CPHD filter for distributed multitarget tracking . . IEEE J Sel Top Signal Process , , 2013 . . 7 ( ( 3 ): ): 508 - - 520 . . DOI: 10.1109/JSTSP.2013.2250911 http://doi.org/10.1109/JSTSP.2013.2250911 . .

G Battistelli , , , L Chisci , , , C Fantacci , , , 等 . . Distributed peer-to-peer multitarget tracking with association-based track fusion . . Proc 17 th Int Conf on Information Fusion , , 2014 . . p.1 - - 7 . . . .

G Battistelli , , , L Chisci , , , A Laurenzi . . Random set approach to distributed multivehicle SLAM . . IFAC , , 2017 . . 50 ( ( 1 ): ): 2457 - - 2464 . . DOI: 10.1016/j.ifacol.2017.08.410 http://doi.org/10.1016/j.ifacol.2017.08.410 . .

M Beard , , , BT Vo , , , BN Vo , , , 等 . . Void probabilities and Cauchy-Schwarz divergence for generalized labeled multi-Bernoulli models . . IEEE Trans Signal Process , , 2017 . . 65 ( ( 19 ): ): 5047 - - 5061 . . DOI: 10.1109/TSP.2017.2723355 http://doi.org/10.1109/TSP.2017.2723355 . .

S Blackman , , , SS Blackman , , , R Popoli . . Design and Analysis of Modern Tracking Systems . . Artech House, Norwood, USA. , , 1999 . . .

S Boyd , , , A Ghosh , , , B Prabhakar , , , 等 . . Randomized Gossip algorithms . . IEEE Trans Inform Theory , , 2006 . . 52 ( ( 6 ): ): 2508 - - 2530 . . DOI: 10.1109/TIT.2006.874516 http://doi.org/10.1109/TIT.2006.874516 . .

A Buonviri , , , M York , , , K LeGrand , , , 等 . . Survey of challenges in labeled random finite set distributed multi-sensor multi-object tracking . . IEEE Aerospace Conf , , 2019 . . p.1 - - 12 . . DOI: 10.1109/AERO.2019.8742216 http://doi.org/10.1109/AERO.2019.8742216 . .

X Chen , , , R Tharmarasa , , , T Kirubarajan . . Multitarget multisensor tracking . . In: Theodoridis S, Chellappa R (Eds.), Academic Press Library in Signal Processing. Academic Press, USA , , 2014 . . p.759 - - 812 . . DOI: 10.1016/B978-0-12-396500-4.00015-6 http://doi.org/10.1016/B978-0-12-396500-4.00015-6 . .

YJ Chen , , , Q Zhang , , , Y Luo , , , 等 . . Multi-target radar imaging based on phased-MIMO technique-Part Ⅱ: adaptive resource allocation . . IEEE Sens J , , 2017 . . 17 ( ( 19 ): ): 6198 - - 6209 . . DOI: 10.1109/JSEN.2017.2740038 http://doi.org/10.1109/JSEN.2017.2740038 . .

CY Chong , , , S Mori , , , K Chang . . Distributed multitarget multisensory tracking . . In: Bar-Shalom Y (Ed.), Multitarget-Multisensor Tracking: Advanced Applications. Artech House, Norwood, USA , , 1990 . . p.247 - - 295 . . . .

CY Chong , , , KC Chang , , , S Mori . . A review of forty years of distributed estimation . . Proc 21 st Int Conf on Information Fusion , , 2018 . . p.1 - - 8 . . DOI: 10.23919/ICIF.2018.8455318 http://doi.org/10.23919/ICIF.2018.8455318 . .

D Clark , , , S Julier , , , R Mahler , , , 等 . . Robust multi-object sensor fusion with unknown correlations . . Proc Sensor Signal Processing for Defence , , 2010 . . p.1 - - 5 . . DOI: 10.1049/ic.2010.0233 http://doi.org/10.1049/ic.2010.0233 . .

K Da , , , TC Li , , , YF Zhu , , , 等 . . Kullback-Leibler averaging for multitarget density fusion . . Proc Distributed Computing and Artificial Intelligence , , 2019 . . p.253 - - 261 . . DOI: 10.1007/978-3-030-23887-2_29 http://doi.org/10.1007/978-3-030-23887-2_29 . .

K Da , , , T Li , , , Y Zhu , , , 等 . . A computationally efficient approach for distributed sensor localization and multitarget tracking . . IEEE Commun Lett , , 2020a . . 24 ( ( 2 ): ): 335 - - 338 . . DOI: 10.1109/LCOMM.2019.2954888 http://doi.org/10.1109/LCOMM.2019.2954888 DOI: 10.1109/LCOMM.2019.2954888 http://doi.org/10.1109/LCOMM.2019.2954888 . .

K Da , , , T Li , , , YF Zhu , , , 等 . . Gaussian mixture particle jump-Markov-CPHD fusion for multitarget tracking using sensors with limited views . . IEEE Trans Signal Inform Process Netw , , 2020b . . 6 605 - - 616 . . DOI: 10.1109/TSIPN.2020.3016478 http://doi.org/10.1109/TSIPN.2020.3016478 . .

E Delande , , , E Duflos , , , D Heurguier , , , 等 . . Multi-target PHD Filtering: Proposition of Extensions to the Multi-Sensor Case . . Research Report No. RR-7337, INRIA, French. , , 2010 . . .

E Delande , , , E Duflos , , , P Vanheeghe , , , 等 . . Multisensor PHD: construction and implementation by space partitioning . . Proc IEEE Int Conf on Acoustics, Speech and Signal Processing , , 2011 . . p.3632 - - 3635 . . DOI: 10.1109/ICASSP.2011.5947137 http://doi.org/10.1109/ICASSP.2011.5947137 . .

