{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T18:19:37Z","timestamp":1772907577235,"version":"3.50.1"},"reference-count":42,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T00:00:00Z","timestamp":1691452800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61701148"],"award-info":[{"award-number":["61701148"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This paper presents a tracking algorithm for joint estimation of direction of arrival (DOA) and polarization parameters, which exhibit dynamic behavior due to the movement of signal source carriers. The proposed algorithm addresses the challenge of real-time estimation in multi-target scenarios with an unknown number. This algorithm is built upon the Multi-target Multi-Bernoulli (MeMBer) filter algorithm, which makes use of a sensor array called Circular Orthogonal Double-Dipole (CODD). The algorithm begins by constructing a Minimum Description Length (MDL) principle, taking advantage of the characteristics of the polarization-sensitive array. This allows for adaptive estimation of the number of signal sources and facilitates the separation of the noise subspace. Subsequently, the joint parameter Multiple Signal Classification (MUSIC) spatial spectrum function is employed as the pseudo-likelihood function, overcoming the limitations imposed by unknown prior information constraints. To approximate the posterior distribution of MeMBer filters, Sequential Monte Carlo (SMC) method is utilized. The simulation results demonstrate that the proposed algorithm achieves excellent tracking accuracy in joint DOA-polarization parameter estimation, whether in scenarios with known or unknown numbers of signal sources. Moreover, the algorithm demonstrates robust tracking convergence even under low Signal-to-Noise Ratio (SNR) conditions.<\/jats:p>","DOI":"10.3390\/rs15163929","type":"journal-article","created":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T12:38:59Z","timestamp":1691498339000},"page":"3929","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Joint Direction of Arrival-Polarization Parameter Tracking Algorithm Based on Multi-Target Multi-Bernoulli Filter"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2685-7876","authenticated-orcid":false,"given":"Zhikun","family":"Chen","sequence":"first","affiliation":[{"name":"School of Automation (School of Artificial Intelligence), Hangzhou Dianzi University, Hangzhou 310018, China"}]},{"given":"Bin\u2019an","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Automation (School of Artificial Intelligence), Hangzhou Dianzi University, Hangzhou 310018, China"}]},{"given":"Ruiheng","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Automation (School of Artificial Intelligence), Hangzhou Dianzi University, Hangzhou 310018, China"}]},{"given":"Yuchao","family":"Lou","sequence":"additional","affiliation":[{"name":"School of Automation (School of Artificial Intelligence), Hangzhou Dianzi University, Hangzhou 310018, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1109\/TAP.1986.1143830","article-title":"Multiple emitter location and signal parameter estimation","volume":"34","author":"Schmidt","year":"1986","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Ate\u015favc\u0131, C.S., Bahad\u0131rlar, Y., and Ald\u0131rmaz-\u00c7olak, S. (2021, January 9\u201311). DoA Estimation in the Presence of Mutual Coupling Using Root-MUSIC Algorithm. Proceedings of the 2021 8th International Conference on Electrical and Electronics Engineering (ICEEE), Antalya, Turkey.","DOI":"10.1109\/ICEEE52452.2021.9415938"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Yin, D., and Zhang, F. (2020, January 6\u20138). Uniform linear array MIMO radar unitary root MUSIC Angle estimation. Proceedings of the 2020 Chinese Automation Congress (CAC), Shanghai, China.","DOI":"10.1109\/CAC51589.2020.9327698"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"752","DOI":"10.1109\/LCOMM.2018.2802491","article-title":"Extended-Aperture Unitary Root MUSIC-Based DOA Estimation for Coprime Array","volume":"22","author":"Li","year":"2018","journal-title":"IEEE Commun. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1109\/29.32276","article-title":"ESPRIT-estimation of signal parameters via rotational invariance techniques","volume":"37","author":"Roy","year":"1989","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"720","DOI":"10.1109\/29.17564","article-title":"MUSIC, maximum likelihood and Cramer-Rao bound","volume":"37","author":"Stoica","year":"1989","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1109\/LCOMM.2019.2958913","article-title":"Robust Weighted Subspace Fitting for DOA Estimation via Block Sparse Recovery","volume":"24","author":"Meng","year":"2020","journal-title":"IEEE Commun. