{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:23:15Z","timestamp":1761744195099,"version":"3.37.3"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2015,10,5]],"date-time":"2015-10-05T00:00:00Z","timestamp":1444003200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Open Fund Project of Key Laboratory in Hunan Universities","award":["14K022"],"award-info":[{"award-number":["14K022"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["60572183"],"award-info":[{"award-number":["60572183"]}],"id":[{"id":"10.13039\/501100001809","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":[[2016,8]]},"DOI":"10.1007\/s00034-015-0173-7","type":"journal-article","created":{"date-parts":[[2015,10,5]],"date-time":"2015-10-05T04:13:37Z","timestamp":1444018417000},"page":"2881-2913","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Underdetermined BSS Based on K-means and AP Clustering"],"prefix":"10.1007","volume":"35","author":[{"given":"Xuan-sen","family":"He","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fan","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei-hua","family":"Cai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,10,5]]},"reference":[{"issue":"3","key":"173_CR1","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/MSP.2014.2300211","volume":"31","author":"T Adal\u0131","year":"2014","unstructured":"T. Adal\u0131, C. Jutten, A. Yeredor, A. Cichocki, E. Moreau, Source separation and applications. IEEE Signal Process. Mag. 31(3), 16\u201317 (2014)","journal-title":"IEEE Signal Process. Mag."},{"issue":"6","key":"173_CR2","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H Akaike","year":"1973","unstructured":"H. Akaike, A new look at the statistical model identification. IEEE Trans. Autom. Control 19(6), 716\u2013723 (1973)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"173_CR3","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1109\/TSP.2009.2030854","volume":"58","author":"S Arberet","year":"2010","unstructured":"S. Arberet, R. Gribonval, F. Bimbot, A robust method to count and locate audio sources in a multichannel underdetermined mixture. IEEE Trans. Signal Process. 58(1), 121\u2013133 (2010)","journal-title":"IEEE Trans. Signal Process."},{"key":"173_CR4","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. Sig. Process. 81, 2353\u20132362 (2001)","journal-title":"Sig. Process."},{"key":"173_CR5","doi-asserted-by":"crossref","unstructured":"H. Bozdogan, Mixture-model cluster analysis using model selection criteria and a new information measure of complexity. in Proceedings of the 1st US\/Japan Conference on the Frontiers of Statistical Modeling: An Informational Approach (Dordrecht: Kluwer Academic Publishers, 1994), pp. 69\u2013113","DOI":"10.1007\/978-94-011-0800-3_3"},{"key":"173_CR6","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1006\/jmps.1999.1277","volume":"44","author":"H Bozdogan","year":"2000","unstructured":"H. Bozdogan, Akaike\u2019s information criterion and recent developments in model complexity. J. Math. Psychol. 44, 62\u201391 (2000)","journal-title":"J. Math. Psychol."},{"key":"173_CR7","volume-title":"Handbook of Blind Source Separation: Independent Component Analysis and Applications","author":"P Comon","year":"2010","unstructured":"P. Comon, C. Jutten, Handbook of Blind Source Separation: Independent Component Analysis and Applications (Academic Press, Oxford, 2010)"},{"key":"173_CR8","volume-title":"Discrete-Time Processing of Speech Signals","author":"J Deller","year":"2000","unstructured":"J. Deller, J. Hansen, J. Proakis, Discrete-Time Processing of Speech Signals (IEEE Press, Piscataway, NJ, 2000)"},{"key":"173_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-7011-4","volume-title":"Sparse and Redundant Representations: From Theory to Applications in signal and image processing","author":"M Elad","year":"2010","unstructured":"M. Elad, Sparse and Redundant Representations: From Theory to Applications in signal and image processing (Springer, New York, 2010)"},{"key":"173_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ecolmodel.2007.10.030","volume":"211","author":"J Eric Ward","year":"2008","unstructured":"J. Eric Ward, A review and comparison of four commonly used Bayesian and maximum likelihood model selection tools. Ecol. Model. 211, 1\u201310 (2008)","journal-title":"Ecol. Model."