{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T14:57:56Z","timestamp":1761663476840},"reference-count":33,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"7","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Commun."],"published-print":{"date-parts":[[2016]]},"DOI":"10.1587\/transcom.2015ebp3322","type":"journal-article","created":{"date-parts":[[2016,6,30]],"date-time":"2016-06-30T23:07:45Z","timestamp":1467328065000},"page":"1532-1540","source":"Crossref","is-referenced-by-count":4,"title":["Shrinkage Widely Linear Recursive Least Square Algorithms for Beamforming"],"prefix":"10.23919","volume":"E99.B","author":[{"given":"Huaming","family":"QIAN","sequence":"first","affiliation":[{"name":"Department of Automation, Harbin Engineering University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ke","family":"LIU","sequence":"additional","affiliation":[{"name":"Department of Automation, Harbin Engineering University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"WANG","sequence":"additional","affiliation":[{"name":"Department of Automation, Harbin Engineering University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"[1] L.C. Godara, \u201cApplication of antenna arrays to mobile communications. II. Beam-forming and direction-of-arrival considerations,\u201d Proc. IEEE, vol.85, no.8, pp.1195-1245, 1997.","DOI":"10.1109\/5.622504"},{"key":"2","unstructured":"[2] A.B. Gershman, \u201cRobust adaptive beamforming in sensor arrays,\u201d AEU International Journal of Electronics and Communications, vol.53, no.6, pp.305-314, 1999."},{"key":"3","doi-asserted-by":"crossref","unstructured":"[3] Z. Yang, R.C. de Lamare, and X. Li, \u201c<i>L<\/i><sub>1<\/sub>-regularized STAP algorithms with a generalized sidelobe canceler architecture for airborne radar,\u201d IEEE Trans. Signal Process., vol.60, no.2, pp.674-686, 2012.","DOI":"10.1109\/TSP.2011.2172435"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] X. Gou, Z. Liu, and Y. Xu. \u201cFully automatic robust adaptive beamforming using the constant modulus feature,\u201d IET Signal Processing, vol.8, no.8, pp.823-830, 2014.","DOI":"10.1049\/iet-spr.2013.0416"},{"key":"5","doi-asserted-by":"crossref","unstructured":"[5] S.A. Vorobyov, \u201cPrinciples of minimum variance robust adaptive beamforming design,\u201d Signal. Process., vol.93, no.12, pp.3264-3277, 2013.","DOI":"10.1016\/j.sigpro.2012.10.021"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] S.A. Vorobyov, A.B. Gershman, and Z.-Q. Luo, \u201cRobust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem,\u201d IEEE Trans. Signal Process., vol.51, no.2, pp.313-324, 2003.","DOI":"10.1109\/TSP.2002.806865"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] Y. Chen, T. Le-Ngoc, B. Champagne, and C. Xu, \u201cRecursive least squares constant modulus algorithm for blind adaptive array,\u201d IEEE Trans. Signal Process., vol.52, no.5, pp.1452-1456, 2004.","DOI":"10.1109\/TSP.2004.826167"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[8] M.Z.A. Bhotto and I.V. Bajic, \u201cConstant modulus blind adaptive beamforming based on unscented kalman filtering,\u201d IEEE Signal Process. Lett., vol.22, no.4, pp.474-478, 2015.","DOI":"10.1109\/LSP.2014.2362932"},{"key":"9","doi-asserted-by":"crossref","unstructured":"[9] X. Jiang, A. Yasotharan, and T. Kirubarajan, \u201cRobust beamforming with sidelobe suppression for impulsive signals,\u201d IEEE Signal Process. Lett., vol.22, no.3, pp.346-350, 2015.","DOI":"10.1109\/LSP.2014.2359802"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] R.K. Miranda, J.P.C.L. da