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Volume 11
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10.3390/electronics11030409
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Article

Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition

by
Alexandru-George Rusu
1,2,
Silviu Ciochină
1,
Constantin Paleologu
2,* and
Jacob Benesty
3
1
Department of Telecommunications, University Politehnica of Bucharest, 061071 Bucharest, Romania
2
Department of Research and Development, Rohde & Schwarz Topex, 020335 Bucharest, Romania
3
INRS-EMT, University of Quebec, Montreal, QC H5A 1K6, Canada
*
Author to whom correspondence should be addressed.
Electronics 2022, 11(3), 409; https://doi.org/10.3390/electronics11030409
Submission received: 10 December 2021 / Revised: 13 January 2022 / Accepted: 27 January 2022 / Published: 29 January 2022
(This article belongs to the Special Issue Efficient Algorithms and Architectures for DSP Applications)
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Abstract

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.
Keywords: recursive least-squares (RLS) algorithm; adaptive filters; Kronecker product decomposition; system identification; echo cancellation recursive least-squares (RLS) algorithm; adaptive filters; Kronecker product decomposition; system identification; echo cancellation

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MDPI and ACS Style

Rusu, A.-G.; Ciochină, S.; Paleologu, C.; Benesty, J. Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition. Electronics 2022, 11, 409. https://doi.org/10.3390/electronics11030409

AMA Style

Rusu A-G, Ciochină S, Paleologu C, Benesty J. Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition. Electronics. 2022; 11(3):409. https://doi.org/10.3390/electronics11030409

Chicago/Turabian Style

Rusu, Alexandru-George, Silviu Ciochină, Constantin Paleologu, and Jacob Benesty. 2022. "Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition" Electronics 11, no. 3: 409. https://doi.org/10.3390/electronics11030409

APA Style

Rusu, A.-G., Ciochină, S., Paleologu, C., & Benesty, J. (2022). Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition. Electronics, 11(3), 409. https://doi.org/10.3390/electronics11030409

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