{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:39:43Z","timestamp":1761745183954,"version":"3.37.3"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T00:00:00Z","timestamp":1583539200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T00:00:00Z","timestamp":1583539200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61172061","61201242"],"award-info":[{"award-number":["61172061","61201242"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK2012057"],"award-info":[{"award-number":["BK2012057"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61671472"],"award-info":[{"award-number":["61671472"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20160079","BK20181335"],"award-info":[{"award-number":["BK20160079","BK20181335"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s00034-020-01385-y","type":"journal-article","created":{"date-parts":[[2020,3,7]],"date-time":"2020-03-07T15:02:31Z","timestamp":1583593351000},"page":"4578-4595","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Using Derivatives of Second Generating Function for Underdetermined Blind Identification"],"prefix":"10.1007","volume":"39","author":[{"given":"Qiao","family":"Su","sequence":"first","affiliation":[]},{"given":"Yimin","family":"Wei","sequence":"additional","affiliation":[]},{"given":"Kui","family":"Xu","sequence":"additional","affiliation":[]},{"given":"Changliang","family":"Deng","sequence":"additional","affiliation":[]},{"given":"Hui","family":"Li","sequence":"additional","affiliation":[]},{"given":"Yuehong","family":"Shen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,3,7]]},"reference":[{"key":"1385_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.laa.2004.05.007","volume":"391","author":"L Albera","year":"2004","unstructured":"L. Albera, A. Ferreol, P. Comon et al., Blind identification of overcomplete mixtures of sources (BIOME). Lin. Algebra Appl. 391, 1\u201330 (2004)","journal-title":"Lin. Algebra Appl."},{"issue":"11","key":"1385_CR2","doi-asserted-by":"crossref","first-page":"2353","DOI":"10.1016\/S0165-1684(01)00120-7","volume":"81","author":"P Bofill","year":"2001","unstructured":"P. Bofill, M. Zibulevsky, Underdetermined blind source separation using sparse representations. Signal Process. 81(11), 2353\u20132362 (2001)","journal-title":"Signal Process."},{"issue":"4","key":"1385_CR3","doi-asserted-by":"crossref","first-page":"1594","DOI":"10.1109\/TWC.2005.850359","volume":"4","author":"Y Cai","year":"2005","unstructured":"Y. Cai, D. Liu, Multiuser detection using the Taguchi method for DS-CDMA systems. IEEE Trans. Wirel. Commun. 4(4), 1594\u20131607 (2005)","journal-title":"IEEE Trans. Wirel. Commun."},{"issue":"3","key":"1385_CR4","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/BF02310791","volume":"35","author":"JD Carroll","year":"1970","unstructured":"J.D. Carroll, J.J. Chang, Analysis of individual differences in multidimensional scaling via n-way generalization of Eckart\u2013Young decomposition. Psychometrika 35(3), 283\u2013319 (1970)","journal-title":"Psychometrika"},{"issue":"4","key":"1385_CR5","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.1109\/TSP.2005.843703","volume":"53","author":"P Chevalier","year":"2005","unstructured":"P. Chevalier, L. Albera, A. Ferr\u00e9ol, P. Comon, On the virtual array concept for higher order array processing. IEEE Trans. Signal Process. 53(4), 1254\u20131271 (2005)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR6","volume-title":"Handbook of Blind Source Separation: Independent Component Analysis and Applications","author":"P Comon","year":"2010","unstructured":"P. Comon, C. Jutten et al., Handbook of Blind Source Separation: Independent Component Analysis and Applications (Academic press, New York, 2010)"},{"key":"1385_CR7","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1002\/cem.1236","volume":"23","author":"P Comon","year":"2009","unstructured":"P. Comon, X. Luciani, A.L.F. de Almeida, Tensor decompositions, alternating least squares and other tales. J. Chemom. 23, 393\u2013405 (2009)","journal-title":"J. Chemom."},{"issue":"9","key":"1385_CR8","doi-asserted-by":"crossref","first-page":"2271","DOI":"10.1016\/j.sigpro.2005.10.007","volume":"86","author":"P Comon","year":"2006","unstructured":"P. Comon, M. Rajih, Blind identification of under-determined mixtures based on the characteristic function. Signal Process. 86(9), 2271\u20132281 (2006)","journal-title":"Signal Process."},{"key":"1385_CR9","doi-asserted-by":"crossref","unstructured":"P. Comon, M. Rajih, Blind identification of complex underdetermined mixtures, in Proceedings of ICA Conference (Granada, 2004), pp. 105\u2013112","DOI":"10.1007\/978-3-540-30110-3_14"},{"issue":"11","key":"1385_CR10","doi-asserted-by":"crossref","first-page":"5698","DOI":"10.1109\/TSP.2012.2208956","volume":"60","author":"ALF de Almeida","year":"2012","unstructured":"A.L.F. de Almeida, X. Luciani, A. Stegeman, P. Comon, CONDFAC decomposition approach to blind identification of underdetermined mixtures based on generating function derivatives. IEEE Trans. Signal Process. 