SS Dias , , , MGS Bruno . . Distributed Bernoulli filters for joint detection and tracking in sensor networks . . IEEE Trans Signal Inform Process Netw , , 2016 . . 2 ( ( 3 ): ): 260 - - 275 . . DOI: 10.1109/TSIPN.2016.2580460 http://doi.org/10.1109/TSIPN.2016.2580460 . .

C Fantacci , , , F Papi . . Scalable multisensor multitarget tracking using the marginalized δ -GLMB density . . IEEE Signal Process Lett , , 2016 . . 23 ( ( 6 ): ): 863 - - 867 . . DOI: 10.1109/LSP.2016.2557078 http://doi.org/10.1109/LSP.2016.2557078 . .

C Fantacci , , , BT Vo , , , F Papi , , , 等 . . The marginalized δ -GLMB filter . . 2015 . . https://arxiv.org/abs/1501.00926 https://arxiv.org/abs/1501.00926 , , . .

C Fantacci , , , BN Vo , , , BT Vo , , , 等 . . Robust fusion for multisensor multiobject tracking . . IEEE Signal Process Lett , , 2018 . . 25 ( ( 5 ): ): 640 - - 644 . . DOI: 10.1109/LSP.2018.2811750 http://doi.org/10.1109/LSP.2018.2811750 . .

A Farina , , , G Battistelli , , , L Chisci , , , 等 . . 40 years of tracking for radar systems: a cross-disciplinary academic and industrial viewpoint . . Int Conf on Control, Automation and Information Sciences , , 2017 . . p.1 - - 8 . . DOI: 10.1109/iccais.2017.8217557 http://doi.org/10.1109/iccais.2017.8217557 . .

J Gan , , , M Vasic , , , A Martinoli . . Cooperative multiple dynamic object tracking on moving vehicles based on sequential Monte Carlo probability hypothesis density filter . . Proc IEEE 19 th Int Conf on Intelligent Transportation Systems , , 2016 . . p.2163 - - 2170 . . DOI: 10.1109/itsc.2016.7795906 http://doi.org/10.1109/itsc.2016.7795906 . .

L Gao , , , G Battistelli , , , L Chisci . . Fusion of labeled RFS densities with minimum information loss . . 2019a . . https://arxiv.org/abs/1911.01083 https://arxiv.org/abs/1911.01083 , , . .

L Gao , , , G Battistelli , , , L Chisci . . Event-triggered distributed multitarget tracking . . IEEE Trans Signal Inform Process Netw , , 2019b . . 5 ( ( 3 ): ): 570 - - 584 . . DOI: 10.1109/TSIPN.2019.2924196 http://doi.org/10.1109/TSIPN.2019.2924196 . .

L Gao , , , G Battistelli , , , L Chisci , , , 等 . . Distributed joint sensor registration and multitarget tracking via sensor network . . IEEE Trans Aerosp Electron Syst , , 2020a . . 56 ( ( 2 ): ): 1301 - - 1317 . . DOI: 10.1109/TAES.2019.2929972 http://doi.org/10.1109/TAES.2019.2929972 . .

L Gao , , , G Battistelli , , , L Chisci . . Multiobject fusion with minimum information loss . . IEEE Signal Process Lett , , 2020b . . 27 201 - - 205 . . DOI: 10.1109/LSP.2019.2963817 http://doi.org/10.1109/LSP.2019.2963817 DOI: 10.1109/LSP.2019.2963817 http://doi.org/10.1109/LSP.2019.2963817 . .

ÁF García-Fernández , , , JL Williams , , , K Granström , , , 等 . . Poisson multi-Bernoulli mixture filter: direct derivation and implementation . . IEEE Trans Aerosp Electron Syst , , 2018 . . 54 ( ( 4 ): ): 1883 - - 1901 . . DOI: 10.1109/TAES.2018.2805153 http://doi.org/10.1109/TAES.2018.2805153 . .

AK Gostar , , , R Hoseinnezhad , , , A Bab-Hadiashar . . Cauchy-Schwarz divergence-based distributed fusion with Poisson random finite sets . . Proc Int Conf on Control, Automation and Information Sciences , , 2017a . . p.112 - - 116 . . DOI: 10.1109/iccais.2017.8217559 http://doi.org/10.1109/iccais.2017.8217559 . .

AK Gostar , , , R Hoseinnezhad , , , A Bab-Hadiashar , , , 等 . . Sensor-management for multitarget filters via minimization of posterior dispersion . . IEEE Trans Aerosp Electron Syst , , 2017b . . 53 ( ( 6 ): ): 2877 - - 2884 . . DOI: 10.1109/TAES.2017.2718280 http://doi.org/10.1109/TAES.2017.2718280 . .

R Gowing . . Roger Cotes Natural Philosopher , , : : Cambridge, UK Cambridge University Press , , 2002 . . .

K Granström , , , C Lundquist , , , U Orguner . . A Gaussian mixture PHD filter for extended target tracking . . Proc 13 th Int Conf on Information Fusion , , 2010 . . p.1 - - 8 . . DOI: 10.1109/ICIF.2010.5711885 http://doi.org/10.1109/ICIF.2010.5711885 . .

K Granström , , , P Willett , , , Y Bar-Shalom . . Approximate multi-hypothesis multi-Bernoulli multi-object filtering made multi-easy . . IEEE Trans Signal Process , , 2015 . . 64 ( ( 7 ): ): 1784 - - 1797 . . DOI: 10.1109/TSP.2015.2500884 http://doi.org/10.1109/TSP.2015.2500884 . .

