{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T07:21:47Z","timestamp":1782372107658,"version":"3.54.5"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T00:00:00Z","timestamp":1632441600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T00:00:00Z","timestamp":1632441600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"name":"the National Key Research and Development Program of China","award":["2016XFC1400203"],"award-info":[{"award-number":["2016XFC1400203"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61531015"],"award-info":[{"award-number":["61531015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"The Science, Technology and Innovation Commission of Shenzhen Municipality","award":["JCYJ20180306170932431"],"award-info":[{"award-number":["JCYJ20180306170932431"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s11045-021-00797-6","type":"journal-article","created":{"date-parts":[[2021,9,24]],"date-time":"2021-09-24T11:26:59Z","timestamp":1632482819000},"page":"247-261","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Direction finding based on iterative adaptive approach utilizing weighted $$\\ell _2$$-norm penalty for acoustic vector sensor array"],"prefix":"10.1007","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0568-6975","authenticated-orcid":false,"given":"Weidong","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weijie","family":"Tan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wentao","family":"Shi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qunfei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hui","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,9,24]]},"reference":[{"issue":"2","key":"797_CR1","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1108\/SR-05-2019-0120","volume":"40","author":"Z Shang","year":"2020","unstructured":"Shang, Z., Zhang, W., Zhang, G., Zhang, X., Zhang, L., & Wang, R. (2020). A study on mems vector hydrophone and its orientation algorithm. Sensor Review, 40(2), 191\u2013201.","journal-title":"Sensor Review"},{"key":"797_CR2","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.apacoust.2016.12.014","volume":"119","author":"S Najeem","year":"2017","unstructured":"Najeem, S., Kiran, K., Malarkodi, A., & Latha, G. (2017). Open lake experiment for direction of arrival estimation using acoustic vector sensor array. Applied Acoustics, 119, 94\u2013100.","journal-title":"Applied Acoustics"},{"issue":"3","key":"797_CR3","doi-asserted-by":"publisher","first-page":"1063","DOI":"10.1109\/JOE.2019.2912586","volume":"43","author":"D Sun","year":"2020","unstructured":"Sun, D., Ma, C., Yang, T., Mei, J., & Shi, W. (2020). Improving the performance of a vector sensor line array by deconvolution. IEEE Journal of Oceanic Engineering, 43(3), 1063\u20131077.","journal-title":"IEEE Journal of Oceanic Engineering"},{"key":"797_CR4","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.jsv.2018.08.031","volume":"437","author":"KN Ramamohan","year":"2018","unstructured":"Ramamohan, K. N., Comesa\u00f1a, D. F., & Leus, G. (2018). Uniaxial acoustic vector sensors for direction-of-arrival estimation. Journal of Sound and Vibration, 437, 276\u2013291.","journal-title":"Journal of Sound and Vibration"},{"issue":"4","key":"797_CR5","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1109\/JOE.2013.2291629","volume":"39","author":"Y Wu","year":"2014","unstructured":"Wu, Y., Hu, Z., Luo, H., & Hu, Y. (2014). Source number detectability by an acoustic vector sensor linear array and performance analysis. IEEE Journal of Oceanic Engineering, 39(4), 769\u2013778.","journal-title":"IEEE Journal of Oceanic Engineering"},{"issue":"1","key":"797_CR6","doi-asserted-by":"publisher","first-page":"EL88","DOI":"10.1121\/10.0001627","volume":"148","author":"Y Qi","year":"2020","unstructured":"Qi, Y., Zhou, S., Liang, Y., Du, S., & Liu, C. (2020). Passive broadband source depth estimation in the deep ocean using a single vector sensor. The Journal of the Acoustical Society of America, 148(1), EL88\u2013EL92.","journal-title":"The Journal of the Acoustical Society of America"},{"key":"797_CR7","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1016\/j.apacoust.2018.12.014","volume":"148","author":"S-G Shi","year":"2019","unstructured":"Shi, S.