Costa, and F. Antreich, \u201cHigh accuracy and low complexity adaptive Generalized Sidelobe Cancelers for colored noise scenarios,\u201d Digit. Signal Process., vol.34, pp.48-55, 2014.","DOI":"10.1016\/j.dsp.2014.07.015"},{"key":"11","doi-asserted-by":"crossref","unstructured":"[11] J.P.C.L. Da Costa, K. Liu, H.C. So, S. Schwarz, M. Haardt, and F. R\u00f6mer, \u201cMultidimensional prewhitening for enhanced signal reconstruction and parameter estimation in colored noise with Kronecker correlation structure,\u201d Signal Process., vol.93, no.11, pp.3209-3226, 2013.","DOI":"10.1016\/j.sigpro.2013.04.010"},{"key":"12","doi-asserted-by":"crossref","unstructured":"[12] P. Chevalier and A. Blin, \u201cWidely linear MVDR beamformers for the reception of an unknown signal corrupted by noncircular interferences,\u201d IEEE Trans. Signal Process., vol.55, no.11, pp.5323-5336, 2007.","DOI":"10.1109\/TSP.2007.899394"},{"key":"13","doi-asserted-by":"crossref","unstructured":"[13] P. Chevalier, J.-P. Delmas, and A. Oukaci, \u201cOptimal widely linear MVDR beamforming for noncircular signals,\u201d 2009 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3573-3576, 2009.","DOI":"10.1109\/ICASSP.2009.4960398"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[14] Y. Xu, J. Ma, Z. Liu, and W. Liu, \u201cA class of diagonally loaded robust Capon beamformers for noncircular signals of interest,\u201d Signal Process., vol.94, pp.670-680, 2014.","DOI":"10.1016\/j.sigpro.2013.07.013"},{"key":"15","doi-asserted-by":"crossref","unstructured":"[15] D. Xu, L. Huang, X. Xu, and Z. Ye, \u201cWidely linear MVDR beamformers for noncircular signals based on time-averaged second-order noncircularity coefficient estimation,\u201d IEEE Trans. Veh. Technol., vol.62, no.7, pp.3219-3227, 2013.","DOI":"10.1109\/TVT.2013.2257910"},{"key":"16","doi-asserted-by":"crossref","unstructured":"[16] F. Wen, Q. Wan, H. Wei, R. Fan, and Y. Luo, \u201cRobust Capon beamforming exploiting the second-order noncircularity of signals,\u201d Signal Process., vol.102, pp.100-111, 2014.","DOI":"10.1016\/j.sigpro.2014.03.002"},{"key":"17","doi-asserted-by":"crossref","unstructured":"[17] A. Hakkarainen, J. Werner, and M. Valkama, \u201cRF imperfections in antenna arrays: Response analysis and widely-linear digital beamforming,\u201d 2013 IEEE Radio and Wireless Symposium, pp.187-189, 2013.","DOI":"10.1109\/RWS.2013.6486683"},{"key":"18","doi-asserted-by":"crossref","unstructured":"[18] S.C. Douglas, \u201cWidely-linear recursive least-squares algorithm for adaptive beamforming,\u201d 2009 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.2041-2044, 2009.","DOI":"10.1109\/ICASSP.2009.4960015"},{"key":"19","doi-asserted-by":"crossref","unstructured":"[19] Q. JinYou, Z. JianYun, and Z. Xin&apos;an, \u201cA widely-linear LMS algorithm for adaptive beamformer,\u201d 2007 International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, pp.1060-1063, 2007.","DOI":"10.1109\/MAPE.2007.4393451"},{"key":"20","doi-asserted-by":"crossref","unstructured":"[20] P. Chevalier, J.-P. Delmas, and A. Oukaci, \u201cProperties, performance and practical interest of the widely linear MMSE beamformer for nonrectilinear signals,\u201d Signal Process., vol.97, pp.269-281, 2014.","DOI":"10.1016\/j.sigpro.2013.09.017"},{"key":"21","doi-asserted-by":"crossref","unstructured":"[21] Y.