MB Guldogan . . Consensus Bernoulli filter for distributed detection and tracking using multi-static Doppler shifts . . IEEE Trans Aerosp Electron Syst , , 2014 . . 52 ( ( 6 ): ): 2732 - - 2746 . . DOI: 10.1109/TAES.2016.150403 http://doi.org/10.1109/TAES.2016.150403 . .

M Gunay , , , U Orguner , , , M Demirekler . . Chernoff fusion of Gaussian mixtures based on sigma-point approximation . . IEEE Trans Aerosp Electron Syst , , 2016 . . 52 ( ( 6 ): ): 2732 - - 2746 . . DOI: 10.1109/TAES.2016.150403 http://doi.org/10.1109/TAES.2016.150403 . .

S He , , , HS Shin , , , SY Xu , , , 等 . . Distributed estimation over a low-cost sensor network: a review of state-of-the-art . . Inform Fus , , 2020 . . 54 21 - - 43 . . DOI: 10.1016/j.inffus.2019.06.026 http://doi.org/10.1016/j.inffus.2019.06.026 . .

T Heskes . . Selecting weighting factors in logarithmic opinion pools . . Proc Conf on Advances in Neural Information Processing Systems , , 1998 . . p.266 - - 272 . . . .

O Hlinka , , , O Slučiak , , , F Hlawatsch , , , 等 . . Likelihood consensus and its application to distributed particle filtering . . IEEE Trans Signal Process , , 2012 . . 60 ( ( 8 ): ): 4334 - - 4349 . . DOI: 10.1109/TSP.2012.2196697 http://doi.org/10.1109/TSP.2012.2196697 . .

JW Hu , , , BY Zheng , , , C Wang , , , 等 . . A survey on multisensor fusion based obstacle detection for intelligent ground vehicles in off-road environments . . Front Inform Technol Electron Eng , , 2020 . . 21 ( ( 5 ): ): 675 - - 692 . . DOI: 10.1631/FITEE.1900518 http://doi.org/10.1631/FITEE.1900518 . .

MB Hurley . . An information theoretic justification for covariance intersection and its generalization . . Proc 5 th Int Conf on Information Fusion , , 2002 . . p.505 - - 511 . . DOI: 10.1109/ICIF.2002.1021196 http://doi.org/10.1109/ICIF.2002.1021196 . .

SH Javadi , , , A Farina . . Radar networks: a review of features and challenges . . Inform Fus , , 2020 . . 61 48 - - 55 . . DOI: 10.1016/j.inffus.2020.03.005 http://doi.org/10.1016/j.inffus.2020.03.005 . .

M Jiang , , , W Yi , , , R Hoseinnezhad , , , 等 . . Distributed multi-sensor fusion using generalized multi-Bernoulli densities . . Proc 19 th Int Conf on Information Fusion , , 2016 . . p.1332 - - 1339 . . . .

SJ Julier . . An empirical study into the use of Chernoff information for robust, distributed fusion of Gaussian mixture models . . 9 th Int Conf on Information Fusion , , 2006 . . p.1 - - 8 . . DOI: 10.1109/ICIF.2006.301755 http://doi.org/10.1109/ICIF.2006.301755 . .

SJ Julier . . Fusion without independence . . Proc IET Seminar on Target Tracking and Data Fusion: Algorithms and Applications , , 2008 . . p.1 - - 4 . . DOI: 10.1049/ic:20080050 http://doi.org/10.1049/ic:20080050 . .

SJ Julier , , , T Bailey , , , JK Uhlmann . . Using exponential mixture models for suboptimal distributed data fusion . . IEEE Nonlinear Statistical Signal Processing Workshop , , 2006 . . p.160 - - 163 . . DOI: 10.1109/NSSPW.2006.4378844 http://doi.org/10.1109/NSSPW.2006.4378844 . .

H Kim , , , K Granström , , , L Gao , , , 等 . . 5G mmwave cooperative positioning and mapping using multi-model PHD filter and map fusion . . IEEE Trans Wirel Commun , , 2020 . . 19 ( ( 6 ): ): 3782 - - 3795 . . DOI: 10.1109/TWC.2020.2978479 http://doi.org/10.1109/TWC.2020.2978479 . .

D Li , , , KD Wong , , , YH Hu , , , 等 . . Detection, classification, and tracking of targets . . IEEE Signal Process Mag , , 2002 . . 19 ( ( 2 ): ): 17 - - 29 . . DOI: 10.1109/79.985674 http://doi.org/10.1109/79.985674 . .

GC Li , , , G Battistelli , , , W Yi , , , 等 . . Distributed multisensor multi-view fusion based on generalized covariance intersection . . Signal Process , , 2020 . . 166 107246 DOI: 10.1016/j.sigpro.2019.107246 http://doi.org/10.1016/j.sigpro.2019.107246 . .

SQ Li , , , W Yi , , , R Hoseinnezhad , , , 等 . . Robust distributed fusion with labeled random finite sets . . IEEE Trans Signal Process , , 2017 . . 66 ( ( 2 ): ): 278 - - 293 . . DOI: 10.1109/TSP.2017.2760286 http://doi.org/10.1109/TSP.2017.2760286 . .

SQ Li , , , G Battistelli , , , L Chisci , , , 等 . . Multi-sensor multi-object tracking with different fields-of-view using the LMB filter . . Proc 21 st Int Conf on Information Fusion , , 2018 . . p.1201 - - 1208 . . DOI: 10.23919/ICIF.2018.8455250 http://doi.org/10.23919/ICIF.2018.8455250 . .