-G., Li, Y., Zhu, Z.-R., & Shi, J. (2019). Real-valued robust doa estimation method for uniform circular acoustic vector sensor arrays based on worst-case performance optimization. Applied Acoustics, 148, 495\u2013502.","journal-title":"Applied Acoustics"},{"issue":"4","key":"797_CR8","doi-asserted-by":"publisher","first-page":"1439","DOI":"10.1109\/JOE.2019.2934211","volume":"45","author":"A Agarwal","year":"2020","unstructured":"Agarwal, A., Agrawal, M., & Kumar, A. (2020). Higher-order-statistics-based direction-of-arrival estimation of multiple wideband sources with single acoustic vector sensor. IEEE Journal of Oceanic Engineering, 45(4), 1439\u20131449.","journal-title":"IEEE Journal of Oceanic Engineering"},{"key":"797_CR9","doi-asserted-by":"publisher","first-page":"6142","DOI":"10.1109\/TSP.2020.3021237","volume":"68","author":"J Zhang","year":"2020","unstructured":"Zhang, J., Xu, X., Chen, Z., Bao, M., Zhang, X.-P., & Yang, J. (2020). High-resolution doa estimation algorithm for a single acoustic vector sensor at low snr. IEEE Transactions on Signal Processing, 68, 6142\u20136158.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"12","key":"797_CR10","doi-asserted-by":"publisher","first-page":"1500","DOI":"10.1049\/iet-rsn.2018.5101","volume":"12","author":"F Fauziya","year":"2018","unstructured":"Fauziya, F., Lall, B., & Agrawal, M. (2018). Impact of vector sensor on underwater acoustic communications system. IET Radar, Sonar & Navigation, 12(12), 1500\u20131508.","journal-title":"IET Radar, Sonar & Navigation"},{"issue":"3","key":"797_CR11","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1109\/LPT.2017.2782820","volume":"30","author":"K Naeem","year":"2017","unstructured":"Naeem, K., Chung, Y., & Kwon, I.-B. (2017). Highly sensitive two-dimensional bending vector sensor using an elliptic two-core pcf. IEEE Photonics Technology Letters, 30(3), 273\u2013276.","journal-title":"IEEE Photonics Technology Letters"},{"issue":"1","key":"797_CR12","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1109\/JOE.2020.2968806","volume":"46","author":"P Stinco","year":"2020","unstructured":"Stinco, P., Tesei, A., Ferri, G., Biagini, S., Micheli, M., Garau, B., LePage, K. D., Troiano, L., Grati, A., & Guerrini, P. (2020). Passive acoustic signal processing at low frequency with a 3-d acoustic vector sensor hosted on a buoyancy glider. IEEE Journal of Oceanic Engineering, 46(1), 283\u2013293.","journal-title":"IEEE Journal of Oceanic Engineering"},{"key":"797_CR13","doi-asserted-by":"crossref","unstructured":"Khan, S., & Wong, K. T. (2020). A six-component vector sensor comprising electrically long dipoles and large loops-to simultaneously estimate incident sources\u2019 directions-of-arrival and polarizations. IEEE Transactions on Antennas and Propagation, 68(8), 6355\u20136363.","DOI":"10.1109\/TAP.2020.2988980"},{"key":"797_CR14","doi-asserted-by":"publisher","first-page":"107248","DOI":"10.1016\/j.apacoust.2020.107248","volume":"164","author":"S Li","year":"2020","unstructured":"Li, S., Yang, S., & Liang, J. (2020). Recognition of ships based on vector sensor and bidirectional long short-term memory networks. Applied Acoustics, 164, 107248.","journal-title":"Applied Acoustics"},{"issue":"9","key":"797_CR15","doi-asserted-by":"publisher","first-page":"2481","DOI":"10.1109\/78.317869","volume":"42","author":"A Nehorai","year":"1994","unstructured":"Nehorai, A., & Paldi, E. (1994). Acoustic vector-sensor array processing. IEEE Transactions on signal processing, 42(9), 2481\u20132491.","journal-title":"IEEE Transactions on signal processing"},{"issue":"9","key":"797_CR16","doi-asserted-by":"publisher","first-page":"2291","DOI":"10.1109\/78.709509","volume":"46","author":"M