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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Main Authors: Alexandru-George Rusu, Silviu Ciochină, Constantin Paleologu, Jacob Benesty
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Electronics
Subjects:
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.
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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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