SQ Li , , , G Battistelli , , , L Chisci , , , 等 . . Computationally efficient multi-agent multi-object tracking with labeled random finite sets . . IEEE Trans Signal Process , , 2019 . . 67 ( ( 1 ): ): 260 - - 275 . . DOI: 10.1109/TSP.2018.2880704 http://doi.org/10.1109/TSP.2018.2880704 . .

TC Li , , , K Da . . Best fit of mixture for distributed Poisson multi-Bernoulli mixture filtering . . 2020 . . DOI: 10.36227/techrxiv.12351710 http://doi.org/10.36227/techrxiv.12351710 . .

TC Li , , , F Hlawatsch . . A distributed particle-PHD filter with arithmetic-average PHD fusion . . 2017 . . http://arxiv.org/abs/1712.06128 http://arxiv.org/abs/1712.06128 , , . .

TC Li , , , JM Corchado , , , SD Sun , , , 等 . . Clustering for filtering: multi-object detection and estimation using multiple/massive sensors . . Inform Sci , , 2017a . . 388-389 172 - - 190 . . DOI: 10.1016/j.ins.2017.01.028 http://doi.org/10.1016/j.ins.2017.01.028 . .

TC Li , , , JM Corchado , , , J Prieto . . Convergence of distributed flooding and its application for distributed Bayesian filtering . . IEEE Trans Signal Inform Process Netw , , 2017b . . 3 ( ( 3 ): ): 580 - - 591 . . DOI: 10.1109/TSIPN.2016.2631944 http://doi.org/10.1109/TSIPN.2016.2631944 . .

TC Li , , , JM Corchado , , , SD Sun . . On generalized co-variance intersection for distributed PHD filtering and a simple but better alternative . . Proc 20 th Int Conf on Information Fusion , , 2017c . . p.1 - - 8 . . DOI: 10.23919/ICIF.2017.8009732 http://doi.org/10.23919/ICIF.2017.8009732 . .

TC Li , , , J Prieto , , , HQ Fan , , , 等 . . A robust multisensor PHD filter based on multi-sensor measurement clustering . . IEEE Commun Lett , , 2018a . . 22 ( ( 10 ): ): 2064 - - 2067 . . DOI: 10.1109/LCOMM.2018.2863387 http://doi.org/10.1109/LCOMM.2018.2863387 . .

TC Li , , , JM Corchado , , , HM Chen . . Distributed flooding-then-clustering: a lazy networking approach for distributed multiple target tracking . . Proc 21 st Int Conf on Information Fusion , , 2018b . . p.2415 - - 2422 . . DOI: 10.23919/icif.2018.8455759 http://doi.org/10.23919/icif.2018.8455759 . .

TC Li , , , F Hlawatsch , , , PM Djurić . . Cardinality-consensus-based PHD filtering for distributed multitarget tracking . . IEEE Signal Process Lett , , 2019a . . 26 ( ( 1 ): ): 49 - - 53 . . DOI: 10.1109/LSP.2018.2878064 http://doi.org/10.1109/LSP.2018.2878064 . .

TC Li , , , ZG Liu , , , Q Pan . . Distributed Bernoulli filtering for target detection and tracking based on arithmetic average fusion . . IEEE Signal Process Lett , , 2019b . . 26 ( ( 12 ): ): 1812 - - 1816 . . DOI: 10.1109/LSP.2019.2950588 http://doi.org/10.1109/LSP.2019.2950588 . .

TC Li , , , V Elvira , , , HQ Fan , , , 等 . . Local-diffusion-based distributed SMC-PHD filtering using sensors with limited sensing range . . IEEE Sens J , , 2019c . . 19 ( ( 4 ): ): 1580 - - 1589 . . DOI: 10.1109/JSEN.2018.2882084 http://doi.org/10.1109/JSEN.2018.2882084 . .

TC Li , , , JM Corchado , , , SD Sun . . Partial consensus and conservative fusion of Gaussian mixtures for distributed PHD fusion . . IEEE Trans Aerosp Electron Syst , , 2019d . . 55 ( ( 5 ): ): 2150 - - 2163 . . DOI: 10.1109/TAES.2018.2882960 http://doi.org/10.1109/TAES.2018.2882960 . .

TC Li , , , HQ Fan , , , J García , , , 等 . . Second-order statistics analysis and comparison between arithmetic and geometric average fusion: application to multi-sensor target tracking . . Inform Fus , , 2019e . . 51 233 - - 243 . . DOI: 10.1016/j.inffus.2019.02.009 http://doi.org/10.1016/j.inffus.2019.02.009 . .

TC Li , , , M Mallick , , , Q Pan . . A parallel filtering-communication based cardinality consensus approach for real-time distributed PHD filtering . . IEEE Sens J, in press. , , 2020a . . DOI: 10.1109/JSEN.2020.3004068 http://doi.org/10.1109/JSEN.2020.3004068 . .

TC Li , , , XX Wang , , , Y Liang , , , 等 . . On arithmetic average fusion and its application for distributed multi-Bernoulli multitarget tracking . . IEEE Trans Signal Process , , 2020b . . 68 2883 - - 2896 . . DOI: 10.1109/TSP.2020.2985643 http://doi.org/10.1109/TSP.2020.2985643 . .

F Lian , , , C Han , , , W Liu , , , 等 . . Joint spatial registration and multi-target tracking using an extended probability hypothesis density filter . . IET Radar Sonar Navig , , 2011 . . 5 ( ( 4 ): ): 441 - - 448 . . DOI: 10.1049/iet-rsn.2010.0057 http://doi.org/10.1049/iet-rsn.2010.0057 . .

