Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition

Active noise control (ANC) algorithms have been developed within the adaptive algorithm framework. However, multichannel ANC systems, which include numerous reference sensors, control speakers, and error microphones, require a very long control filter converging time for control filter estimation. T...

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Main Authors: Hakjun Lee, Youngjin Park
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:IET Signal Processing
Online Access:http://dx.doi.org/10.1049/sil2/2128989
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author Hakjun Lee
Youngjin Park
author_facet Hakjun Lee
Youngjin Park
author_sort Hakjun Lee
collection DOAJ
description Active noise control (ANC) algorithms have been developed within the adaptive algorithm framework. However, multichannel ANC systems, which include numerous reference sensors, control speakers, and error microphones, require a very long control filter converging time for control filter estimation. Traditional system identification methods, such as the Wiener filter method, are better suited for such systems because of their relatively shorter converging time. However, they require large amounts of data to achieve accurate statistical estimation. Therefore, this article proposes a control filter estimation method that requires only a short length of data. An iterative Wiener filter solution using Kronecker product decomposition for multichannel ANC systems converts the filter estimation process by breaking down the extensive control filter into multiple shorter control filters through Kronecker product decomposition. This decomposition effectively reduces the high-dimensional system identification problem into manageable low-dimensional ones. Numerical simulations demonstrate the superiority of the proposed method over conventional Wiener filter techniques, especially in scenarios when limited data are available for control filter estimation.
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spelling doaj-art-b2d39cc0ac6c4ff8a2d1207a5ef0b6c82025-08-20T03:12:39ZengWileyIET Signal Processing1751-96832025-01-01202510.1049/sil2/2128989Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product DecompositionHakjun Lee0Youngjin Park1Department of Mechanical EngineeringDepartment of Mechanical EngineeringActive noise control (ANC) algorithms have been developed within the adaptive algorithm framework. However, multichannel ANC systems, which include numerous reference sensors, control speakers, and error microphones, require a very long control filter converging time for control filter estimation. Traditional system identification methods, such as the Wiener filter method, are better suited for such systems because of their relatively shorter converging time. However, they require large amounts of data to achieve accurate statistical estimation. Therefore, this article proposes a control filter estimation method that requires only a short length of data. An iterative Wiener filter solution using Kronecker product decomposition for multichannel ANC systems converts the filter estimation process by breaking down the extensive control filter into multiple shorter control filters through Kronecker product decomposition. This decomposition effectively reduces the high-dimensional system identification problem into manageable low-dimensional ones. Numerical simulations demonstrate the superiority of the proposed method over conventional Wiener filter techniques, especially in scenarios when limited data are available for control filter estimation.http://dx.doi.org/10.1049/sil2/2128989
spellingShingle Hakjun Lee
Youngjin Park
Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
IET Signal Processing
title Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
title_full Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
title_fullStr Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
title_full_unstemmed Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
title_short Control Filter Estimation for Multichannel Active Noise Control Using Kronecker Product Decomposition
title_sort control filter estimation for multichannel active noise control using kronecker product decomposition
url http://dx.doi.org/10.1049/sil2/2128989
work_keys_str_mv AT hakjunlee controlfilterestimationformultichannelactivenoisecontrolusingkroneckerproductdecomposition
AT youngjinpark controlfilterestimationformultichannelactivenoisecontrolusingkroneckerproductdecomposition