{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T18:10:45Z","timestamp":1775067045090,"version":"3.50.1"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2018,5,7]],"date-time":"2018-05-07T00:00:00Z","timestamp":1525651200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s00034-018-0832-6","type":"journal-article","created":{"date-parts":[[2018,5,7]],"date-time":"2018-05-07T13:22:12Z","timestamp":1525699332000},"page":"5576-5594","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Kernel Filtered-x LMS Algorithm for Active Noise Control System with Nonlinear Primary Path"],"prefix":"10.1007","volume":"37","author":[{"given":"Yuqi","family":"Liu","sequence":"first","affiliation":[]},{"given":"Chao","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Shouda","family":"Jiang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,7]]},"reference":[{"issue":"3","key":"832_CR1","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1090\/S0002-9947-1950-0051437-7","volume":"68","author":"N Aronszajn","year":"1950","unstructured":"N. Aronszajn, Theory of reproducing kernels. Trans. Am. Math. Soc. 68(3), 337\u2013404 (1950)","journal-title":"Trans. Am. Math. Soc."},{"issue":"(C)","key":"832_CR2","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1016\/j.sigpro.2014.04.012","volume":"107","author":"M Aslam","year":"2015","unstructured":"M. Aslam, M. Raja, A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach. Signal Process. 107((C)), 433\u2013443 (2015). \n                    https:\/\/doi.org\/10.1016\/j.sigpro.2014.04.012","journal-title":"Signal Process."},{"key":"832_CR3","doi-asserted-by":"crossref","unstructured":"H. Bao, I. Panahi, Active noise control based on kernel least-mean-square algorithm, in 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers, pp. 642\u2013644 (2009)","DOI":"10.1109\/ACSSC.2009.5469919"},{"key":"832_CR4","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.apacoust.2017.03.002","volume":"123","author":"S Behera","year":"2017","unstructured":"S. Behera, D. Das, B. Subudhi, Adaptive nonlinear active noise control algorithm for active headrest with moving error microphones. Appl. Acoust. 123, 9\u201319 (2017). \n                    https:\/\/doi.org\/10.1016\/j.apacoust.2017.03.002","journal-title":"Appl. Acoust."},{"key":"832_CR5","doi-asserted-by":"crossref","unstructured":"J. Chen, W. Gao, C. Richard, J. Bermudez, Convergence analysis of kernel LMS algorithm with pre-tuned dictionary, in 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 7243\u20137247 (2014)","DOI":"10.1109\/ICASSP.2014.6855006"},{"issue":"2","key":"832_CR6","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.procs.2013.09.236","volume":"20","author":"I Constantin","year":"2013","unstructured":"I. Constantin, R. Lengelle, Performance analysis of kernel adaptive filters based on LMS algorithm. Procedia Comput. Sci. 20(2), 39\u201345 (2013). \n                    https:\/\/doi.org\/10.1016\/j.procs.2013.09.236","journal-title":"Procedia Comput. Sci."},{"issue":"3","key":"832_CR7","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1109\/LCOMM.2017.2787676","volume":"22","author":"H Dai","year":"2017","unstructured":"H. Dai, Y. Huang, J. Wang, L. Yang, Resource optimization in heterogeneous cloud radio access networks. IEEE Commun. Lett. 22(3), 494\u2013497 (2017). \n                    https:\/\/doi.org\/10.1109\/LCOMM.2017.2787676","journal-title":"IEEE Commun. Lett."},{"issue":"5","key":"832_CR8","doi-asserted-by":"publisher","first-page":"1875","DOI":"10.1109\/TSA.2005.858543","volume":"14","author":"D Das","year":"2006","unstructured":"D. Das, S. Mohapatra, A. Routray, T. Basu, Filtered-s LMS algorithm for multichannel active control of nonlinear noise processes. IEEE Trans. Audio Speech Lang. Process. 14(5), 1875\u20131880 (2006). \n                    https:\/\/doi.org\/10.1109\/TSA.2005.858543","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"4","key":"832_CR9","doi-asserted-by":"publisher","first-page":"544","DOI":"10.1016\/j.conengprac.2012.11.007","volume":"21","author":"D Das","year":"2013","unstructured":"D. Das, D. Moreau, B. Cazzolato, Nonlinear active noise control for headrest using virtual microphone control. Control Eng. Pract. 