F Lian , , , LM Hou , , , J Liu , , , 等 . . Constrained multisensor control using a multi-target MSE bound and a δ -GLMB filter . . Sensors , , 2018a . . 18 ( ( 7 ): ): 2308 DOI: 10.3390/s18072308 http://doi.org/10.3390/s18072308 . .

F Lian , , , LM Hou , , , B Wei , , , 等 . . Sensor selection for decentralized large-scale multi-target tracking network . . Sensors , , 2018b . . 18 ( ( 12 ): ): 4115 DOI: 10.3390/s18124115 http://doi.org/10.3390/s18124115 . .

ME Liggins , , , DL Hall , , , J Llinas . . Handbook of Multisensor Data Fusion: Theory and Practice . . CRC Press, Boca Raton, USA. , , 2008 . . .

WF Liu , , , YM Chen , , , HL Cui , , , 等 . . Multi-sensor tracking with non-overlapping field for the GLMB filter . . Proc Int Conf on Control, Automation and Information Sciences , , 2017 . . p.197 - - 202 . . DOI: 10.1109/ICCAIS.2017.8217575 http://doi.org/10.1109/ICCAIS.2017.8217575 . .

R Mahler . . Optimal/robust distributed data fusion: a unified approach . . Proc Signal Processing, Sensor Fusion, and Target Recognition IX , , 2000 . . p.128 - - 138 . . DOI: 10.1117/12.395064 http://doi.org/10.1117/12.395064 . .

R Mahler . . Multitarget Bayes filtering via first-order multitarget moments . . IEEE Trans Aerosp Electron Syst , , 2003 . . 39 ( ( 4 ): ): 1152 - - 1178 . . DOI: 10.1109/TAES.2003.1261119 http://doi.org/10.1109/TAES.2003.1261119 . .

R Mahler . . PHD filters of higher order in target number . . IEEE Trans Aerosp Electron Syst , , 2007a . . 43 ( ( 4 ): ): 1523 - - 1543 . . DOI: 10.1109/TAES.2007.4441756 http://doi.org/10.1109/TAES.2007.4441756 . .

R Mahler . . Statistical Multisource-Multitarget Information Fusion . . Artech House, Norwood, USA. Mahler R. 2007c. Unified sensor management using CPHD filters. Proc 10 th Int Conf on Information Fusion , , 2007b . . p.1 - - 7 . . DOI: 10.1109/ICIF.2007.4407996 http://doi.org/10.1109/ICIF.2007.4407996 . .

R Mahler . . The multisensor PHD filter: I. General solution via multitarget calculus. Proc Signal Processing, Sensor Fusion, and Target Recognition XVⅢ, Article 73360E. . . 2009a . . DOI: 10.1117/12.818024 http://doi.org/10.1117/12.818024 . .

R Mahler . . The multisensor PHD filter: Ⅱ. Erroneous solution via "Poisson magic". Proc Signal Processing, Sensor Fusion, and Target Recognition XVⅢ, Article 73360D. . . 2009b . . DOI: 10.1117/12.818025 http://doi.org/10.1117/12.818025 . .

R Mahler . . PHD filters for nonstandard targets, I: extended targets . . Proc 12 th Int Conf on Information Fusion , , 2009c . . p.915 - - 921 . . . .

R Mahler . . Approximate multisensor CPHD and PHD filters . . Proc 13 th Int Conf on Information Fusion , , 2010 . . p.1 - - 8 . . DOI: 10.1109/ICIF.2010.5711984 http://doi.org/10.1109/ICIF.2010.5711984 . .

R Mahler . . Toward a theoretical foundation for distributed fusion . . In: Hall D, Chong CY, Llinas J, et al. (Eds.), Distributed Data Fusion for Network-Centric Operations. CRC Press, Boca Raton, FL, USA , , 2012 . . p.199 - - 224 . . DOI: 10.1201/b10124-8 http://doi.org/10.1201/b10124-8 . .

R Mahler . . "Statistics 102" for multisource-multitarget detection and tracking . . IEEE J Sel Top Signal Process , , 2013 . . 7 ( ( 3 ): ): 376 - - 389 . . DOI: 10.1109/JSTSP.2013.2253084 http://doi.org/10.1109/JSTSP.2013.2253084 . .

R Mahler . . Advances in Statistical Multisource-Multitarget Information Fusion . . Artech House, Norwood, USA. , , 2014 . . .

F Meyer , , , T Kropfreiter , , , JL Williams , , , 等 . . Message passing algorithms for scalable multitarget tracking . . Proc IEEE , , 2018 . . 106 ( ( 2 ): ): 221 - - 259 . . DOI: 10.1109/JPROC.2018.2789427 http://doi.org/10.1109/JPROC.2018.2789427 . .

D Musicki , , , R Evans . . Joint integrated probabilistic data association: JIPDA . . IEEE Trans Aerosp Electron Syst , , 2004 . . 40 ( ( 3 ): ): 1093 - - 1099 . . DOI: 10.1109/TAES.2004.1337482 http://doi.org/10.1109/TAES.2004.1337482 . .

S Nagappa , , , DE Clark . . On the ordering of the sensors in the iterated-corrector probability hypothesis density (PHD) filter . . Proc Signal Processing, Sensor Fusion, and Target Recognition XX, Article 80500M. , , 2011 . . DOI: 10.1117/12.884618 http://doi.org/10.1117/12.884618 . .

S Nannuru , , , S Blouin , , , M Coates , , , 等 . . Multisensor CPHD filter . . IEEE Trans Aerosp Electron Syst , , 2016 . . 52 ( ( 4 ): ): 1834 - - 1854 . . DOI: 10.1109/TAES.2016.150265 http://doi.org/10.1109/TAES.2016.150265 . .

