{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T16:03:44Z","timestamp":1778256224357,"version":"3.51.4"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T00:00:00Z","timestamp":1695772800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T00:00:00Z","timestamp":1695772800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s00034-023-02508-x","type":"journal-article","created":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T12:02:26Z","timestamp":1695816146000},"page":"1157-1174","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Autoregressive Power Spectrum-Based Covariance Matrix Reconstruction for Robust Adaptive Beamforming"],"prefix":"10.1007","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2995-2000","authenticated-orcid":false,"given":"Huichao","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Linjie","family":"Dong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,27]]},"reference":[{"issue":"8","key":"2508_CR1","doi-asserted-by":"publisher","first-page":"1408","DOI":"10.1109\/PROC.1969.7278","volume":"57","author":"J Capon","year":"1969","unstructured":"J. Capon, High-resolution frequency-wavenumber spectrum analysis. Proc. IEEE 57(8), 1408\u20131418 (1969)","journal-title":"Proc. IEEE"},{"issue":"5","key":"2508_CR2","doi-asserted-by":"publisher","first-page":"1083","DOI":"10.1109\/TASSP.1984.1164421","volume":"32","author":"F Dowla","year":"1984","unstructured":"F. Dowla, J. Lim, Relationship between likelihood method and autoregressive modeling in multidimensional power spectrum estimation. IEEE Trans. Acoust. Speech Signal Process. 32(5), 1083\u20131087 (1984)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"1","key":"2508_CR3","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1109\/TAES.2010.5417174","volume":"46","author":"L Du","year":"2010","unstructured":"L. Du, J. Li, P. Stoica, Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Trans. Aerosp. Electron. Syst. 46(1), 449\u2013458 (2010)","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"issue":"12","key":"2508_CR4","doi-asserted-by":"publisher","first-page":"3647","DOI":"10.1109\/TAP.2006.886473","volume":"54","author":"A Elnashar","year":"2006","unstructured":"A. Elnashar, S.M. Elnoubi, H.A. El-Mikati, Further study on robust adaptive beamforming with optimum diagonal loading. IEEE Trans. Antennas Propag. 54(12), 3647\u20133658 (2006)","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"7","key":"2508_CR5","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.1109\/8.504311","volume":"44","author":"DD Feldman","year":"1996","unstructured":"D.D. Feldman, An analysis of the projection method for robust adaptive beamforming. IEEE Trans. Antennas Propag. 44(7), 1023\u20131030 (1996)","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"4","key":"2508_CR6","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1109\/78.285650","volume":"42","author":"DD Feldman","year":"1994","unstructured":"D.D. Feldman, L.J. Griffiths, A projection approach for robust adaptive beamforming. IEEE Trans. Signal Process. 42(4), 867\u2013876 (1994)","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"2508_CR7","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1109\/LCOMM.2022.3175176","volume":"26","author":"S Ge","year":"2022","unstructured":"S. Ge, C. Fan, J. Wang, X. Huang, Robust adaptive beamforming based on sparse bayesian learning and covariance matrix reconstruction. IEEE Commun. Lett. 26(8), 1893\u20131897 (2022)","journal-title":"IEEE Commun. Lett."},{"key":"2508_CR8","unstructured":"Grant, M., Boyd, S.: CVX: Matlab Software for Disciplined Convex Programming, version 2.2 (2020)"},{"key":"2508_CR9","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/j.sigpro.2013.10.009","volume":"96","author":"Y Gu","year":"2014","unstructured":"Y. Gu, N.A. Goodman, S. Hong, Y. Li, Robust adaptive beamforming based on interference covariance matrix sparse reconstruction. Signal Process. 96, 375\u2013381 (2014)","journal-title":"Signal Process."},{"issue":"7","key":"2508_CR10","doi-asserted-by":"publisher","first-page":"3881","DOI":"10.1109\/TSP.2012.2194289","volume":"60","author":"Y Gu","year":"2012","unstructured":"Y. Gu, A. Leshem, Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Trans. Signal Process. 60(7), 3881\u20133885 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"2508_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/JSEN.2023.3338435","volume":"23","author":"J Guo","year":"2023","unstructured":"J. Guo, H. Yang, Z. Ye, A novel robust adaptive beamforming algorithm based on subspace orthogonality and projection. IEEE Sens. J. 23, 1\u20138 (2023)","journal-title":"IEEE Sens. J."