60(11), 5698\u20135713 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR11","volume-title":"An Introduction to Probability Theory and Its Applications","author":"W Feller","year":"1973","unstructured":"W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1973)"},{"key":"1385_CR12","unstructured":"R.A. Harshman, Determination and proof of minimum uniqueness conditions for PARAFAC-1. UCLA Working Papers in Phonet. vol. 22, pp. 111\u2013117 (1972)"},{"key":"1385_CR13","unstructured":"R.A. Harshman, Foundations of the Parafac Procedure: Models and Conditions for an Explanatory Multimodal Factor Analysis. UCLA Working Papers in Phonet, vol. 16, pp. 1\u201384 (1970)"},{"issue":"10","key":"1385_CR14","doi-asserted-by":"crossref","first-page":"2356","DOI":"10.1109\/TMI.2018.2848204","volume":"37","author":"MM Hossain","year":"2018","unstructured":"M.M. Hossain, B.E. Levy, D. Thapa, A.L. Oldenburg, C.M. Gallippi, Blind source separation-based motion detector for imaging super-paramagnetic iron oxide (SPIO) particles in magnetomotive ultrasound imaging. IEEE Trans. Med. Imaging 37(10), 2356\u20132366 (2018)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"9","key":"1385_CR15","doi-asserted-by":"crossref","first-page":"2625","DOI":"10.1109\/TSP.2004.832022","volume":"52","author":"T Jiang","year":"2004","unstructured":"T. Jiang, N.D. Sidiropoulos, Kruskal\u2019s permutation lemma and the identification of CANDECOMP\/PARAFAC and bilinear models with constant modulus constraints. IEEE Trans. Signal Process. 52(9), 2625\u20132636 (2004)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR16","volume-title":"Characterization Problems in Mathematical Statistics","author":"AM Kagan","year":"1973","unstructured":"A.M. Kagan, Y.V. Linnika, C.R. Rao, Characterization Problems in Mathematical Statistics (Wiley, New York, 1973)"},{"issue":"2","key":"1385_CR17","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1109\/TSP.2009.2031731","volume":"58","author":"A Karfoul","year":"2010","unstructured":"A. Karfoul, L. Albera, G. Birot, Blind underdetermined mixture identification by joint canonical decomposition of HO cumulants. IEEE Trans. Signal Process. 58(2), 638\u2013649 (2010)","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"1385_CR18","doi-asserted-by":"crossref","first-page":"1789","DOI":"10.1016\/j.sigpro.2011.02.003","volume":"91","author":"A Karfoul","year":"2011","unstructured":"A. Karfoul, L. Albera, D.L. Lathauwer, Iterative methods for the canonical decomposition of multi-way arrays: application to blind underdetermined mixture identification. Signal Process. 91(8), 1789\u20131802 (2011)","journal-title":"Signal Process."},{"issue":"7","key":"1385_CR19","doi-asserted-by":"crossref","first-page":"2604","DOI":"10.1109\/TSP.2009.2017570","volume":"57","author":"S Kim","year":"2009","unstructured":"S. Kim, C.D. Yoo, Underdetermined blind source separation based on subspace representation. IEEE Trans. Signal Process. 57(7), 2604\u20132614 (2009)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR20","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0024-3795(77)90069-6","volume":"18","author":"JB Kruskal","year":"1977","unstructured":"J.B. Kruskal, Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics. Linear Algebra Appl. 18, 95\u2013138 (1977)","journal-title":"Linear Algebra Appl."},{"issue":"2","key":"1385_CR21","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1109\/TASL.2010.2048604","volume":"19","author":"M K\u00fcdhne","year":"2011","unstructured":"M. K\u00fcdhne, R. Togneri, S. Nordholm, A new evidence model for missing data speech recognition with applications in reverberant multisource environments. IEEE Trans. Audio Speech Lang. Process. 19(2), 372\u2013384 (2011)","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"3","key":"1385_CR22","doi-asserted-by":"crossref","first-page":"1096","DOI":"10.1109\/TSP.2007.908929","volume":"56","author":"DL Lathauwer","year":"2008","unstructured":"D.L. Lathauwer, J. Castaing, Blind identification of underdetermined mixtures by simultaneous matrix diagonalization. IEEE Trans. Signal Process. 56(3), 1096\u20131105 (2008)","journal-title":"IEEE Trans. Signal Process."},{"issue":"6","key":"1385_CR23","doi-asserted-by":"crossref","first-page":"2965","DOI":"10.1109\/TSP.2007.893943","volume":"55","author":"DL Lathauwer","year":"2007","unstructured":"D.L. Lathauwer, J. Castaing, J.F. Cardoso, Fourth-order cumulant based blind identification of underdetermined mixtures. IEEE Trans. Signal Process. 