F Nielsen , , , R Bhatia . . Matrix Information Geometry . . Springer, Berlin, Germany. , , 2013 . . DOI: 10.1007/978-3-642-30232-9 http://doi.org/10.1007/978-3-642-30232-9 . .

R Olfati-Saber , , , JA Fax , , , RM Murray . . Consensus and cooperation in networked multi-agent systems . . Proc IEEE , , 2007 . . 95 ( ( 1 ): ): 215 - - 233 . . DOI: 10.1109/JPROC.2006.887293 http://doi.org/10.1109/JPROC.2006.887293 DOI: 10.1109/JPROC.2006.887293 http://doi.org/10.1109/JPROC.2006.887293 . .

U Orguner , , , C Lundquist , , , K Granström . . Extended target tracking with a cardinalized probability hypothesis density filter . . Proc 14 th Int Conf on Information Fusion , , 2011 . . p.1 - - 8 . . . .

C Ouyang , , , H Ji . . Scale unbalance problem in product multisensor PHD filter . . Electron Lett , , 2011 . . 47 ( ( 22 ): ): 1247 - - 1249 . . DOI: 10.1049/el.2011.1843 http://doi.org/10.1049/el.2011.1843 . .

G Papa , , , R Repp , , , F Meyer , , , 等 . . Distributed Bernoulli filtering using likelihood consensus . . IEEE Trans Signal Inform Process Netw , , 2018 . . 5 ( ( 2 ): ): 218 - - 233 . . DOI: 10.1109/TSIPN.2018.2881718 http://doi.org/10.1109/TSIPN.2018.2881718 . .

NT Pham , , , WM Huang , , , SH Ong . . Multiple sensor multiple object tracking with GMPHD filter . . Proc 10 th Int Conf on Information Fusion , , 2007 . . p.1 - - 7 . . DOI: 10.1109/ICIF.2007.4408087 http://doi.org/10.1109/ICIF.2007.4408087 . .

RK Ramachandran , , , N Fronda , , , GS Sukhatme . . Resilience in multi-robot multi-target tracking with unknown number of targets through reconfiguration . . 2020 . . https://arxiv.org/abs/2004.07197 https://arxiv.org/abs/2004.07197 , , . .

S Reuter , , , BT Vo , , , BN Vo , , , 等 . . The labeled multi-Bernoulli filter . . IEEE Trans Signal Process , , 2014 . . 62 ( ( 12 ): ): 3246 - - 3260 . . DOI: 10.1109/TSP.2014.2323064 http://doi.org/10.1109/TSP.2014.2323064 . .

B Ristic , , , BN Vo , , , D Clark . . A note on the reward function for PHD filters with sensor control . . IEEE Trans Aerosp Electron Syst , , 2011 . . 47 ( ( 2 ): ): 1521 - - 1529 . . DOI: 10.1109/TAES.2011.5751278 http://doi.org/10.1109/TAES.2011.5751278 . .

B Ristic , , , DE Clark , , , N Gordon . . Calibration of multitarget tracking algorithms using non-cooperative targets . . IEEE J Sel Top Signal Process , , 2013a . . 7 ( ( 3 ): ): 390 - - 398 . . DOI: 10.1109/JSTSP.2013.2256877 http://doi.org/10.1109/JSTSP.2013.2256877 . .

B Ristic , , , BT Vo , , , BN Vo , , , 等 . . A tutorial on Bernoulli filters: theory, implementation and applications . . IEEE Trans Signal Process , , 2013b . . 61 ( ( 13 ): ): 3406 - - 3430 . . DOI: 10.1109/TSP.2013.2257765 http://doi.org/10.1109/TSP.2013.2257765 . .

AA Saucan , , , MJ Coates , , , M Rabbat . . A multisensor multi-Bernoulli filter . . IEEE Trans Signal Process , , 2017 . . 65 ( ( 20 ): ): 5495 - - 5509 . . DOI: 10.1109/TSP.2017.2723348 http://doi.org/10.1109/TSP.2017.2723348 . .

AH Sayed , , , PM Djurić , , , F Hlawatsch . . Distributed Kalman and particle filtering . . In: Djurić PM, Richard C (Eds.), Cooperative and Graph Signal Processing. Academic Press, Amsterdam, USA , , 2018 . . p.169 - - 207 . . DOI: 10.1016/B978-0-12-813677-5.00006-7 http://doi.org/10.1016/B978-0-12-813677-5.00006-7 . .

DW Shi , , , TW Chen , , , L Shi . . An event-triggered approach to state estimation with multiple point- and set-valued measurements . . Automatica , , 2014 . . 50 ( ( 6 ): ): 1641 - - 1648 . . DOI: 10.1016/j.automatica.2014.04.004 http://doi.org/10.1016/j.automatica.2014.04.004 . .

WJ Si , , , HF Zhu , , , ZY Qu . . Multi-sensor Poisson multi-Bernoulli filter based on partitioned measurements . . IET Radar Sonar Nav , , 2020 . . 14 ( ( 6 ): ): 860 - - 869 . . DOI: 10.1049/iet-rsn.2019.0510 http://doi.org/10.1049/iet-rsn.2019.0510 . .

J Smith , , , F Particke , , , M Hiller , , , 等 . . Systematic analysis of the PMBM, PHD, JPDA, and GNN multi-target tracking filters . . Proc 22 th Int Conf on Information Fusion , , 2019 . . p.1 - - 8 . . . .

R Streit , , , C Degen , , , W Koch . . The pointillist family of multitarget tracking filters . . 2015 . . https://arxiv.org/abs/1505.08000 https://arxiv.org/abs/1505.08000 , , . .