Hawkes","year":"1998","unstructured":"Hawkes, M., & Nehorai, A. (1998). Acoustic vector-sensor beamforming and capon direction estimation. IEEE transactions on signal processing, 46(9), 2291\u20132304.","journal-title":"IEEE transactions on signal processing"},{"issue":"1","key":"797_CR17","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/s00521-018-3791-8","volume":"32","author":"B Wang","year":"2020","unstructured":"Wang, B., Chen, F., & Ge, H. (2020). Subspace projection semi-real-valued mvdr algorithm based on vector sensors array processing. Neural Computing and Applications, 32(1), 173\u2013181.","journal-title":"Neural Computing and Applications"},{"issue":"3","key":"797_CR18","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1007\/s11045-012-0219-y","volume":"25","author":"Z Xiaofei","year":"2014","unstructured":"Xiaofei, Z., Ming, Z., Han, C., & Jianfeng, L. (2014). Two-dimensional doa estimation for acoustic vector-sensor array using a successive music. Multidimensional Systems and Signal Processing, 25(3), 583\u2013600.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"6","key":"797_CR19","doi-asserted-by":"publisher","first-page":"969","DOI":"10.1049\/iet-rsn.2018.5440","volume":"13","author":"A Liu","year":"2019","unstructured":"Liu, A., Yang, D., Shi, S., Zhu, Z., & Li, Y. (2019). Augmented subspace music method for doa estimation using acoustic vector sensor array. IET Radar, Sonar & Navigation, 13(6), 969\u2013975.","journal-title":"IET Radar, Sonar & Navigation"},{"issue":"8","key":"797_CR20","doi-asserted-by":"publisher","first-page":"3010","DOI":"10.1109\/TSP.2005.850882","volume":"53","author":"D Malioutov","year":"2005","unstructured":"Malioutov, D., Cetin, M., & Willsky, A. S. (2005). A sparse signal reconstruction perspective for source localization with sensor arrays. IEEE Transactions on Signal Processing, 53(8), 3010\u20133022.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"797_CR21","first-page":"969","volume":"39","author":"S Shi","year":"2020","unstructured":"Shi, S., Li, Y., Yang, D., Liu, A., & Zhu, Z. (2020). Doa estimation of coherent signals based on the sparse representation for acoustic vector-sensor arrays. Circuits, Systems, and Signal Processing, 39, 969\u2013982.","journal-title":"Circuits, Systems, and Signal Processing"},{"key":"797_CR22","doi-asserted-by":"publisher","first-page":"102675","DOI":"10.1016\/j.dsp.2020.102675","volume":"99","author":"S Shi","year":"2020","unstructured":"Shi, S., Li, Y., Yang, D., Liu, A., & Shi, J. (2020). Sparse representation based direction-of-arrival estimation using circular acoustic vector sensor arrays. Digital Signal Processing, 99, 102675.","journal-title":"Digital Signal Processing"},{"issue":"1","key":"797_CR23","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1109\/TAES.2010.5417172","volume":"46","author":"T Yardibi","year":"2010","unstructured":"Yardibi, T., Li, J., Stoica, P., Xue, M., & Baggeroer, A. B. (2010). Source localization and sensing: a nonparametric iterative adaptive approach based on weighted least squares. IEEE Transactions on Aerospace and Electronic Systems, 46(1), 425\u2013443.","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"issue":"10","key":"797_CR24","first-page":"6055","volume":"56","author":"Y Zhang","year":"2018","unstructured":"Zhang, Y., Jakobsson, A., Zhang, Y., Huang, Y., & Yang, J. (2018). Wideband sparse reconstruction for scanning radar. IEEE Transactions on Geoscience and Remote Sensing, 56(10), 6055\u20136068.","journal-title":"IEEE Transactions on Geoscience and Remote Sensing"},{"issue":"12","key":"797_CR25","doi-asserted-by":"publisher","first-page":"1829","DOI":"10.1109\/LGRS.2019.2911735","volume":"16","author":"P Huang","year":"2019","unstructured":"Huang, P., Xia, X.