{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T05:42:29Z","timestamp":1770270149064,"version":"3.49.0"},"reference-count":42,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T00:00:00Z","timestamp":1615766400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006595","name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","doi-asserted-by":"publisher","award":["PN-III-P1-1.1-PD-2019-0340"],"award-info":[{"award-number":["PN-III-P1-1.1-PD-2019-0340"]}],"id":[{"id":"10.13039\/501100006595","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006595","name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","doi-asserted-by":"publisher","award":["PN-III-P1-1.1-TE-2019-0529"],"award-info":[{"award-number":["PN-III-P1-1.1-TE-2019-0529"]}],"id":[{"id":"10.13039\/501100006595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Tensor-based signal processing methods are usually employed when dealing with multidimensional data and\/or systems with a large parameter space. In this paper, we present a family of tensor-based adaptive filtering algorithms, which are suitable for high-dimension system identification problems. The basic idea is to exploit a decomposition-based approach, such that the global impulse response of the system can be estimated using a combination of shorter adaptive filters. The algorithms are mainly tailored for multiple-input\/single-output system identification problems, where the input data and the channels can be grouped in the form of rank-1 tensors. Nevertheless, the approach could be further extended for single-input\/single-output system identification scenarios, where the impulse responses (of more general forms) can be modeled as higher-rank tensors. As compared to the conventional adaptive filters, which involve a single (usually long) filter for the estimation of the global impulse response, the tensor-based algorithms achieve faster convergence rate and tracking, while also providing better accuracy of the solution. Simulation results support the theoretical findings and indicate the advantages of the tensor-based algorithms over the conventional ones, in terms of the main performance criteria.<\/jats:p>","DOI":"10.3390\/sym13030481","type":"journal-article","created":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T22:16:54Z","timestamp":1615846614000},"page":"481","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Tensor-Based Adaptive Filtering Algorithms"],"prefix":"10.3390","volume":"13","author":[{"given":"Laura-Maria","family":"Dogariu","sequence":"first","affiliation":[{"name":"Department of Telecommunications, University Politehnica of Bucharest, 1\u20133, Iuliu Maniu Blvd., 061071 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristian-Lucian","family":"Stanciu","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, University Politehnica of Bucharest, 1\u20133, Iuliu Maniu Blvd., 061071 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Camelia","family":"Elisei-Iliescu","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, University Politehnica of Bucharest, 1\u20133, Iuliu Maniu Blvd., 061071 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0379-2360","authenticated-orcid":false,"given":"Constantin","family":"Paleologu","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, University Politehnica of Bucharest, 1\u20133, Iuliu Maniu Blvd., 061071 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0036-5865","authenticated-orcid":false,"given":"Jacob","family":"Benesty","sequence":"additional","affiliation":[{"name":"INRS-EMT, University of Quebec, Montreal, QC H5A 1K6, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Silviu","family":"Ciochin\u0103","sequence":"additional","affiliation":[{"name":"Department of Telecommunications, University Politehnica of Bucharest, 1\u20133, Iuliu Maniu Blvd., 061071 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Benesty, J., and Huang, Y. 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