{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:23:41Z","timestamp":1760955821086,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,8,24]],"date-time":"2018-08-24T00:00:00Z","timestamp":1535068800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In the paper, the estimation of joint direction-of-departure (DOD) and direction-of-arrival (DOA) for strictly noncircular targets in multiple-input multiple-output (MIMO) radar with unknown mutual coupling is considered, and a tensor-based angle estimation method is proposed. In the proposed method, making use of the banded symmetric Toeplitz structure of the mutual coupling matrix, the influence of the unknown mutual coupling is removed in the tensor domain. Then, a special enhancement tensor is formulated to capture both the noncircularity and inherent multidimensional structure of strictly noncircular signals. After that, the higher-order singular value decomposition (HOSVD) technology is applied for estimating the tensor-based signal subspace. Finally, the direction-of-departure (DOD) and direction-of-arrival (DOA) estimation is obtained by utilizing the rotational invariance technique. Due to the use of both noncircularity and multidimensional structure of the detected signal, the algorithm in this paper has better angle estimation performance than other subspace-based algorithms. The experiment results verify that the method proposed has better angle estimation performance.<\/jats:p>","DOI":"10.3390\/s18092788","type":"journal-article","created":{"date-parts":[[2018,8,24]],"date-time":"2018-08-24T11:13:45Z","timestamp":1535109225000},"page":"2788","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Tensor-Based Angle Estimation Approach for Strictly Noncircular Sources with Unknown Mutual Coupling in Bistatic MIMO Radar"],"prefix":"10.3390","volume":"18","author":[{"given":"Yuehao","family":"Guo","sequence":"first","affiliation":[{"name":"State Key Laboratory of Marine Resource Utilization in South China Sea and College of Information Science and Technology, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xianpeng","family":"Wang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Marine Resource Utilization in South China Sea and College of Information Science and Technology, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wensi","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Microelectronics, Beijing University of Technology, Beijing 100124, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mengxing","family":"Huang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Marine Resource Utilization in South China Sea and College of Information Science and Technology, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chong","family":"Shen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Marine Resource Utilization in South China Sea and College of Information Science and Technology, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunjie","family":"Cao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Marine Resource Utilization in South China Sea and College of Information Science and Technology, Hainan University, Haikou 570228, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guoan","family":"Bi","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,24]]},"reference":[{"key":"ref_1","unstructured":"Fishler, E., Haimovich, A., Blum, R., Chizhik, D., Cimini, L., and Valenzuela, R. (2004, January 26\u201329). MIMO radar: An idea whose time has come. Proceedings of the IEEE Radar Conference, Philadelphia, PA, USA."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1109\/79.526899","article-title":"Two decades of array signal processing research: The parametric approach","volume":"13","author":"Krim","year":"1996","journal-title":"IEEE Signal Process."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Liao, B. (2018). Fast angle estimation for MIMO radar with nonorthogonal waveforms. IEEE Trans. Aerosp. Electron. Syst.","DOI":"10.1109\/TAES.2018.2847958"},{"key":"ref_4","unstructured":"Fishler, E., Haimovich, A., and Blum, R. (2004, January 7\u201310). Performance of MIMO radar systems: Advantages of angular diversity. Proceedings of the 38th Asilomar Conference on Signals, Systems and Computers (ASILOMAR 2004), Pacific Grove, CA, USA."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1109\/TSP.2005.862813","article-title":"Spatial diversity in radars-Models and detection performance","volume":"54","author":"Fishler","year":"2006","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/MSP.2008.4408448","article-title":"MIMO radar with widely separated antennas","volume":"25","author":"Haimovich","year":"2008","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1109\/MSP.2007.904812","article-title":"MIMO radar with colocated antennas","volume":"24","author":"Li","year":"2007","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1155\/2008\/973932","article-title":"Multitarget identification and localization using bistatic MIMO radar systems","volume":"2008","author":"Yan","year":"2008","journal-title":"EURASIP J. Adv. Signal Process."