21(4), 544\u2013555 (2013). \n                    https:\/\/doi.org\/10.1016\/j.conengprac.2012.11.007","journal-title":"Control Eng. Pract."},{"issue":"3","key":"832_CR10","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1109\/TSA.2003.822741","volume":"12","author":"D Das","year":"2004","unstructured":"D. Das, G. Panda, Active mitigation of nonlinear noise processes using a novel filtered-s LMS algorithm. IEEE Trans. Speech Audio Process. 12(3), 313\u2013322 (2004). \n                    https:\/\/doi.org\/10.1109\/TSA.2003.822741","journal-title":"IEEE Trans. Speech Audio Process."},{"issue":"11","key":"832_CR11","first-page":"2765","volume":"62","author":"W Gao","year":"2013","unstructured":"W. Gao, J. Chen, C. Richard, J. Huang, Online dictionary learning for kernel LMS analysis and forward-backward splitting algorithm. Statistics 62(11), 2765\u20132777 (2013)","journal-title":"Statistics"},{"issue":"8","key":"832_CR12","doi-asserted-by":"publisher","first-page":"836","DOI":"10.1016\/j.apacoust.2012.02.005","volume":"73","author":"N George","year":"2012","unstructured":"N. George, G. Panda, A robust filtered-s LMS algorithm for nonlinear active noise control. Appl. Acoust. 73(8), 836\u2013841 (2012). \n                    https:\/\/doi.org\/10.1016\/j.apacoust.2012.02.005","journal-title":"Appl. Acoust."},{"issue":"9","key":"832_CR13","doi-asserted-by":"publisher","first-page":"1867","DOI":"10.1109\/TASL.2013.2260742","volume":"21","author":"J Gil-Cacho","year":"2013","unstructured":"J. Gil-Cacho, M. Signoretto, T. Waterschoot, M. Moonen, Nonlinear acoustic echo cancellation based on a sliding-window leaky kernel affine projection algorithm. IEEE Trans. Audio Speech Lang. Process. 21(9), 1867\u20131878 (2013). \n                    https:\/\/doi.org\/10.1109\/TASL.2013.2260742","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"2","key":"832_CR14","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1049\/iet-spr.2008.0157","volume":"4","author":"P Kumar","year":"2010","unstructured":"P. Kumar, K. Prabhu, D. Das, Block filtered-s least mean square algorithm for active control of non-linear noise systems. IET Signal Proc. 4(2), 168\u2013180 (2010). \n                    https:\/\/doi.org\/10.1049\/iet-spr.2008.0157","journal-title":"IET Signal Proc."},{"key":"832_CR15","volume-title":"Active Noise Control Systems: Algorithms and DSP Implementations","author":"S Kuo","year":"1995","unstructured":"S. Kuo, D. Morgan, Active Noise Control Systems: Algorithms and DSP Implementations, 1st edn. (Wiley, New York, 1995)","edition":"1"},{"issue":"3","key":"832_CR16","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1109\/TCSI.2004.842429","volume":"52","author":"S Kuo","year":"2005","unstructured":"S. Kuo, H. Wu, Nonlinear adaptive bilinear filters for active noise control systems. IEEE Trans. Circuits Syst. 52(3), 617\u2013624 (2005). \n                    https:\/\/doi.org\/10.1109\/TCSI.2004.842429","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"2","key":"832_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11432-015-5510-8","volume":"59","author":"C Li","year":"2016","unstructured":"C. Li, Y. Li, K. Song, L. Yang, Energy efficient design for multiuser downlink energy and uplink information transfer in 5g. Sci. China Inf. Sci. 59(2), 1\u20138 (2016). \n                    https:\/\/doi.org\/10.1007\/s11432-015-5510-8","journal-title":"Sci. China Inf. Sci."},{"issue":"10","key":"832_CR18","doi-asserted-by":"publisher","first-page":"102315","DOI":"10.1007\/s11432-016-0060-y","volume":"59","author":"C Li","year":"2016","unstructured":"C. Li, K. Song, D. Wang, F. Zheng, L. Yang, Optimal remote radio head selection for cloud radio access networks. Sci. China Inf. Sci. 59(10), 102315 (2016). \n                    https:\/\/doi.org\/10.1007\/s11432-016-0060-y","journal-title":"Sci. China Inf. Sci."},{"issue":"12","key":"832_CR19","doi-asserted-by":"publisher","first-page":"4852","DOI":"10.1109\/TSP.2009.2027409","volume":"57","author":"C Li","year":"2009","unstructured":"C. Li, X. Wang, L. Yang, W. Zhu, A joint source and relay power allocation scheme for a class of mimo relay systems. IEEE Trans. Signal Process. 