},{"issue":"5","key":"173_CR11","doi-asserted-by":"crossref","first-page":"1549","DOI":"10.1016\/j.dsp.2013.03.012","volume":"23","author":"G Fanglin","year":"2013","unstructured":"G. Fanglin, H. Zhang, D. Zhu, Blind separation of non-stationary sources using continuous density hidden Markov models. Digit. Signal Process. 23(5), 1549\u20131564 (2013)","journal-title":"Digit. Signal Process."},{"key":"173_CR12","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1126\/science.1136800","volume":"315","author":"BJ Frey","year":"2007","unstructured":"B.J. Frey, Clustering by passing messages between data points. Science 315, 972\u2013976 (2007)","journal-title":"Science"},{"issue":"5","key":"173_CR13","doi-asserted-by":"crossref","first-page":"2317","DOI":"10.1007\/s00034-013-9556-9","volume":"32","author":"Y Guo","year":"2013","unstructured":"Y. Guo, S. Huang, Y. Li, G.R. Naik, Edge effect elimination in single-mixture blind source separation. Circuit. Syst. Signal Process. 32(5), 2317\u20132334 (2013)","journal-title":"Circuit. Syst. Signal Process."},{"issue":"2","key":"173_CR14","first-page":"319","volume":"22","author":"X He","year":"2013","unstructured":"X. He, F. Wang, W. Chai, W. Liangmin, Ant colony clustering algorithm for underdetermined BSS. Chin. J. Electron. 22(2), 319\u2013324 (2013)","journal-title":"Chin. J. Electron."},{"key":"173_CR15","unstructured":"http:\/\/en.wikipedia.org\/wiki\/Hann_function"},{"issue":"2","key":"173_CR16","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1109\/34.3885","volume":"10","author":"RA Hummel","year":"1988","unstructured":"R.A. Hummel, M.S. Landy, A statistical viewpoint on the theory of evidence. IEEE Trans. Pattern Anal. Mach. Intell. 10(2), 235\u2013247 (1988)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"173_CR17","first-page":"551","volume":"42","author":"R Kass","year":"1993","unstructured":"R. Kass, Bayes factors in practice. J. R. Stat. Soc. Ser. D (Statistician) 42, 551\u2013560 (1993)","journal-title":"J. R. Stat. Soc. Ser. D (Statistician)"},{"key":"173_CR18","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1080\/01621459.1995.10476572","volume":"90","author":"R Kass","year":"1995","unstructured":"R. Kass, A.E. Raftery, Bayes factors. J. Am. Stat. Assoc. 90, 773\u2013795 (1995)","journal-title":"J. Am. Stat. Assoc."},{"issue":"3","key":"173_CR19","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1587\/comex.2.104","volume":"2","author":"A Kawamura","year":"2013","unstructured":"A. Kawamura, E. Nada, Y. Iiguni, Single channel blind source separation of deterministic sinusoidal signals with independent component analysis. IEICE Commun. Express 2(3), 104\u2013110 (2013)","journal-title":"IEICE Commun. Express"},{"key":"173_CR20","unstructured":"LDS, Application Note AN014 on Understanding FFT Windows, http:\/\/www.physik.uni-wuerzburg.de"},{"issue":"6","key":"173_CR21","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1162\/089976604773717586","volume":"16","author":"Y Li","year":"2004","unstructured":"Y. Li, A. Cichocki, S.-I. Amari, Analysis of sparse representation and blind source separation. Neural Comput. 16(6), 1193\u20131234 (2004)","journal-title":"Neural Comput."},{"issue":"2","key":"173_CR22","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1109\/TSP.2005.861743","volume":"54","author":"Y Li","year":"2006","unstructured":"Y. Li, S.-I. Amari, A. Cichocki, D.W.C. Ho, S. Xie, Underdetermined blind source separation based on sparse representation. IEEE Trans. Signal Process. 54(2), 423\u2013437 (2006)","journal-title":"IEEE Trans. Signal Process."},{"issue":"6","key":"173_CR23","doi-asserted-by":"crossref","first-page":"1490","DOI":"10.1109\/TASL.2010.2092765","volume":"19","author":"A Lombard","year":"2011","unstructured":"A. Lombard, Y. Zheng, H. Buchner, W. Kellermann, TDOA estimation for multiple sound sources in noisy and reverberant environments using broadband independent component analysis. IEEE Trans. Audio Speech Lang. Process. 19(6), 1490\u20131503 (2011)","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"9","key":"173_CR24","doi-asserted-by":"crossref","first-page":"2586","DOI":"10.1109\/TASL.2012.2208627","volume":"20","author":"P Mowlaee","year":"2012","unstructured":"P. Mowlaee, R. Saeidi, M.G. Christensen, Z.