-M. Shi, L. Huang, C. Qian, and H.C. So, \u201cShrinkage linear and widely linear complex-valued least mean squares algorithms for adaptive beamforming,\u201d IEEE Trans. Signal Process., vol.63, no.1, pp.119-131, 2015.","DOI":"10.1109\/TSP.2014.2367452"},{"key":"22","doi-asserted-by":"crossref","unstructured":"[22] L. Wang and R.C. de Lamare, \u201cConstrained constant modulus RLS-based blind adaptive beamforming algorithm for smart antennas,\u201d 2007 4th International Symposium on Wireless Communication Systems, pp.657-661, 2007.","DOI":"10.1109\/ISWCS.2007.4392422"},{"key":"23","unstructured":"[23] S. Haykin. Adaptive Filter Theory, 4th ed. Prentice-Hall, Englewood Cliffs, NJ, 2002."},{"key":"24","doi-asserted-by":"crossref","unstructured":"[24] R. De Lamare and R. Sampaio-Neto, \u201cBlind adaptive MIMO receivers for space-time block-coded DS-CDMA systems in multipath channels using the constant modulus criterion,\u201d IEEE Trans. Commun., vol.58, no.1, pp.21-27, 2010.","DOI":"10.1109\/TCOMM.2010.01.070549"},{"key":"25","unstructured":"[25] I. Daubechies, M. Defrise, and C. De Mol. \u201cAn iterative thresholding algorithm for linear inverse problems with a sparsity constraint.\u201d arXiv:math\/0307152, 2003."},{"key":"26","doi-asserted-by":"crossref","unstructured":"[26] M. Zibulevsky and M. Elad, \u201cL1-L2 optimization in signal and image processing,\u201d IEEE Signal Process. Mag., vol.27, no.3, pp.76-88, 2010.","DOI":"10.1109\/MSP.2010.936023"},{"key":"27","doi-asserted-by":"crossref","unstructured":"[27] Z.A. Bhotto and A. Antoniou, \u201cA family of shrinkage adaptive-filtering algorithms,\u201d IEEE Trans. Signal Process., vol.61, no.7, pp.1689-1697, 2013.","DOI":"10.1109\/TSP.2012.2236831"},{"key":"28","unstructured":"[28] M.Z.A. Bhotto and A. Antoniou, \u201cNew improved recursive least-squares adaptive-filtering algorithms,\u201d IEEE Trans. Circuits Syst. I, Reg. Papers, vol.60, no.6, pp.1548-1558, 2013."},{"key":"29","unstructured":"[29] H.L. Van Trees, Detection, Estimation, and Modulation Theory, in Optimum Array Processing, John Wiley &amp; Sons, 2004."},{"key":"30","doi-asserted-by":"crossref","unstructured":"[30] S.D. Somasundaram, \u201cReduced dimension robust Capon beamforming for large aperture passive sonar arrays,\u201d IET Radar, Sonar &amp; Navigation, vol.5, no.7, pp.707-715, 2011.","DOI":"10.1049\/iet-rsn.2010.0351"},{"key":"31","unstructured":"[31] Y. Wang, Q. Ding and R. Li, Adaptive Array Processing, Tsinghua University Press, Beijing, 2009."},{"key":"32","doi-asserted-by":"crossref","unstructured":"[32] J.S. Goldstein, I.S. Reed, and L.L. Scharf, \u201cA multistage representation of the Wiener filter based on orthogonal projections,\u201d IEEE Trans. Inf. Theory, vol.44, no.7, pp.2943-2959, 1998.","DOI":"10.1109\/18.737524"},{"key":"33","doi-asserted-by":"crossref","unstructured":"[33] D.A. Pados and S.N. Batalama, \u201cLow-complexity blind detection of DS\/CDMA signals: Auxiliary-vector receivers,\u201d IEEE Trans. Commun., vol.45, no.12, pp.1586-1594, 1997.","DOI":"10.1109\/26.650237"}],"container-title":["IEICE Transactions on Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transcom\/E99.B\/7\/E99.B_2015EBP3322\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,10]],"date-time":"2024-01-10T14:59:44Z","timestamp":1704898784000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transcom\/E99.B\/7\/E99.B_2015EBP3322\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":33,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2016]]}},"URL":"https:\/\/doi.org\/10.1587\/transcom.2015ebp3322","relation":{},"ISSN":["0916-8516","1745-1345"],"issn-type":[{"value":"0916-8516","type":"print"},{"value":"1745-1345","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}