{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T21:00:57Z","timestamp":1740171657211,"version":"3.37.3"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T00:00:00Z","timestamp":1697846400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T00:00:00Z","timestamp":1697846400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National nature Science Foundation of China","doi-asserted-by":"crossref","award":["61571250"],"award-info":[{"award-number":["61571250"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"International Cooperation Project of the Ministry of Science and Technology","award":["2018YFE0206500"],"award-info":[{"award-number":["2018YFE0206500"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["EURASIP J. Adv. Signal Process."],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Impulse noise (IN) widely exists in many communication systems, which seriously affects the performance of OFDM communication systems. A joint channel and IN estimation method based on all subcarriers is designed. This method uses a sparse Bayesian learning (SBL) algorithm incorporating forward\u2013backward Kalman filter (FB-Kalman) to tackle the problem of joint channel and IN estimation and data detection for OFDM systems. Firstly, the channel impulse response and IN are regarded as unknown sparse vectors, and a SBL framework using all subcarriers is proposed to estimate the unknown vector. The SBL theory is used based on the prior distribution of variables, and then the forward\u2013backward joint system is established, which applies the data detection simultaneously. We also propose the FB-Kalman implementation algorithm by using the expectation maximization updates. Explicit expressions of mean and covariance matrix of the posterior distribution are derived in the E-step. Simulation results show that the proposed algorithm improves the normalized mean square error and bit error rate performance of OFDM system in the presence of IN communication environment.<\/jats:p>","DOI":"10.1186\/s13634-023-01064-5","type":"journal-article","created":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T13:02:20Z","timestamp":1697893340000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Joint channel and impulse noise estimation based on compressed sensing and Kalman filter for OFDM system"],"prefix":"10.1186","volume":"2023","author":[{"given":"Yiting","family":"Zhao","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9497-6762","authenticated-orcid":false,"given":"Youming","family":"Li","sequence":"additional","affiliation":[]},{"given":"Shoudong","family":"Shi","sequence":"additional","affiliation":[]},{"given":"Jianding","family":"Yu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,21]]},"reference":[{"key":"1064_CR1","doi-asserted-by":"publisher","first-page":"10478","DOI":"10.1109\/ACCESS.2017.2712359","volume":"5","author":"T Bai","year":"2017","unstructured":"T. Bai et al., Discrete multi-tone digital subscriber loop performance in the face of impulsive noise. IEEE Access. 5, 10478\u201310495 (2017). https:\/\/doi.org\/10.1109\/ACCESS.2017.2712359","journal-title":"IEEE Access."},{"key":"1064_CR2","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1109\/ACCESS.2015.2505676","volume":"4","author":"H Zhang","year":"2016","unstructured":"H. Zhang, L. Yang, L. Hanzo, Compressed impairment sensing-assisted and interleaved-double-FFT-aided modulation improves broadband power line communications subjected to asynchronous impulsive noise. IEEE Access. 4, 81\u201396 (2016)","journal-title":"IEEE Access."},{"key":"1064_CR3","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1109\/49.233212","volume":"11","author":"KL Blackard","year":"1993","unstructured":"K.L. Blackard, T.S. Rappaport, C.W. Bostian, Measurements and models of radio frequency impulsive noise for indoor wireless communications. IEEE J. Sel. Areas Commun. 11, 991\u20131001 (1993)","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"1064_CR4","doi-asserted-by":"publisher","first-page":"8190","DOI":"10.1109\/TVT.2016.2516539","volume":"65","author":"X Kuai","year":"2016","unstructured":"X. Kuai, H. Sun, S. Zhou, E. Cheng, Impulsive noise mitigation in underwater acoustic OFDM systems. IEEE Trans. Veh. Technol. 65, 8190\u20138202 (2016)","journal-title":"IEEE Trans. Veh. Technol."},{"issue":"4","key":"1064_CR5","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1109\/18.761256","volume":"45","author":"D Middleton","year":"1999","unstructured":"D. Middleton, Non-Gaussian noise models in signal processing for telecommunications: new methods an results for class A and class B noise models. IEEE Trans. Inf. Theory 45(4), 1129\u20131149 (1999). https:\/\/doi.org\/10.1109\/18.761256","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"1064_CR6","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1109\/26.486604","volume":"44","author":"M Ghosh","year":"1996","unstructured":"M. Ghosh, Analysis of the effect of impulse noise on multicarrier and single carrier QAM systems. IEEE Trans. Commun. 44(2), 145\u2013147 (1996). https:\/\/doi.org\/10.1109\/26.486604","journal-title":"IEEE Trans. Commun."},{"key":"1064_CR7","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1109\/LCSYS.2022.3202827","volume":"7","author":"SP Talebi","year":"2023","unstructured":"S.P. Talebi, S.J. Godsill, D.P. Mandic, Filtering structures for \u03b1-stable systems. IEEE Control Syst. Lett. 7, 553\u2013558 (2023). https:\/\/doi.org\/10.1109\/LCSYS.2022.3202827","journal-title":"IEEE Control Syst. Lett."},{"key":"1064_CR8","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1109\/26.486604","volume":"44","author":"M Ghosh","year":"1996","unstructured":"M. Ghosh, Analysis of the effect of impulse noise on multicarrier and single carrier QAM systems. IEEE Trans. Commun. 