-H. Tan, T. Kinnunen, P. Fr\u00e4nti, S. Holdt, A joint approach for single-channel speaker identification and speech separation. IEEE Trans. Audio Speech Lang. Process. 20(9), 2586\u20132601 (2012)","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"key":"173_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2009\/694850","volume":"2009","author":"GR Naik","year":"2009","unstructured":"G.R. Naik, D. Kant Kumar, Determining number of independent sources in undercomplete mixture. EURASIP J. Adv. Signal Process. 2009, 1\u20135 (2009)","journal-title":"EURASIP J. Adv. Signal Process."},{"key":"173_CR26","first-page":"63","volume":"35","author":"GR Naik","year":"2011","unstructured":"G.R. Naik, D. Kant Kumar, An overview of independent component analysis and its applications. Inform. Int. J. Comput. Inform. 35, 63\u201381 (2011)","journal-title":"Inform. Int. J. Comput. Inform."},{"issue":"2","key":"173_CR27","first-page":"989","volume":"7","author":"GR Naik","year":"2011","unstructured":"G.R. Naik, D. Kant Kumar, Dimensional reduction using blind source separation for identifying sources. Int. J. Innov. Comput. Inform. Control 7(2), 989\u20131000 (2011)","journal-title":"Int. J. Innov. Comput. Inform. Control"},{"key":"173_CR28","doi-asserted-by":"crossref","unstructured":"F. Nesta, M. Omologo, Convolutive Underdetermined Source Separation Through Weighted Interleaved ICA and Spatio- Temporal Source Correlation. Latent Variable Analysis and Signal Separation (Springer, Berlin, 2012), pp. 222\u2013230","DOI":"10.1007\/978-3-642-28551-6_28"},{"issue":"3","key":"173_CR29","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1109\/TASLP.2014.2303576","volume":"22","author":"J Nikunen","year":"2014","unstructured":"J. Nikunen, T. Virtanen, Direction of arrival based spatial covariance model for blind sound source separation. IEEE\/ACM Trans. Audio Speech Lang. Process. 22(3), 727\u2013739 (2014)","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process."},{"issue":"2","key":"173_CR30","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1109\/TASLP.2013.2294582","volume":"22","author":"T Otsuka","year":"2014","unstructured":"T. Otsuka, K. Ishiguro, H. Sawada, H.G. Okuno, Bayesian nonparametrics for microphone array processing. IEEE\/ACM Trans. Audio Speech Lang. Process. 22(2), 493\u2013504 (2014)","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process."},{"issue":"6","key":"173_CR31","doi-asserted-by":"crossref","first-page":"1045","DOI":"10.1109\/JPROC.2010.2040551","volume":"98","author":"R Rubinstein","year":"2010","unstructured":"R. Rubinstein, A.M. Bruckstein, M. Elad, Dictionaries for sparse representation modeling. Proc. IEEE 98(6), 1045\u20131057 (2010)","journal-title":"Proc. IEEE"},{"key":"173_CR32","volume-title":"Clustering","author":"X Rui","year":"2009","unstructured":"X. Rui, D.C. Wunsch II, Clustering (IEEE Press and Wiley, New Jersey, 2009)"},{"key":"173_CR33","volume-title":"Vaseghi, Advanced Digital Signal Processing and Noise Reduction","author":"V Saeed","year":"2008","unstructured":"V. Saeed, Vaseghi, Advanced Digital Signal Processing and Noise Reduction, 4th edn. (Wiley, Chichester, 2008)","edition":"4"},{"issue":"3","key":"173_CR34","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/TASL.2010.2051355","volume":"19","author":"H Sawada","year":"2011","unstructured":"H. Sawada, S. Araki, S. Makino, Underdetermined convolutive blind source separation via frequency bin-wise clustering and permutation alignment. IEEE Trans. Audio Speech Lang. Process. 19(3), 516\u2013527 (2011)","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"2","key":"173_CR35","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G Schwarz","year":"1978","unstructured":"G. Schwarz, Estimating the dimension of a model. Ann. Stat. 6(2), 461\u2013464 (1978)","journal-title":"Ann. Stat."},{"key":"173_CR36","unstructured":"P. Smyth, Clustering using Monte Carlo cross-validation. in Proceedings of the 2nd International Conference on Knowledge Discovery and Data Mining (New York, NY: AAAI Press, 1996), pp. 126\u2013133"},{"issue":"2","key":"173_CR37","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1109\/TASLP.2013.2292308","volume":"22","author":"M Souden","year":"2014","unstructured":"M. Souden, K. Kinoshita, M. Delcroix, T. Nakatani, Location feature integration for clustering-based speech separation in distributed microphone arrays. IEEE\/ACM Trans. Audio Speech Lang. Process. 