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Gao, X., Zhang, X., Feng, G., Wang, Z., and Xu, D. (2009, January 28\u201329). On the MUSIC derived approaches of angle estimation for bistatic MIMO radar. Proceedings of the International Conference on Wireless Networks and Information Systems (WINSYS 2009), Shanghai, China.","DOI":"10.1109\/WNIS.2009.25"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1049\/el:20080276","article-title":"Angle estimation using ESPRIT in MIMO radar","volume":"44","author":"Chen","year":"2008","journal-title":"Electron. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1422","DOI":"10.1049\/el:20089089","article-title":"Angle estimation using ESPRIT without pairing in MIMO radar","volume":"44","author":"Chen","year":"2008","journal-title":"Electron. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1049\/el.2011.3657","article-title":"Unitary ESPRIT algorithm for bistatic MIMO radar","volume":"48","author":"Zheng","year":"2012","journal-title":"Electron. Lett."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.dsp.2016.06.005","article-title":"Mutual coupling effect and compensation in non-uniform arrays for direction-of-arrival estimation","volume":"61","author":"Boudaher","year":"2017","journal-title":"Digit. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3039","DOI":"10.1016\/j.sigpro.2012.06.013","article-title":"Joint DOD and DOA estimation of bistatic MIMO radar in the presence of unknown mutual coupling","volume":"92","author":"Zheng","year":"2012","journal-title":"Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1016\/j.sigpro.2011.08.017","article-title":"Direction finding and mutual coupling estimation for bistatic MIMO radar","volume":"92","author":"Liu","year":"2012","journal-title":"Signal Process."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2678","DOI":"10.1109\/TSP.2006.873505","article-title":"MUSIC-like estimation of direction of arrival for noncircular sources","volume":"54","author":"Abeida","year":"2006","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Barbaresco, F., and Chevalier, P. (2008, January 8\u20139). Noncircularity exploitation in signal processing overview and application to radar. Proceedings of the IET Waveform Diversity & Digital Radar Conference 2008. Day 1: Waveform Diversity & Design, London, UK.","DOI":"10.1049\/ic.2008.0743"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.sigpro.2014.05.009","article-title":"DOA estimation for noncircular signals in the presence of mutual coupling","volume":"105","author":"Cao","year":"2014","journal-title":"Signal Process."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1587\/transele.E96.C.124","article-title":"Conjugate unitary ESPRIT algorithm for bistatic MIMO radar","volume":"96","author":"Wang","year":"2013","journal-title":"IEICE Trans. Electron."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1692","DOI":"10.1049\/el.2010.2306","article-title":"Conjugate ESPRIT algorithm for bistatic MIMO radar","volume":"46","author":"Yang","year":"2011","journal-title":"Electron. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1016\/j.sigpro.2012.12.021","article-title":"Multi-SVD based subspace estimation to improve angle estimation accuracy in bistatic MIMO radar","volume":"93","author":"Cheng","year":"2013","journal-title":"Signal Process."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5693","DOI":"10.1109\/TSP.2010.2058802","article-title":"Tensor algebra and multidimensional harmonic retrieval in signal processing for MIMO radar","volume":"58","author":"Nion","year":"2010","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.sigpro.2015.03.020","article-title":"Tensor-based real-valued subspace approach for angle estimation in bistatic MIMO radar with unknown mutual coupling","volume":"116","author":"Wang","year":"2015","journal-title":"Signal Process."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.dsp.2017.02.011","article-title":"Angle and mutual coupling estimation in bistatic MIMO radar based on PARAFAC decomposition","volume":"65","author":"Wen","year":"2017","journal-title":"Digit. Signal Process."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Wang, J., Wang, X., and Xu, D. (2018). Robust angle estimation for MIMO radar with the coexistence of mutual coupling and colored noise. Sensors, 18.","DOI":"10.3390\/s18030832"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.1137\/S0895479896305696","article-title":"A multilinear singular value decomposition","volume":"21","author":"Lathauwer","year":"2000","journal-title":"SIAM J. Matrix Anal."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1137\/07070111X","article-title":"Tensor decomposition sand applications","volume":"51","author":"Kolda","year":"2009","journal-title":"SIAM Rev."},{"key":"ref_28","unstructured":"Golub, G.H., and Van Loan, C.F. (1996). Matrix Computations, Johns Hopkins University Press."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/9\/2788\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:20:53Z","timestamp":1760196053000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/9\/2788"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,24]]},"references-count":28,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["s18092788"],"URL":"https:\/\/doi.org\/10.3390\/s18092788","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2018,8,24]]}}}