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Tong, Y., Zuo, W., Xin, J., Zheng, N., and Sano, A. (2021, January 22\u201324). Direction-of-Arrival and Range Estimation of Near-Field Sources Based on Subspace Fitting. Proceedings of the 2021 China Automation Congress (CAC), Beijing, China.","DOI":"10.1109\/CAC53003.2021.9727782"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1109\/78.365290","article-title":"Projection approximation subspace tracking","volume":"4","author":"Yang","year":"1995","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1109\/78.978377","article-title":"A Bayesian approach to tracking multiple targets using sensor arrays and particle filters","volume":"50","author":"Orton","year":"2002","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1152","DOI":"10.1109\/TAES.2003.1261119","article-title":"Multitarget Bayes filtering via first-order multitarget moments","volume":"39","author":"Mahler","year":"2003","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Vo, B.T., and Vo, B.N. (2011, January 6\u20139). A random finite set conjugate prior and application to multi-target tracking. Proceedings of the 2011 Seventh International Conference on Intelligent Sensors, Sensor Networks and Information Processing, Adelaide, SA, Australia.","DOI":"10.1109\/ISSNIP.2011.6146549"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3553","DOI":"10.1109\/TSP.2007.894241","article-title":"Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter","volume":"55","author":"Vo","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1109\/JSTSP.2013.2251605","article-title":"Computationally-Tractable Approximate PHD and CPHD Filters for Superpositional Sensors","volume":"7","author":"Nannuru","year":"2013","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1109\/TSP.2015.2504349","article-title":"CPHD-DOA Tracking of Multiple Extended Sonar Targets in Impulsive Environments","volume":"64","author":"Saucan","year":"2016","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_16","unstructured":"Choppala, P.B., Teal, P.D., and Frean, M.R. (2014, January 7\u201310). Adapting the multi-Bernoulli filter to phased array observations using MUSIC as pseudo-likelihood. Proceedings of the 17th International Conference on Information Fusion (FUSION), Salamanca, Spain."},{"key":"ref_17","first-page":"2430","article-title":"DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli","volume":"43","author":"Wu","year":"2021","journal-title":"Syst. Eng. Electron."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5943","DOI":"10.1109\/ACCESS.2020.3048952","article-title":"Time-Varying DOA Tracking Algorithm Based on Generalized Labeled Multi-Bernoulli","volume":"9","author":"Zhao","year":"2021","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"103228","DOI":"10.1016\/j.dsp.2021.103228","article-title":"A new measurement association mapping strategy for DOA tracking\u2014ScienceDirect","volume":"118","author":"Zhao","year":"2021","journal-title":"Digit. Signal Process."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1109\/TAP.1983.1143038","article-title":"Direction finding with an array of antennas having diverse polarizations","volume":"31","author":"Ferrara","year":"1983","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1109\/8.884492","article-title":"Self-initiating MUSIC-based direction finding and polarization estimation in spatio-polarizational beamspace","volume":"48","author":"Wong","year":"2000","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_22","unstructured":"Yuan, Q.W., Chen, Q., and Sawaya, K. (2006, January 17\u201319). MUSIC based DOA finding and polarization estimation using USV with polarization sensitive array antenna. Proceedings of the 2006 IEEE Radio and Wireless Symposium, San Diego, CA, USA."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1109\/7.481269","article-title":"Further study of the Pencil-MUSIC algorithm","volume":"32","author":"Cheng","year":"1996","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Wong, K.T., and Zoltowski, M.D. (1997, January 14\u201316). Polarization-beamspace self-initiating MUSIC for azimuth\/elevation angle estimation. Proceedings of the Radar 97 (Conference Publication Number 449), Edinburgh, UK.","DOI":"10.1049\/cp:19971689"},{"key":"ref_25","unstructured":"Li, J., and Compton, R.T. (1991, January 24\u201328). Angle estimation using a polarization sensitive array. Proceedings of the Antennas and Propagation Society Symposium 1991 Digest, London, ON, Canada."},{"key":"ref_26","unstructured":"Chen, F.J., Kwong, S., and Kok, C.W. (2006, January 21\u201324). Two-dimensional angle and polarization estimation using ESPRIT without pairing. Proceedings of the 2006 IEEE International Symposium on Circuits and Systems (ISCAS), Kos, Greece."},{"key":"ref_27","unstructured":"Lin, C.H., Fang, W.H., Yang, W.S., and Line, J.D. (2007, January 9\u201315). SPS-ESPRIT for joint DOA and polarization estimation with a COLD array. Proceedings of the 2007 IEEE Antennas and Propagation Society International Symposium, Honolulu, HI, USA."