},{"issue":"7","key":"2508_CR12","doi-asserted-by":"publisher","first-page":"1643","DOI":"10.1109\/TSP.2015.2396002","volume":"63","author":"L Huang","year":"2015","unstructured":"L. Huang, J. Zhang, X. Xu, Z. Ye, Robust adaptive beamforming with a novel interference-plus-noise covariance matrix reconstruction method. IEEE Trans. Signal Process. 63(7), 1643\u20131650 (2015)","journal-title":"IEEE Trans. Signal Process."},{"issue":"9","key":"2508_CR13","doi-asserted-by":"publisher","first-page":"2539","DOI":"10.1016\/j.sigpro.2013.03.015","volume":"93","author":"W Jia","year":"2013","unstructured":"W. Jia, W. Jin, S. Zhou, M. Yao, Robust adaptive beamforming based on a new steering vector estimation algorithm. Signal Process. 93(9), 2539\u20132542 (2013)","journal-title":"Signal Process."},{"issue":"6","key":"2508_CR14","doi-asserted-by":"publisher","first-page":"2974","DOI":"10.1109\/TSP.2012.2189389","volume":"60","author":"A Khabbazibasmenj","year":"2012","unstructured":"A. Khabbazibasmenj, S.A. Vorobyov, A. Hassanien, Robust adaptive beamforming based on steering vector estimation with as little as possible prior information. IEEE Trans. Signal Process. 60(6), 2974\u20132987 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"2508_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2022.103565","volume":"127","author":"H Li","year":"2022","unstructured":"H. Li, J. Geng, J. Xie, Robust adaptive beamforming based on covariance matrix reconstruction with rcb principle. Digit. Signal Process. 127, 103565 (2022)","journal-title":"Digit. Signal Process."},{"issue":"7","key":"2508_CR16","doi-asserted-by":"publisher","first-page":"1702","DOI":"10.1109\/TSP.2003.812831","volume":"51","author":"J Li","year":"2003","unstructured":"J. Li, P. Stoica, Z. Wang, On robust capon beamforming and diagonal loading. IEEE Trans. Signal Process. 51(7), 1702\u20131715 (2003)","journal-title":"IEEE Trans. Signal Process."},{"issue":"9","key":"2508_CR17","doi-asserted-by":"publisher","first-page":"4483","DOI":"10.1109\/TSP.2011.2157500","volume":"59","author":"JP Lie","year":"2011","unstructured":"J.P. Lie, W. Ser, C.M.S. See, Adaptive uncertainty based iterative robust capon beamformer using steering vector mismatch estimation. IEEE Trans. Signal Process. 59(9), 4483\u20134488 (2011)","journal-title":"IEEE Trans. Signal Process."},{"key":"2508_CR18","doi-asserted-by":"publisher","unstructured":"T. Luo, P. Chen, Z. Cao, L. Zheng, Z. Wang, URGLQ: an efficient covariance matrix reconstruction method for robust adaptive beamforming. IEEE Trans. Aerosp. Electron Syst. (2023). https:\/\/doi.org\/10.1109\/TAES.2023.3263386","DOI":"10.1109\/TAES.2023.3263386"},{"key":"2508_CR19","doi-asserted-by":"crossref","unstructured":"L. Marple. High resolution autoregressive spectrum analysis using noise power cancellation, in ICASSP\u201978. IEEE International Conference on Acoustics, Speech, and Signal Processing, vol.\u00a03, pp. 345\u2013348 (1978)","DOI":"10.1109\/ICASSP.1978.1170418"},{"key":"2508_CR20","doi-asserted-by":"publisher","first-page":"845","DOI":"10.1109\/LSP.2020.2994527","volume":"27","author":"S Mohammadzadeh","year":"2020","unstructured":"S. Mohammadzadeh, V.H. Nascimento, R.C. de Lamare, O. Kukrer, Maximum entropy-based interference-plus-noise covariance matrix reconstruction for robust adaptive beamforming. IEEE Signal Process. Lett. 27, 845\u2013849 (2020)","journal-title":"IEEE Signal Process. Lett."},{"issue":"9","key":"2508_CR21","doi-asserted-by":"publisher","first-page":"1636","DOI":"10.1109\/LCOMM.2015.2455503","volume":"19","author":"F Shen","year":"2015","unstructured":"F. Shen, F. Chen, J. Song, Robust adaptive beamforming based on steering vector estimation and covariance matrix reconstruction. IEEE Commun. Lett. 19(9), 1636\u20131639 (2015)","journal-title":"IEEE Commun. Lett."},{"key":"2508_CR22","volume-title":"Spectral Analysis of Signals","author":"P Stoica","year":"2005","unstructured":"P. Stoica, R.L. Moses et al., Spectral Analysis of Signals (Pearson Prentice Hall, Upper Saddle River, 2005)"},{"issue":"2","key":"2508_CR23","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1109\/TSP.2002.806865","volume":"51","author":"SA Vorobyov","year":"2003","unstructured":"S.A. Vorobyov, A.B. Gershman, Z.-Q. Luo, Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem. IEEE Trans. Signal Process. 51(2), 313\u2013324 (2003)","journal-title":"IEEE Trans. Signal Process."