Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation

In this paper, we propose a channel sparsity aware sequential recursive least squares (sparse SEQ-RLS) algorithm for function expansion filters with applications in nonlinear echo cancellation. The algorithm is developed based on a diagonal channel structure from the Volterra filter and updating dom...

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Main Authors: Jean Jiang, Vinith Vijayarajan, Lizhe Tan
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9127432/
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author Jean Jiang
Vinith Vijayarajan
Lizhe Tan
author_facet Jean Jiang
Vinith Vijayarajan
Lizhe Tan
author_sort Jean Jiang
collection DOAJ
description In this paper, we propose a channel sparsity aware sequential recursive least squares (sparse SEQ-RLS) algorithm for function expansion filters with applications in nonlinear echo cancellation. The algorithm is developed based on a diagonal channel structure from the Volterra filter and updating dominant coefficients taking into consideration of sparse elements in the diagonal channel. The third-order Volterra, third-order even mirror Fourier nonlinear (EMFN), and functional link artificial neural network (FLANN) filters are developed according to the sparse SEQ-RLS algorithm. The computation complexity for the upper bound is analyzed to validate the efficiency for each proposed filter. Computer simulation results demonstrate that all proposed function expansion filters with the sparse SEQ-RLS algorithm are effective for nonlinear echo cancellation. In general, the EMFN filter provides better performance compared to the Volterra and FLANN filters.
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spelling doaj.art-60072244e1034355a9c94c9059d0a93e2022-12-21T18:13:46ZengIEEEIEEE Access2169-35362020-01-01811830511831410.1109/ACCESS.2020.30054089127432Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo CancellationJean Jiang0https://orcid.org/0000-0002-6689-2393Vinith Vijayarajan1Lizhe Tan2https://orcid.org/0000-0002-7152-9038College of Technology, Purdue University Northwest, Hammond, IN, USAQualcomm Inc., San Diego, CA, USADepartment of Electrical and Computer Engineering, Purdue University Northwest, Hammond, IN, USAIn this paper, we propose a channel sparsity aware sequential recursive least squares (sparse SEQ-RLS) algorithm for function expansion filters with applications in nonlinear echo cancellation. The algorithm is developed based on a diagonal channel structure from the Volterra filter and updating dominant coefficients taking into consideration of sparse elements in the diagonal channel. The third-order Volterra, third-order even mirror Fourier nonlinear (EMFN), and functional link artificial neural network (FLANN) filters are developed according to the sparse SEQ-RLS algorithm. The computation complexity for the upper bound is analyzed to validate the efficiency for each proposed filter. Computer simulation results demonstrate that all proposed function expansion filters with the sparse SEQ-RLS algorithm are effective for nonlinear echo cancellation. In general, the EMFN filter provides better performance compared to the Volterra and FLANN filters.https://ieeexplore.ieee.org/document/9127432/Nonlinear sparse system modelingnonlinear acoustic echo cancellationsparse sequential RLS algorithmVolterra filtereven mirror Fourier nonlinear filter
spellingShingle Jean Jiang
Vinith Vijayarajan
Lizhe Tan
Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
IEEE Access
Nonlinear sparse system modeling
nonlinear acoustic echo cancellation
sparse sequential RLS algorithm
Volterra filter
even mirror Fourier nonlinear filter
title Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
title_full Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
title_fullStr Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
title_full_unstemmed Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
title_short Channel Sparsity Aware Function Expansion Filters Using the RLS Algorithm for Nonlinear Acoustic Echo Cancellation
title_sort channel sparsity aware function expansion filters using the rls algorithm for nonlinear acoustic echo cancellation
topic Nonlinear sparse system modeling
nonlinear acoustic echo cancellation
sparse sequential RLS algorithm
Volterra filter
even mirror Fourier nonlinear filter
url https://ieeexplore.ieee.org/document/9127432/
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AT vinithvijayarajan channelsparsityawarefunctionexpansionfiltersusingtherlsalgorithmfornonlinearacousticechocancellation
AT lizhetan channelsparsityawarefunctionexpansionfiltersusingtherlsalgorithmfornonlinearacousticechocancellation