57(12), 4852\u20134860 (2009). \n                    https:\/\/doi.org\/10.1109\/TSP.2009.2027409","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"832_CR20","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1049\/el:19970477","volume":"33","author":"T Li","year":"1997","unstructured":"T. Li, J. Jiang, Filtered-x second-order Volterra adaptive algorithms. Electron. Lett. 33(8), 671\u2013672 (1997). \n                    https:\/\/doi.org\/10.1049\/el:19970477","journal-title":"Electron. Lett."},{"issue":"8","key":"832_CR21","doi-asserted-by":"publisher","first-page":"1667","DOI":"10.1109\/78.934136","volume":"49","author":"T Li","year":"2001","unstructured":"T. Li, J. Jiang, Adaptive Volterra filters for active control of nonlinear noise processes. IEEE Trans. Signal Process. 49(8), 1667\u20131676 (2001). \n                    https:\/\/doi.org\/10.1109\/78.934136","journal-title":"IEEE Trans. Signal Process."},{"key":"832_CR22","doi-asserted-by":"publisher","DOI":"10.1002\/9780470608593","volume-title":"Kernel Adaptive Filtering: A Comprehensive Introduction","author":"SHW Liu","year":"2010","unstructured":"S.H.W. Liu, J.C. Principe, Kernel Adaptive Filtering: A Comprehensive Introduction (Wiley, Hoboken, 2010)"},{"issue":"2","key":"832_CR23","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1109\/TSP.2007.907881","volume":"56","author":"W Liu","year":"2008","unstructured":"W. Liu, P. Pokharel, J. Principe, The kernel least-mean-square algorithm. IEEE Trans. Signal Process. 56(2), 543\u2013554 (2008). \n                    https:\/\/doi.org\/10.1109\/TSP.2007.907881","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"832_CR24","doi-asserted-by":"publisher","first-page":"1586","DOI":"10.1007\/s00034-016-0379-3","volume":"36","author":"L Lu","year":"2017","unstructured":"L. Lu, H. Zhao, Improved filtered-x least mean kurtosis algorithm for active noise control. Circuits Syst. Signal Process. 36(4), 1586\u20131603 (2017). \n                    https:\/\/doi.org\/10.1007\/s00034-016-0379-3","journal-title":"Circuits Syst. Signal Process."},{"key":"832_CR25","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1016\/j.sigpro.2016.05.014","volume":"128","author":"L Luo","year":"2016","unstructured":"L. Luo, J. Sun, B. Huang, D. Quoc, Efficient combination of feedforward and feedback structures for nonlinear narrowband active noise control. Signal Process. 128, 494\u2013503 (2016). \n                    https:\/\/doi.org\/10.1016\/j.sigpro.2016.05.014","journal-title":"Signal Process."},{"key":"832_CR26","doi-asserted-by":"crossref","unstructured":"Y. Nakajima, M. Yukawa, Nonlinear channel equalization by multi-kernel adaptive filter, in 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), pp. 384\u2013388 (2012)","DOI":"10.1109\/SPAWC.2012.6292933"},{"issue":"5","key":"832_CR27","doi-asserted-by":"publisher","first-page":"2208","DOI":"10.1109\/TSP.2012.2186132","volume":"60","author":"W Parreira","year":"2012","unstructured":"W. Parreira, J. Bermudez, C. Richard, J. Tourneret, Stochastic behavior analysis of the gaussian kernel least-mean-square algorithm. IEEE Trans. Signal Process. 60(5), 2208\u20132222 (2012). \n                    https:\/\/doi.org\/10.1109\/TSP.2012.2186132","journal-title":"IEEE Trans. Signal Process."},{"issue":"9","key":"832_CR28","doi-asserted-by":"publisher","first-page":"1434","DOI":"10.1109\/TCSI.2016.2572091","volume":"63","author":"V Patel","year":"2016","unstructured":"V. Patel, V. Gandhi, S. Heda, N. George, Design of adaptive exponential functional link network-based nonlinear filters. IEEE Trans. Circuits Syst. 63(9), 1434\u20131442 (2016). \n                    https:\/\/doi.org\/10.1109\/TCSI.2016.2572091","journal-title":"IEEE Trans. Circuits Syst."},{"key":"832_CR29","unstructured":"A. Rahimi, B. Recht, Random features for large-scale kernel machines, in International Conference on Neural Information Processing Systems, pp. 1177\u20131184 (2007)"},{"issue":"8","key":"832_CR30","doi-asserted-by":"publisher","first-page":"2412","DOI":"10.1109\/TASL.2011.2136336","volume":"19","author":"G Sicuranza","year":"2011","unstructured":"G. Sicuranza, A. Carini, A generalized FLANN filter for nonlinear active noise control. IEEE Trans. Audio Speech Lang. Process. 