},{"key":"2508_CR24","doi-asserted-by":"publisher","unstructured":"H. Yang, L. Dong, Robust adaptive beamforming based on steering vector estimation and interference power correction via subspace orthogonality. Circuits Syst. Signal Process. (2023). https:\/\/doi.org\/10.1007\/s00034-023-02444-w","DOI":"10.1007\/s00034-023-02444-w"},{"key":"2508_CR25","doi-asserted-by":"publisher","unstructured":"H. Yang, L. Dong, Robust widely linear beamforming via noncircularity coefficient integration and extended covariance matrix reconstruction. IEEE Sens. J. (2023). https:\/\/doi.org\/10.1109\/JSEN.2023.3307893","DOI":"10.1109\/JSEN.2023.3307893"},{"issue":"10","key":"2508_CR26","doi-asserted-by":"publisher","first-page":"3394","DOI":"10.1109\/LCOMM.2021.3103208","volume":"25","author":"H Yang","year":"2021","unstructured":"H. Yang, P. Wang, Z. Ye, Robust adaptive beamforming via covariance matrix reconstruction and interference power estimation. IEEE Commun. Lett. 25(10), 3394\u20133397 (2021)","journal-title":"IEEE Commun. Lett."},{"key":"2508_CR27","doi-asserted-by":"publisher","first-page":"1759","DOI":"10.1109\/LSP.2021.3105930","volume":"28","author":"H Yang","year":"2021","unstructured":"H. Yang, P. Wang, Z. Ye, Robust adaptive beamforming via covariance matrix reconstruction under colored noise. IEEE Signal Process. Lett. 28, 1759\u20131763 (2021)","journal-title":"IEEE Signal Process. Lett."},{"issue":"3","key":"2508_CR28","doi-asserted-by":"publisher","first-page":"2932","DOI":"10.1109\/JSEN.2022.3228854","volume":"23","author":"H Yang","year":"2023","unstructured":"H. Yang, Z. Ye, Robust adaptive beamforming based on covariance matrix reconstruction via steering vector estimation. IEEE Sens. J. 23(3), 2932\u20132939 (2023)","journal-title":"IEEE Sens. J."},{"key":"2508_CR29","doi-asserted-by":"publisher","first-page":"103977","DOI":"10.1016\/j.dsp.2023.103977","volume":"136","author":"Y Yang","year":"2023","unstructured":"Y. Yang, X. Xu, H. Yang, W. Li, Robust adaptive beamforming via covariance matrix reconstruction with diagonal loading on interference sources covariance matrix. Digit. Signal Process. 136, 103977 (2023)","journal-title":"Digit. Signal Process."},{"key":"2508_CR30","doi-asserted-by":"publisher","first-page":"103356","DOI":"10.1016\/j.dsp.2021.103356","volume":"122","author":"X-J Zhang","year":"2022","unstructured":"X.-J. Zhang, D.-Z. Feng, W.-K. Nie, S.-Y. Lin, H.-S. Hu, Robust adaptive beamforming algorithm based on damped singular value decomposition regularization. Digit. Signal Process. 122, 103356 (2022)","journal-title":"Digit. Signal Process."},{"issue":"1","key":"2508_CR31","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1109\/LSP.2015.2504954","volume":"23","author":"Z Zhang","year":"2016","unstructured":"Z. Zhang, W. Liu, W. Leng, A. Wang, H. Shi, Interference-plus-noise covariance matrix reconstruction via spatial power spectrum sampling for robust adaptive beamforming. IEEE Signal Process. Lett. 23(1), 121\u2013125 (2016)","journal-title":"IEEE Signal Process. Lett."},{"key":"2508_CR32","doi-asserted-by":"crossref","unstructured":"H. Zheng, C. Zhou, Z. Shi, C. Yan, Joint coprime weights optimization for sub-nyquist tensor beamforming, in 2022 IEEE Radar Conference (RadarConf22), pp. 1\u20136 (2022)","DOI":"10.1109\/RadarConf2248738.2022.9764278"},{"issue":"6","key":"2508_CR33","doi-asserted-by":"publisher","first-page":"3139","DOI":"10.1109\/TAES.2019.2899796","volume":"55","author":"Z Zheng","year":"2019","unstructured":"Z. Zheng, T. Yang, W.Q. Wang, H.C. So, Robust adaptive beamforming via simplified interference power estimation. IEEE Trans. Aerosp. Electron. Syst. 55(6), 3139\u20133152 (2019)","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"issue":"2","key":"2508_CR34","doi-asserted-by":"publisher","first-page":"1099","DOI":"10.1109\/TVT.2017.2704610","volume":"67","author":"C Zhou","year":"2018","unstructured":"C. Zhou, Y. Gu, S. He, Z. Shi, A robust and efficient algorithm for coprime array adaptive beamforming. IEEE Trans. Veh. Technol. 67(2), 1099\u20131112 (2018)","journal-title":"IEEE Trans. Veh. Technol."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02508-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-023-02508-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-023-02508-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T08:10:00Z","timestamp":1730189400000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-023-02508-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,27]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["2508"],"URL":"https:\/\/doi.org\/10.1007\/s00034-023-02508-x","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,27]]},"assertion":[{"value":"23 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 September 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflicts of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}