EB Sudderth , , , AT Ihler , , , M Isard , , , 等 . . Nonparametric belief propagation . . Commun ACM , , 2010 . . 53 ( ( 10 ): ): 95 - - 103 . . DOI: 10.1145/1831407.1831431 http://doi.org/10.1145/1831407.1831431 . .

AB Tsybakov . . Introduction to Nonparametric Estimation . . Springer Science & Business Media, New York, USA. , , 2008 . . DOI: 10.1007/b13794 http://doi.org/10.1007/b13794 . .

JK Uhlmann . . General data fusion for estimates with unknown cross covariances . . Proc Signal Processing, Sensor Fusion, and Target Recognition V , , 1996 . . p.536 - - 548 . . DOI: 10.1117/12.243195 http://doi.org/10.1117/12.243195 . .

M Üney , , , S Julier , , , D Clark , , , 等 . . Monte Carlo realisation of a distributed multi-object fusion algorithm . . Proc Sensor Signal Processing for Defence , , 2010 . . p.1 - - 5 . . DOI: 10.1049/ic.2010.0232 http://doi.org/10.1049/ic.2010.0232 . .

M Üney , , , DE Clark , , , SJ Julier . . Information measures in distributed multitarget tracking . . Proc 14 th Int Conf on Information Fusion , , 2011 . . p.1 - - 8 . . . .

M Üney , , , DE Clark , , , SJ Julier . . Distributed fusion of PHD filters via exponential mixture densities . . IEEE J Sel Top Signal Process , , 2013 . . 7 ( ( 3 ): ): 521 - - 531 . . DOI: 10.1109/JSTSP.2013.2257162 http://doi.org/10.1109/JSTSP.2013.2257162 . .

M Üney , , , B Mulgrew , , , DE Clark . . A cooperative approach to sensor localisation in distributed fusion networks . . IEEE Trans Signal Process , , 2015 . . 64 ( ( 5 ): ): 1187 - - 1199 . . DOI: 10.1109/TSP.2015.2493981 http://doi.org/10.1109/TSP.2015.2493981 . .

M Üney , , , B Mulgrew , , , DE Clark . . Latent parameter estimation in fusion networks using separable likelihoods . . IEEE Trans Signal Inform Process Netw , , 2018 . . 4 ( ( 4 ): ): 752 - - 768 . . DOI: 10.1109/TSIPN.2018.2825599 http://doi.org/10.1109/TSIPN.2018.2825599 . .

M Üney , , , J Houssineau , , , E Delande , , , 等 . . Fusion of finite-set distributions: pointwise consistency and global cardinality . . IEEE Trans Aerosp Electron Syst , , 2019 . . 55 ( ( 6 ): ): 2759 - - 2773 . . DOI: 10.1109/TAES.2019.2893083 http://doi.org/10.1109/TAES.2019.2893083 . .

M Vasic , , , D Mansolino , , , A Martinoli . . A system implementation and evaluation of a cooperative fusion and tracking algorithm based on a Gaussian mixture PHD filter . . Proc IEEE/RSJ Int Conf on Intelligent Robots and Systems , , 2016 . . p.4172 - - 4179 . . DOI: 10.1109/IROS.2016.7759614 http://doi.org/10.1109/IROS.2016.7759614 . .

A Vempaty , , , L Tong , , , PK Varshney . . Distributed inference with Byzantine data: state-of-the-art review on data falsification attacks . . IEEE Signal Process Mag , , 2013 . . 30 ( ( 5 ): ): 65 - - 75 . . DOI: 10.1109/MSP.2013.2262116 http://doi.org/10.1109/MSP.2013.2262116 . .

BN Vo , , , WK Ma . . The Gaussian mixture probability hypothesis density filter . . IEEE Trans Signal Process , , 2006 . . 54 ( ( 11 ): ): 4091 DOI: 10.1109/TSP.2006.881190 http://doi.org/10.1109/TSP.2006.881190 . .

BN Vo , , , BT Vo . . A multi-scan labeled random finite set model for multi-object state estimation . . IEEE Trans Signal Process , , 2019 . . 67 ( ( 19 ): ): 4948 - - 4963 . . DOI: 10.1109/TSP.2019.2928953 http://doi.org/10.1109/TSP.2019.2928953 . .

BN Vo , , , S Singh , , , A Doucet . . Sequential Monte Carlo methods for multitarget filtering with random finite sets . . IEEE Trans Aerosp Electron Syst , , 2005 . . 41 ( ( 4 ): ): 1224 - - 1245 . . DOI: 10.1109/TAES.2005.1561884 http://doi.org/10.1109/TAES.2005.1561884 . .

BN Vo , , , BT Vo , , , D Phung . . Labeled random finite sets and the Bayes multi-target tracking filter . . IEEE Trans Signal Process , , 2014 . . 62 ( ( 24 ): ): 6554 - - 6567 . . DOI: 10.1109/TSP.2014.2364014 http://doi.org/10.1109/TSP.2014.2364014 . .

BN Vo , , , M Mallick , , , Y Bar-Shalom , , , 等 . . Multitarget tracking . . In: Webster JG (Ed.), Wiley Encyclopedia of Electrical and Electronics Engineering. John Wiley & Sons, Inc., NJ, USA , , 2015 . . p.1 - - 15 . . DOI: 10.1002/047134608X.W8275 http://doi.org/10.1002/047134608X.W8275 . .

BN Vo , , , BT Vo , , , M Beard . . Multi-sensor multi-object tracking with the generalized labeled multi-Bernoulli filter . . IEEE Trans Signal Process , , 2019 . . 67 ( ( 23 ): ): 5952 - - 5967 . . DOI: 10.1109/TSP.2019.2946023 http://doi.org/10.1109/TSP.2019.2946023 . .