-G., Liu, X., Jiang, X., Chen, J., & Liu, Y. (2019). A novel baseline estimation method for multichannel hrsw sar system. IEEE Geoscience and Remote Sensing Letters, 16(12), 1829\u20131833.","journal-title":"IEEE Geoscience and Remote Sensing Letters"},{"key":"797_CR26","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.sigpro.2015.02.025","volume":"114","author":"M Malek-Mohammadi","year":"2015","unstructured":"Malek-Mohammadi, M., Babaie-Zadeh, M., & Skoglund, M. (2015). Performance guarantees for schatten-p quasi-norm minimization in recovery of low-rank matrices. Signal Processing, 114, 225\u2013230.","journal-title":"Signal Processing"},{"issue":"3","key":"797_CR27","doi-asserted-by":"publisher","first-page":"794","DOI":"10.1109\/TSP.2016.2601299","volume":"65","author":"Y Sun","year":"2016","unstructured":"Sun, Y., Babu, P., & Palomar, D. P. (2016). Majorization-minimization algorithms in signal processing, communications, and machine learning. IEEE Transactions on Signal Processing, 65(3), 794\u2013816.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"3","key":"797_CR28","doi-asserted-by":"publisher","first-page":"1088","DOI":"10.1109\/TSP.2010.2096218","volume":"59","author":"X Tan","year":"2010","unstructured":"Tan, X., Roberts, W., Li, J., & Stoica, P. (2010). Sparse learning via iterative minimization with application to mimo radar imaging. IEEE Transactions on Signal Processing, 59(3), 1088\u20131101.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"797_CR29","volume-title":"Matrix computation","author":"A Jennings","year":"1992","unstructured":"Jennings, A., & McKeown, J. J. (1992). Matrix computation. New York: John Wiley & Sons Inc."},{"key":"797_CR30","unstructured":"Petersen, K., & Pedersen, M. (2012). The matrix cookbook. Technical Univ. Denmark, Kongens Lyngby, Denmark, Tech. Rep, vol. 3274, version 20121115."},{"key":"797_CR31","first-page":"1","volume":"2018","author":"A Zhao","year":"2018","unstructured":"Zhao, A., Ma, L., Hui, J., Zeng, C., & Bi, X. (2018). Open-lake experimental investigation of azimuth angle estimation using a single acoustic vector sensor. Journal of Sensors, 2018, 1\u201311.","journal-title":"Journal of Sensors"},{"issue":"3","key":"797_CR32","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1109\/48.946508","volume":"26","author":"M Hawkes","year":"2001","unstructured":"Hawkes, M., & Nehorai, A. (2001). Acoustic vector-sensor correlations in ambient noise. IEEE Journal of Oceanic Engineering, 26(3), 337\u2013347.","journal-title":"IEEE Journal of Oceanic Engineering"},{"key":"797_CR33","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.sigpro.2017.07.004","volume":"142","author":"X Wu","year":"2018","unstructured":"Wu, X., Zhu, W.-P., Yan, J., & Zhang, Z. (2018). Two sparse-based methods for off-grid direction-of-arrival estimation. Signal Processing, 142, 87\u201395.","journal-title":"Signal Processing"},{"issue":"7","key":"797_CR34","doi-asserted-by":"publisher","first-page":"1013","DOI":"10.1109\/TNNLS.2012.2197412","volume":"23","author":"Z Xu","year":"2012","unstructured":"Xu, Z., Chang, X., Xu, F., & Zhang, H. (2012). $${ \\ell _ {1\/2}}$$ regularization: a thresholding representation theory and a fast solver. IEEE Transactions on Neural Networks and Learning Systems, 23(7), 1013\u20131027.","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-021-00797-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11045-021-00797-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-021-00797-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,21]],"date-time":"2022-02-21T22:28:01Z","timestamp":1645482481000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11045-021-00797-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,24]]},"references-count":34,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["797"],"URL":"https:\/\/doi.org\/10.1007\/s11045-021-00797-6","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"value":"0923-6082","type":"print"},{"value":"1573-0824","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,24]]},"assertion":[{"value":"24 January 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 August 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 August 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}