44, 145\u2013147 (1996)","journal-title":"IEEE Trans. Commun."},{"key":"1064_CR9","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1049\/iet-com.2017.0374","volume":"12","author":"K Yan","year":"2018","unstructured":"K. Yan, H. Zhang, H.C. Wu, Robust multipath channel estimation in the presence of impulsive noise. IET Commun. 12, 228\u2013235 (2018)","journal-title":"IET Commun."},{"key":"1064_CR10","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1109\/TCOMM.2012.022712.100493","volume":"60","author":"S Dimitrov","year":"2012","unstructured":"S. Dimitrov, S. Sinanovic, H. Haas, Clipping noise in OFDM-based optical wireless communication systems. IEEE Trans. Commun. 60, 1072\u20131081 (2012)","journal-title":"IEEE Trans. Commun."},{"key":"1064_CR11","doi-asserted-by":"publisher","first-page":"838","DOI":"10.1121\/1.4733553","volume":"132","author":"Mandar Chitre","year":"2012","unstructured":"Mandar Chitre, S. Kuselan, V. Pallayil, Ambient noise imaging in warm shallow waters; robust statistical algorithms and range estimation. J. Acoust. Soc. Am. 132, 838\u2013847 (2012)","journal-title":"J. Acoust. Soc. Am."},{"key":"1064_CR12","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","volume":"52","author":"DL Donoho","year":"2006","unstructured":"D.L. Donoho, Compressed sensing. IEEE Trans. Inf. Theory 52, 1289\u20131306 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"1064_CR13","doi-asserted-by":"publisher","first-page":"1172","DOI":"10.1109\/JSAC.2013.130702","volume":"31","author":"J Lin","year":"2013","unstructured":"J. Lin, M. Nassar, B.L. Evans, Impulsive noise mitigation in powerline communications using sparse Bayesian learning. IEEE J. Sel. Areas Commun. 31, 1172\u20131183 (2013)","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"1064_CR14","doi-asserted-by":"crossref","unstructured":"P. Chen, Y. Rong, S. Nordholm, A.J. Duncan, Z. He, Compressed sensing based channel estimation and impulsive noise cancelation in underwater acoustic OFDM systems, in 2016 IEEE Region 10 Conference (TENCON) (2016), p. 2539\u20132542","DOI":"10.1109\/TENCON.2016.7848493"},{"key":"1064_CR15","unstructured":"T. Suzuki, H.M. Tran, T. Wada, An underwater acoustic OFDM communication system with shrimp (impulsive) noise cancelling, in 2014 International Conference on Computing, Management and Telecommunications (ComManTel) (2014), p.152\u2013156"},{"key":"1064_CR16","doi-asserted-by":"publisher","first-page":"1576","DOI":"10.1109\/TSP.2013.2295063","volume":"62","author":"M Nassar","year":"2014","unstructured":"M. Nassar, P. Schniter, B.L. Evans, A factor graph approach to joint OFDM channel estimation and decoding in impulsive noise environments. IEEE Trans. Signal Process. 62, 1576\u20131589 (2014)","journal-title":"IEEE Trans. Signal Process."},{"key":"1064_CR17","doi-asserted-by":"publisher","unstructured":"S. Wu, S. Wang, Z. He, K. Niu, Y. Rong, An Approximate Message Passing Algorithm for Channel and Impulsive Noise Estimation in Underwater Acoustic OFDM Systems. OCEANS 2019 - Marseille. 1\u20135 (2019). https:\/\/doi.org\/10.1109\/OCEANSE","DOI":"10.1109\/OCEANSE"},{"key":"1064_CR18","doi-asserted-by":"publisher","first-page":"2828","DOI":"10.1109\/TVT.2020.2965005","volume":"69","author":"X Lv","year":"2020","unstructured":"X. Lv, Y. Li, Y. Wu, H. Liang, Kalman filter based recursive estimation of slowly fading sparse channel in impulsive noise environment for OFDM systems. IEEE Trans. Veh. Technol. 69, 2828\u20132835 (2020)","journal-title":"IEEE Trans. Veh. Technol."},{"key":"1064_CR19","doi-asserted-by":"publisher","first-page":"2601","DOI":"10.1109\/TWC.2020.2966622","volume":"19","author":"S Wang","year":"2020","unstructured":"S. Wang, Z. He, K. Niu, P. Chen, Y. Rong, New results on joint channel and impulsive noise estimation and tracking in underwater acoustic OFDM systems. IEEE Trans. Wireless Commun. 19, 2601\u20132612 (2020)","journal-title":"IEEE Trans. Wireless Commun."},{"key":"1064_CR20","doi-asserted-by":"publisher","first-page":"91101","DOI":"10.1016\/j.phycom.2011.09.004","volume":"5","author":"P Schniter","year":"2012","unstructured":"P. Schniter, Belief-propagation-based joint channel estimation and decoding for spectrally efficient communication over unknown sparse channels. Phys. Commun. 5, 91101 (2012)","journal-title":"Phys. Commun."},{"key":"1064_CR21","unstructured":"N. Okafor, M. Deyoung, UT Austin interference modeling and mitigation toolbox. http:\/\/users.ece.utexas.edu\/bevans\/projects\/rfi\/software\/. Accessed 15 October 2008"}],"container-title":["EURASIP Journal on Advances in Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s13634-023-01064-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1186\/s13634-023-01064-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s13634-023-01064-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T07:01:55Z","timestamp":1700550115000},"score":1,"resource":{"primary":{"URL":"https:\/\/asp-eurasipjournals.springeropen.com\/articles\/10.1186\/s13634-023-01064-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,21]]},"references-count":21,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["1064"],"URL":"https:\/\/doi.org\/10.1186\/s13634-023-01064-5","relation":{},"ISSN":["1687-6180"],"issn-type":[{"type":"electronic","value":"1687-6180"}],"subject":[],"published":{"date-parts":[[2023,10,21]]},"assertion":[{"value":"27 March 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 October 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 October 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval and consent to participate"}},{"value":"Not applicable.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}},{"value":"The authors declare that they have no conflict of interest.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"105"}}