55(6), 2965\u20132973 (2007)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR24","doi-asserted-by":"crossref","first-page":"1324","DOI":"10.1137\/S0895479898346995","volume":"21","author":"DL Lathauwer","year":"2000","unstructured":"D.L. Lathauwer, B.D. Moor, J. Vandewalle, On the best rank-1 and rank-($$R_1$$, $$R_2$$,$$\\cdots $$, $$R_N$$) approximation of higher-order tensors. SIAM J. Matrix Anal. Appl. 21, 1324\u20131342 (2000)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"5","key":"1385_CR25","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1109\/LSP.2005.845601","volume":"12","author":"H Lin","year":"2005","unstructured":"H. Lin, T. Thaiupathump, S.A. Kassam, Blind separation of complex I\/Q independent sources with phase recovery. IEEE Signal Process. Lett. 12(5), 419\u2013422 (2005)","journal-title":"IEEE Signal Process. Lett."},{"issue":"2","key":"1385_CR26","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1109\/TSP.2010.2089625","volume":"59","author":"X Luciani","year":"2011","unstructured":"X. Luciani, A.L.F. de Almeida, P. Comon, Blind identification of underdetermined mixtures based on the characteristic function: the complex case. IEEE Trans. Signal Process. 59(2), 540\u2013553 (2011)","journal-title":"IEEE Trans. Signal Process."},{"key":"1385_CR27","unstructured":"M. Rajih, P. Comon, Blind identification of under-determined mixtures based on the characteristic function: Influence of the knowledge of source PDF\u2019s, in Proceedings of 1st IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (Puerto Vallarta, 2005), pp. 133\u2013136"},{"issue":"3","key":"1385_CR28","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1137\/06065577","volume":"30","author":"M Rajih","year":"2008","unstructured":"M. Rajih, P. Comon, R. Harshman, Enhanced line search: a novel method to accelerate PARAFAC. SIAM J. Matrix Anal. Appl. 30(3), 1148\u20131171 (2008)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"1385_CR29","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1002\/1099-128X(200005\/06)14:3<229::AID-CEM587>3.0.CO;2-N","volume":"14","author":"ND Sidiropoulos","year":"2000","unstructured":"N.D. Sidiropoulos, R. Bro, On the uniqueness of multilinear decomposition of N-way arrays. J. Chemom. 14, 229\u2013239 (2000)","journal-title":"J. Chemom."},{"issue":"1","key":"1385_CR30","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s00034-016-0292-9","volume":"36","author":"Q Su","year":"2017","unstructured":"Q. Su, Y. Shen, W. Jian et al., Underdetermined blind identification for uniform linear array by a new time-frequency method. Circuits Syst. Signal Process. 36(1), 99\u2013118 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"10","key":"1385_CR31","doi-asserted-by":"crossref","first-page":"4077","DOI":"10.1007\/s00034-017-0500-2","volume":"36","author":"Q Su","year":"2017","unstructured":"Q. Su, Y. Shen, Y. Wei et al., SSP-based UBI algorithms for uniform linear array. Circuits Syst. Signal Process. 36(10), 4077\u20134096 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"3","key":"1385_CR32","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.1109\/TSP.2010.2096221","volume":"59","author":"P Tichavsk\u00fd","year":"2011","unstructured":"P. Tichavsk\u00fd, Z. Koldovsk\u00fd, Weight adjusted tensor method for blind separation of underdetermined mixtures of nonstationary sources. IEEE Trans. Signal Process. 59(3), 1037\u20131047 (2011)","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"1385_CR33","doi-asserted-by":"crossref","first-page":"4842","DOI":"10.1007\/s00034-018-0787-7","volume":"37","author":"L Yang","year":"2018","unstructured":"L. Yang, H. Zhang, Y. Cai, A low-complexity PARAFAC decomposition for underdetermined blind system identification with complex mixtures. Circuits Syst. Signal Process. 37(11), 4842\u20134860 (2018)","journal-title":"Circuits Syst. Signal Process."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01385-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-020-01385-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01385-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T00:31:37Z","timestamp":1615077097000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-020-01385-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,7]]},"references-count":33,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["1385"],"URL":"https:\/\/doi.org\/10.1007\/s00034-020-01385-y","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2020,3,7]]},"assertion":[{"value":"22 November 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 February 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 February 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 March 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}