19(8), 2412\u20132417 (2011). \n                    https:\/\/doi.org\/10.1109\/TASL.2011.2136336","journal-title":"IEEE Trans. Audio Speech Lang. Process."},{"issue":"5","key":"832_CR31","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1109\/LWC.2017.2719036","volume":"6","author":"W Tan","year":"2017","unstructured":"W. Tan, M. Matthaiou, S. Jin, X. Li, Spectral efficiency of dft-based processing hybrid architectures in massive mimo. IEEE Wirel. Commun. Lett. 6(5), 586\u2013589 (2017). \n                    https:\/\/doi.org\/10.1109\/LWC.2017.2719036","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"832_CR32","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1016\/j.apacoust.2016.09.022","volume":"116","author":"N Thai","year":"2017","unstructured":"N. Thai, X. Wu, J. Na, Y. Guo, N. Tin, P. Le, Adaptive variable step-size neural controller for nonlinear feedback active noise control systems. Appl. Acoust. 116, 337\u2013347 (2017). \n                    https:\/\/doi.org\/10.1016\/j.apacoust.2016.09.022","journal-title":"Appl. Acoust."},{"issue":"1","key":"832_CR33","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1016\/j.ymssp.2012.06.020","volume":"34","author":"S Zhao","year":"2013","unstructured":"S. Zhao, B. Chen, P. Zhu, J. Ncipe, Adaptive RSOV filter using the FELMS algorithm for nonlinear active noise control systems. Mech. Syst. Signal Process. 34(1), 378\u2013392 (2013). \n                    https:\/\/doi.org\/10.1016\/j.ymssp.2012.06.020","journal-title":"Mech. Syst. Signal Process."},{"issue":"(C)","key":"832_CR34","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/j.asoc.2016.01.051","volume":"42","author":"H Zhao","year":"2016","unstructured":"H. Zhao, X. Zeng, Z. He, S. Yu, B. Chen, Improved functional link artificial neural network via convex combination for nonlinear active noise control. Appl. Soft Comput. 42((C)), 351\u2013359 (2016). \n                    https:\/\/doi.org\/10.1016\/j.asoc.2016.01.051","journal-title":"Appl. Soft Comput."},{"issue":"(C)","key":"832_CR35","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/j.asoc.2016.01.051","volume":"42","author":"H Zhao","year":"2016","unstructured":"H. Zhao, X. Zeng, Z. He, S. Yu, B. Chen, Improved functional link artificial neural network via convex combination for nonlinear active noise control. Appl. Soft Comput. 42((C)), 351\u2013359 (2016). \n                    https:\/\/doi.org\/10.1016\/j.asoc.2016.01.051","journal-title":"Appl. Soft Comput."},{"issue":"9","key":"832_CR36","doi-asserted-by":"publisher","first-page":"2759","DOI":"10.1016\/j.sigpro.2013.02.012","volume":"93","author":"S Zhao","year":"2013","unstructured":"S. Zhao, B. Chen, P. Zhu, J. Ncipe, Fixed budget quantized kernel least-mean-square algorithm. Signal Process. 93(9), 2759\u20132770 (2013). \n                    https:\/\/doi.org\/10.1016\/j.sigpro.2013.02.012","journal-title":"Signal Process."},{"issue":"3","key":"832_CR37","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1109\/TCSI.2006.887636","volume":"54","author":"D Zhou","year":"2007","unstructured":"D. Zhou, V. DeBrunner, Efficient adaptive nonlinear filters for nonlinear active noise control. IEEE Trans. Circuits Syst. 54(3), 669\u2013681 (2007). \n                    https:\/\/doi.org\/10.1109\/TCSI.2006.887636","journal-title":"IEEE Trans. Circuits Syst."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-0832-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0832-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0832-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,9]],"date-time":"2019-05-09T13:02:30Z","timestamp":1557406950000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-0832-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,7]]},"references-count":37,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["832"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-0832-6","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,7]]},"assertion":[{"value":"18 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 April 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 May 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}