{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T17:19:44Z","timestamp":1782321584162,"version":"3.54.5"},"reference-count":29,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2015,11,6]],"date-time":"2015-11-06T00:00:00Z","timestamp":1446768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51409214"],"award-info":[{"award-number":["51409214"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Multi-sensor sonar tracking has many advantages, such as the potential to reduce the overall measurement uncertainty and the possibility to hide the receiver. However, the use of multi-target multi-sensor sonar tracking is challenging because of the complexity of the underwater environment, especially the low target detection probability and extremely large number of false alarms caused by reverberation. In this work, to solve the problem of multi-target multi-sensor sonar tracking in the presence of clutter, a novel probabilistic multi-hypothesis tracker (PMHT) approach based on the extended Kalman filter (EKF) and unscented Kalman filter (UKF) is proposed. The PMHT can efficiently handle the unknown measurements-to-targets and measurements-to-transmitters data association ambiguity. The EKF and UKF are used to deal with the high degree of nonlinearity in the measurement model. The simulation results show that the proposed algorithm can improve the target tracking performance in a cluttered environment greatly, and its computational load is low.<\/jats:p>","DOI":"10.3390\/s151128177","type":"journal-article","created":{"date-parts":[[2015,11,6]],"date-time":"2015-11-06T11:12:15Z","timestamp":1446808335000},"page":"28177-28192","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["PMHT Approach for Multi-Target Multi-Sensor Sonar Tracking in Clutter"],"prefix":"10.3390","volume":"15","author":[{"given":"Xiaohua","family":"Li","sequence":"first","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5973-9780","authenticated-orcid":false,"given":"Yaan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3285-6490","authenticated-orcid":false,"given":"Jing","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6501-5922","authenticated-orcid":false,"given":"Xiao","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Miao","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,11,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Erdinc, O., Willett, P., and Bar-Shalom, Y. (2005, January 25\u201328). Probability hypothesis density filter for multitarget multisensor tracking. Proceeding of the 7th International Conference on Information Fusion, Philadelphia, PA, USA.","DOI":"10.1109\/ICIF.2005.1591848"},{"key":"ref_2","unstructured":"Fletcher, F., and Arulampalam, S. (2012, January 9\u201312). A comparison of existence-based multitarget trackers for multistatic sonar. Proceeding of the 15th IEEE International Conference on Information Fusion, Singapore, Singapore."},{"key":"ref_3","unstructured":"Georgy, J., Noureldin, A., and Mellema, G.R. (2011). IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"12244","DOI":"10.3390\/s130912244","article-title":"Analytic performance prediction of track-to-track association with biased data in multi-sensor multi-target tracking scenarios","volume":"13","author":"Tian","year":"2013","journal-title":"Sensors"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Lang, T., and Hayes, G. (2007, January 18\u201321). Evaluation of an MHT-enabled tracker with simulated multistatic sonar data. Proceeding of the IEEE Oceans Conference, Aberdeen, Scotland.","DOI":"10.1109\/OCEANSE.2007.4302265"},{"key":"ref_6","unstructured":"Coraluppi, S., Carthel, C., and Micheli, M. (July, January 30). DMHT-based undersea surveillance: Insights from MSTWG analysis and recent sea-trial experimentation. Proceedings of the 11th International Conference on Information Fusion, Cologne, Germany."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Hempel, C. (2006, January 10\u201313). Probabilistic multi-hypothesis tracking for distributed multistatic active sonar. Proceedings of the 9th International Conference on Information Fusion, Florence, Italy.","DOI":"10.1109\/ICIF.2006.301760"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1109\/TAES.2013.120431","article-title":"Approaches to Cartesian data association passive radar tracking in a DAB\/DVB network","volume":"50","author":"Choi","year":"2014","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Blanding, W., Willett, P., and Bar-Shalom, Y. (2008). ML-PDA: Advances and a new multitarget approach. EURASIP J. Adv. Signal Process.","DOI":"10.1155\/2008\/260186"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Willett, P., and Corallupi, S. (2005, January 5\u201312). Application of the MLPDA to bistatic sonar. Proceedings of the IEEE Aerospace Conference, Big Sky, MT, USA.","DOI":"10.1109\/AERO.2005.1559498"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Blanding, W., Willett, P., and Corallupi, S. (2007, January 