},{"key":"ref_28","unstructured":"Picheral, J., and Piqueres, F. (2004, January 6\u201310). Joint angle\/Delay\/Polarization Estimation by esprit-like method for multipath channel identification. Proceedings of the 2004 12th European Signal Processing Conference, Vienna, Austria."},{"key":"ref_29","first-page":"1","article-title":"Frequency and 2D Angle Estimation Based on a Sparse Uniform Array of Electromagnetic Vector Sensors","volume":"2006","author":"Sam","year":"2006","journal-title":"Eurasip J. Adv. Signal Process."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/1051-2004(92)90002-G","article-title":"A direction finding algorithm for diversely polarized arrays","volume":"2","author":"Friedlander","year":"2000","journal-title":"Digit. Signal Process."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1109\/LAWP.2004.831083","article-title":"Root-MUSIC-based direction-finding and polarization estimation using diversely polarized possibly collocated antennas","volume":"3","author":"Wong","year":"2004","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_32","unstructured":"Belloni, F., Richter, A., and Koivunen, V. (2006, January 4\u20138). Performance of root-MUSIC algorithm using real-world arrays. Proceedings of the 2006 14th European Signal Processing Conference, Florence, Italy."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2481","DOI":"10.1109\/TAES.2021.3059094","article-title":"A Maximum Likelihood Method for Joint DOA and Polarization Estimation Based on Manifold Separation","volume":"57","author":"Qiu","year":"2021","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Chalise, B.K., Zhang, Y.D., and Himed, B. (2018, January 26\u201329). Compressed Sensing based Joint Doa and Polarization Angle Estimation for Sparse Arrays with Dual-Polarized Antennas. Proceedings of the 2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP), Anaheim, CA, USA.","DOI":"10.1109\/GlobalSIP.2018.8646559"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"764","DOI":"10.23919\/JSEE.2021.000066","article-title":"Polarization quaternion DOA estimation based on vector MISC array","volume":"32","author":"Shao","year":"2021","journal-title":"J. Syst. Eng. Electron."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Wang, J., Du, Y., Chen, L., and Han, D. (2020, January 4\u20136). Fast algorithm of joint polarization and DOA estimation for irregular array under coherent sources. Proceedings of the IET International Radar Conference (IET IRC 2020), Online Conference.","DOI":"10.1049\/icp.2021.0547"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Yue, Y., Zhang, Z., Zhou, C., Xing, F., and Shi, Z. (2022, January 20\u201323). Closed-form Two-dimensional DOA and Polarization Joint Estimation Using Parallel Non-collocated Sparse COLD Arrays. Proceedings of the 2022 IEEE 12th Sensor Array and Multichannel Signal Processing Workshop (SAM), Trondheim, Norway.","DOI":"10.1109\/SAM53842.2022.9827803"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"He, Z., Tian, Z., Zhou, M., Li, Z., and Liu, K. (2022, January 10\u201315). DOA Estimation Method for Polarization Sensitive Circular Array Based on Reduced-Dimensional MUSIC. Proceedings of the 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S\/URSI), Denver, CO, USA.","DOI":"10.1109\/AP-S\/USNC-URSI47032.2022.9886481"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1190","DOI":"10.1109\/29.31267","article-title":"Detection of the number of coherent signals by the MDL principle","volume":"37","author":"Wax","year":"1989","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Zhang, G.P., Zheng, C., and Sun, S.B. (2018). Joint Detection and DOA Tracking with a Bernoulli Filter Based on Information Theoretic Criteria. Sensors, 18.","DOI":"10.3390\/s18103473"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1109\/JPROC.2007.893250","article-title":"An Overview of Existing Methods and Recent Advances in Sequential Monte Carlo","volume":"95","author":"Cappe","year":"2007","journal-title":"Proc. IEEE"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"4473","DOI":"10.1109\/TSP.2011.2158427","article-title":"Bernoulli Forward-Backward Smoothing for Joint Target Detection and Tracking","volume":"59","author":"Vo","year":"2011","journal-title":"IEEE Trans. Signal Process."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/16\/3929\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:28:04Z","timestamp":1760128084000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/16\/3929"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,8]]},"references-count":42,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["rs15163929"],"URL":"https:\/\/doi.org\/10.3390\/rs15163929","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,8]]}}}