BT Vo . . Random Finite Sets in Multi-object Filtering . . PhD Thesis, University of Western Australia, Australia. Vo BT, Vo BN. 2013. Labeled random finite sets and multi-object conjugate priors. IEEE Trans Signal Process , , 2008 . . 61 ( ( 13 ): ): 3460 - - 3475 . . DOI: 10.1109/TSP.2013.2259822 http://doi.org/10.1109/TSP.2013.2259822 . .

BT Vo , , , BN Vo , , , A Cantoni . . Analytic implementations of the cardinalized probability hypothesis density filter . . IEEE Trans Signal Process , , 2007 . . 55 ( ( 7 ): ): 3553 - - 3567 . . DOI: 10.1109/TSP.2007.894241 http://doi.org/10.1109/TSP.2007.894241 DOI: 10.1109/TSP.2007.894241 http://doi.org/10.1109/TSP.2007.894241 . .

BT Vo , , , BN Vo , , , A Cantoni . . The cardinality balanced multi-target multi-Bernoulli filter and its implementations . . IEEE Trans Signal Process , , 2009 . . 57 ( ( 2 ): ): 409 - - 423 . . DOI: 10.1109/TSP.2008.2007924 http://doi.org/10.1109/TSP.2008.2007924 . .

BT Vo , , , BN Vo , , , R Hoseinnezhad , , , 等 . . Robust multi-Bernoulli filtering . . IEEE J Sel Top Signal Process , , 2013 . . 7 ( ( 3 ): ): 399 - - 409 . . DOI: 10.1109/JSTSP.2013.2252325 http://doi.org/10.1109/JSTSP.2013.2252325 . .

BL Wang , , , W Yi , , , S Li , , , 等 . . Distributed multitarget tracking via generalized multi-Bernoulli random finite sets . . Proc 18 th Int Conf on Information Fusion , , 2015 . . p.253 - - 261 . . . .

BL Wang , , , W Yi , , , R Hoseinnezhad , , , 等 . . Distributed fusion with multi-Bernoulli filter based on generalized covariance intersection . . IEEE Trans Signal Process , , 2017 . . 65 ( ( 1 ): ): 242 - - 255 . . DOI: 10.1109/TSP.2016.2617825 http://doi.org/10.1109/TSP.2016.2617825 . .

BS Wei , , , B Nener , , , WF Liu , , , 等 . . Centralized multisensor multi-target tracking with labeled random finite sets . . Proc Int Conf on Control, Automation and Information Sciences , , 2016 . . p.82 - - 87 . . DOI: 10.1109/ICCAIS.2016.7822440 http://doi.org/10.1109/ICCAIS.2016.7822440 . .

P Willett , , , Y Ruan , , , R Streit . . PMHT: problems and some solutions . . IEEE Trans Aerosp Electron Syst , , 2002 . . 38 ( ( 3 ): ): 738 - - 754 . . DOI: 10.1109/TAES.2002.1039396 http://doi.org/10.1109/TAES.2002.1039396 . .

JL Williams . . Marginal multi-Bernoulli filters: RFS derivation of MHT, JIPDA, and association-based MeMBer . . IEEE Trans Aerosp Electron Syst , , 2015 . . 51 ( ( 3 ): ): 1664 - - 1687 . . DOI: 10.1109/TAES.2015.130550 http://doi.org/10.1109/TAES.2015.130550 . .

YX Xia , , , K Granstrcom , , , L Svensson , , , 等 . . Performance evaluation of multi-Bernoulli conjugate priors for multi-target filtering . . Proc 20 th Int Conf on Information Fusion , , 2017 . . p.1 - - 8 . . DOI: 10.23919/ICIF.2017.8009710 http://doi.org/10.23919/ICIF.2017.8009710 . .

LY Xiang , , , F Chen , , , W Ren , , , 等 . . Advances in network controllability . . IEEE Circ Syst Mag , , 2019 . . 19 ( ( 2 ): ): 8 - - 32 . . DOI: 10.1109/MCAS.2019.2909446 http://doi.org/10.1109/MCAS.2019.2909446 . .

L Xiao , , , S Boyd . . Fast linear iterations for distributed averaging . . Syst Contr Lett , , 2004 . . 53 ( ( 1 ): ): 65 - - 78 . . DOI: 10.1016/j.sysconle.2004.02.022 http://doi.org/10.1016/j.sysconle.2004.02.022 . .

JK Yan , , , WQ Pu , , , SH Zhou , , , 等 . . Optimal resource allocation for asynchronous multiple targets tracking in heterogeneous radar network . . IEEE Trans Signal Process , , 2020a . . 68 4055 - - 4068 . . DOI: 10.1109/TSP.2020.3007313 http://doi.org/10.1109/TSP.2020.3007313 . .

JK Yan , , , WQ Pu , , , SH Zhou , , , 等 . . Collaborative detection and power allocation framework for target tracking in multiple radar system . . Inform Fus , , 2020b . . 55 173 - - 183 . . DOI: 10.1016/j.inffus.2019.08.010 http://doi.org/10.1016/j.inffus.2019.08.010 . .

JY Yu , , , M Coates , , , M Rabbat . . Distributed multi-sensor CPHD filter using pairwise Gossiping . . Proc IEEE Int Conf on Acoustics, Speech and Signal Processing , , 2016 . . p.3176 - - 3180 . . DOI: 10.1109/ICASSP.2016.7472263 http://doi.org/10.1109/ICASSP.2016.7472263 . .

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