18\u201321). Sequential ML for multistatic sonar tracking. Proceedings of the IEEE Oceans Conference, Aberdeen, Scotland.","DOI":"10.1109\/OCEANSE.2007.4302356"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Schoenecker, S., Willett, P., and Bar-Shalom, Y. (2011, January 25). Maximum likelihood probabilistic multi-hypothesis tracker applied to multistatic sonar data sets. Proceedings of the SPIE Conf. Signal Processing, Sensor Fusion, and Target Recognition, Orlando, FL, USA.","DOI":"10.1117\/12.884766"},{"key":"ref_13","unstructured":"Willett, P., Corallupi, S., and Blanding, W. (2006, January 4\u201311). Comparison of soft and hard assignment ML trackers on multistatic data. Proceedings of the IEEE Aerospace Conference, Big Sky, MT, USA."},{"key":"ref_14","unstructured":"Erdinc, O., Willett, P., and Coraluppi, S. (July, January 30). The Gaussian mixture cardinalized PHD tracker on MSTWG and SEABAR\u201907 datasets. Proceedings of the 11th International Conference on Information Fusion, Cologne, Germany."},{"key":"ref_15","unstructured":"Georgescu, R., Schoenecker, S., and Willett, P. (2009, January 6\u20139). GM-CPHD and MLPDA applied to the SEABAR07 and TNO-blind multi-static sonar data. Proceedings of the 12th International Conference on Information Fusion, Seattle, WA, USA."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Nandakumaran, N., Tharmarasa, R., Lang, T., and Kirubarajan, T. (2008, January 16). Gaussian mixture probability hypothesis density smoothing with multistatic sonar. Proceedings of the SPIE, Orlando, FL, USA.","DOI":"10.1117\/12.779236"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Georgescu, R., and Willett, P. (2010, January 23). The GM-CPHD applied to the corrected TNO-blind, adjusted SEABAR07 and metron multi-static sonar datasets. Proceedings of the SPIE, Orlando, FL, USA.","DOI":"10.1117\/12.849827"},{"key":"ref_18","unstructured":"Lang, T., and Dunne, D. (July, January 30). Application of particle filters in a hierarchical data fusion system. Proceedings of the 11th International Conference on Information Fusion, Cologne, Germany."},{"key":"ref_19","unstructured":"Grimmett, D. (2009, January 6\u20139). Specular-cued multistatic sonar tracking on the SEABAR07 dataset. Proceedings of the 12th International Conference on Information Fusion, Seattle, WA, USA."},{"key":"ref_20","unstructured":"Streit, R., and Luginbuhl, T. (1995). Probabilistic Multi-Hypothesis Tracking. Technical Report 10,428, NUWC-NPT, Newport RI."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"738","DOI":"10.1109\/TAES.2002.1039396","article-title":"The PMHT: Its problems and some solutions","volume":"38","author":"Willett","year":"2002","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_22","first-page":"93","article-title":"A critical look at the PMHT","volume":"4","author":"Crouse","year":"2009","journal-title":"J. Adv. Inf. Fusion"},{"key":"ref_23","unstructured":"Bar-Shalom, Y., Li, X.R., and Kirubarajan, T. (1995). Estimation with Application to Tracking and Navigation, YBS Publishing."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"964","DOI":"10.1109\/JOE.2005.862117","article-title":"Multistatic Sonar Localization","volume":"31","author":"Corallupi","year":"2006","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1016\/j.sigpro.2006.07.003","article-title":"Manoeuvring target tracking using multiple bistatic range and range-rate measurements","volume":"87","author":"Petsios","year":"2007","journal-title":"Signal Process."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"23067","DOI":"10.3390\/s141223067","article-title":"A cognition-based method to ease the computational load for an extended Kalman filter","volume":"14","author":"Li","year":"2014","journal-title":"Sensors"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1109\/MAES.2005.1499276","article-title":"Nonlinear filters: Beyond the Kalman filter","volume":"20","author":"Daum","year":"2005","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_28","first-page":"1","article-title":"The PMHT for passive radar in a DAB\/DVB network","volume":"9","author":"Choi","year":"2014","journal-title":"J. Adv. Inf. Fusion"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1109\/TAES.2012.6129656","article-title":"Two methods for target localization in multistatic passive radar","volume":"48","author":"Malanowski","year":"2012","journal-title":"IEEE Trans. Aerosp. Electron. Syst."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/11\/28177\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:51:41Z","timestamp":1760215901000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/11\/28177"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,6]]},"references-count":29,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2015,11]]}},"alternative-id":["s151128177"],"URL":"https:\/\/doi.org\/10.3390\/s151128177","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,6]]}}}