22(2), 354\u2013367 (2014)","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process."},{"issue":"4","key":"173_CR38","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1111\/1467-9868.00353","volume":"64","author":"DJ Spiegelhalter","year":"2002","unstructured":"D.J. Spiegelhalter, N.G. Best, B.P. Carlin, A. van der Linde, Bayesian measures of model complexity and fit. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 64(4), 583\u2013639 (2002)","journal-title":"J. R. Stat. Soc. Ser. B (Stat. Methodol.)"},{"issue":"4","key":"173_CR39","first-page":"863","volume":"30","author":"B Tan","year":"2008","unstructured":"B. Tan, S. Xie, Underdetermined blind separation based on source signals\u2019 number estimation. J. Electron. Inf. Technol. 30(4), 863\u2013867 (2008)","journal-title":"J. Electron. Inf. Technol."},{"key":"173_CR40","doi-asserted-by":"crossref","unstructured":"N. Tengtrairat, Bin Gao, W. L. Woo, S. S. Dlay, Single-channel blind separation using pseudo-stereo mixture and complex 2-D histogram. IEEE Trans. Neural Netw. Learn. Syst. 24(11), 1722-1735 (2013)","DOI":"10.1109\/TNNLS.2013.2258680"},{"issue":"2","key":"173_CR41","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1109\/LSP.2005.861590","volume":"13","author":"FJ Theis","year":"2006","unstructured":"F.J. Theis, C.G. Puntonet, E.W. Lang, Median-based clustering for underdetermined blind signal processing. IEEE Signal Process. Lett. 13(2), 96\u201399 (2006)","journal-title":"IEEE Signal Process. Lett."},{"issue":"4","key":"173_CR42","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1109\/TSA.2005.858005","volume":"14","author":"E Vincent","year":"2006","unstructured":"E. Vincent, R. Gribonval, C. F\u00e9votte, Performance measurement in blind audio source separation. IEEE Trans. Audio Speech Lang. Process. 14(4), 1462\u20131469 (2006)","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"3","key":"173_CR43","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1109\/MSP.2013.2297440","volume":"31","author":"E Vincent","year":"2014","unstructured":"E. Vincent, N. Bertin, R. Gribonval, F. Bimbot, From blind to guided audio source separation. IEEE Signal Process. Mag. 31(3), 107\u2013115 (2014)","journal-title":"IEEE Signal Process. Mag."},{"issue":"1","key":"173_CR44","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/s00521-013-1441-8","volume":"24","author":"J Wen","year":"2014","unstructured":"J. Wen, H. Liu, S. Zhang, M. Xiao, A new fuzzy K-EVD orthogonal complement space clustering method. Neural Comput. Appl. 24(1), 147\u2013154 (2014)","journal-title":"Neural Comput. Appl."},{"issue":"6","key":"173_CR45","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1109\/JPROC.2010.2044470","volume":"98","author":"J Wright","year":"2010","unstructured":"J. Wright, Y. Ma, J. Mairal, G. Sapiro, T.S. Huang, S. Yan, Sparse representation for computer vision and pattern recognition. Proc. IEEE 98(6), 1031\u20131044 (2010)","journal-title":"Proc. IEEE"},{"key":"173_CR46","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1016\/j.neucom.2014.08.026","volume":"149","author":"J-J Yang","year":"2015","unstructured":"J.-J. Yang, H.-L. Liu, Blind identification of the underdetermined mixing matrix based on K-weighted hyperline clustering. Neurocomputing 149, 483\u2013489 (2015)","journal-title":"Neurocomputing"},{"key":"173_CR47","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1109\/MSP.2010.936023","volume":"27","author":"M Zibulevsky","year":"2010","unstructured":"M. Zibulevsky, M. Elad, $$L_{1}-L_{2}$$ L 1 - L 2 optimization in signal and image processing. IEEE Signal Process. Mag. 27, 76\u201388 (2010)","journal-title":"IEEE Signal Process. Mag."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-015-0173-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-015-0173-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-015-0173-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,31]],"date-time":"2019-08-31T02:55:17Z","timestamp":1567220117000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-015-0173-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,5]]},"references-count":47,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2016,8]]}},"alternative-id":["173"],"URL":"https:\/\/doi.org\/10.1007\/s00034-015-0173-7","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2015,10,5]]}}}