Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition
The multilinear system framework allows for the exploitation of the system identification problem from different perspectives in the context of various applications, such as nonlinear acoustic echo cancellation, multi-party audio conferencing, and video conferencing, in which the system could be mod...
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MDPI AG
2022-01-01
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Series: | Electronics |
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Online Access: | https://www.mdpi.com/2079-9292/11/3/409 |
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author | Alexandru-George Rusu Silviu Ciochină Constantin Paleologu Jacob Benesty |
author_facet | Alexandru-George Rusu Silviu Ciochină Constantin Paleologu Jacob Benesty |
author_sort | Alexandru-George Rusu |
collection | DOAJ |
description | The multilinear system framework allows for the exploitation of the system identification problem from different perspectives in the context of various applications, such as nonlinear acoustic echo cancellation, multi-party audio conferencing, and video conferencing, in which the system could be modeled through parallel or cascaded filters. In this paper, we introduce different memoryless and memory structures that are described from a bilinear perspective. Following the memory structures, we develop the multilinear recursive least-squares algorithm by considering the Kronecker product decomposition concept. We have performed a set of simulations in the context of echo cancellation, aiming both long length impulse responses and the reverberation effect. |
first_indexed | 2024-03-10T00:00:57Z |
format | Article |
id | doaj.art-0e66b524c5754d609eac0c62a3e53246 |
institution | Directory Open Access Journal |
issn | 2079-9292 |
language | English |
last_indexed | 2024-03-10T00:00:57Z |
publishDate | 2022-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Electronics |
spelling | doaj.art-0e66b524c5754d609eac0c62a3e532462023-11-23T16:16:28ZengMDPI AGElectronics2079-92922022-01-0111340910.3390/electronics11030409Cascaded RLS Adaptive Filters Based on a Kronecker Product DecompositionAlexandru-George Rusu0Silviu Ciochină1Constantin Paleologu2Jacob Benesty3Department of Telecommunications, University Politehnica of Bucharest, 061071 Bucharest, RomaniaDepartment of Telecommunications, University Politehnica of Bucharest, 061071 Bucharest, RomaniaDepartment of Research and Development, Rohde & Schwarz Topex, 020335 Bucharest, RomaniaINRS-EMT, University of Quebec, Montreal, QC H5A 1K6, CanadaThe multilinear system framework allows for the exploitation of the system identification problem from different perspectives in the context of various applications, such as nonlinear acoustic echo cancellation, multi-party audio conferencing, and video conferencing, in which the system could be modeled through parallel or cascaded filters. In this paper, we introduce different memoryless and memory structures that are described from a bilinear perspective. Following the memory structures, we develop the multilinear recursive least-squares algorithm by considering the Kronecker product decomposition concept. We have performed a set of simulations in the context of echo cancellation, aiming both long length impulse responses and the reverberation effect.https://www.mdpi.com/2079-9292/11/3/409recursive least-squares (RLS) algorithmadaptive filtersKronecker product decompositionsystem identificationecho cancellation |
spellingShingle | Alexandru-George Rusu Silviu Ciochină Constantin Paleologu Jacob Benesty Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition Electronics recursive least-squares (RLS) algorithm adaptive filters Kronecker product decomposition system identification echo cancellation |
title | Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition |
title_full | Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition |
title_fullStr | Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition |
title_full_unstemmed | Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition |
title_short | Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition |
title_sort | cascaded rls adaptive filters based on a kronecker product decomposition |
topic | recursive least-squares (RLS) algorithm adaptive filters Kronecker product decomposition system identification echo cancellation |
url | https://www.mdpi.com/2079-9292/11/3/409 |
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