Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity

In this paper, a general function expansion bilinear (FEB) filter with a 3-D diagonal structure is proposed to deal with the problem of saturation nonlinearity in active noise control (ANC) systems. In an ANC system, the reference microphone and/or loudspeaker may be saturated when the acoustic nois...

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Main Authors: Xinnian Guo, Yang Li, Jean Jiang, Chen Dong, Sidan Du, Lizhe Tan
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8494736/
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spelling doaj-362faac031c54e56ad72a0b0f8c461632021-03-29T21:28:52ZengIEEEIEEE Access2169-35362018-01-016651396515010.1109/ACCESS.2018.28765098494736Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation NonlinearityXinnian Guo0https://orcid.org/0000-0003-1444-9610Yang Li1Jean Jiang2Chen Dong3Sidan Du4Lizhe Tan5School of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaSchool of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaCollege of Technology, Purdue University Northwest, Westville, IN, USASchool of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaSchool of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaDepartment of Electrical and Computer Engineering, Purdue University Northwest, Westville, IN, USAIn this paper, a general function expansion bilinear (FEB) filter with a 3-D diagonal structure is proposed to deal with the problem of saturation nonlinearity in active noise control (ANC) systems. In an ANC system, the reference microphone and/or loudspeaker may be saturated when the acoustic noise and/or the controller output exceeds the dynamic limits of electronic devices. Such saturation nonlinearity degrades the control performance of the linear and some nonlinear control filters equipped with a filtered-x least mean square (FXLMS) algorithm. In order to tackle the problem of signal saturation, we use a new nonlinear saturation ANC (NSANC) model and derive a function expansion diagonal-structure bilinear FXLMS (FEDBFXLMS) algorithm. The performance of the proposed filters equipped with the associated FEDBFXLMS algorithm is validated through the analysis of computational complexity and simulations of various nonlinearities for NSANC systems. Computer simulation results demonstrate that the proposed FEB filter can achieve significant performance improvement in reducing saturation effects in comparison with the diagonal-channel bilinear filter and the recursive second-order Volterra filter based on the FXLMS algorithm, which often outperform the conventional nonlinear Volterra and functional link artificial neural network (FLANN) filters.https://ieeexplore.ieee.org/document/8494736/Active noise control (ANC)bilinear filterfunction expansion bilinear filter3-D diagonal structuresignal saturation
collection DOAJ
language English
format Article
sources DOAJ
author Xinnian Guo
Yang Li
Jean Jiang
Chen Dong
Sidan Du
Lizhe Tan
spellingShingle Xinnian Guo
Yang Li
Jean Jiang
Chen Dong
Sidan Du
Lizhe Tan
Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
IEEE Access
Active noise control (ANC)
bilinear filter
function expansion bilinear filter
3-D diagonal structure
signal saturation
author_facet Xinnian Guo
Yang Li
Jean Jiang
Chen Dong
Sidan Du
Lizhe Tan
author_sort Xinnian Guo
title Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
title_short Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
title_full Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
title_fullStr Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
title_full_unstemmed Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity
title_sort adaptive function expansion 3-d diagonal-structure bilinear filter for active noise control of saturation nonlinearity
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description In this paper, a general function expansion bilinear (FEB) filter with a 3-D diagonal structure is proposed to deal with the problem of saturation nonlinearity in active noise control (ANC) systems. In an ANC system, the reference microphone and/or loudspeaker may be saturated when the acoustic noise and/or the controller output exceeds the dynamic limits of electronic devices. Such saturation nonlinearity degrades the control performance of the linear and some nonlinear control filters equipped with a filtered-x least mean square (FXLMS) algorithm. In order to tackle the problem of signal saturation, we use a new nonlinear saturation ANC (NSANC) model and derive a function expansion diagonal-structure bilinear FXLMS (FEDBFXLMS) algorithm. The performance of the proposed filters equipped with the associated FEDBFXLMS algorithm is validated through the analysis of computational complexity and simulations of various nonlinearities for NSANC systems. Computer simulation results demonstrate that the proposed FEB filter can achieve significant performance improvement in reducing saturation effects in comparison with the diagonal-channel bilinear filter and the recursive second-order Volterra filter based on the FXLMS algorithm, which often outperform the conventional nonlinear Volterra and functional link artificial neural network (FLANN) filters.
topic Active noise control (ANC)
bilinear filter
function expansion bilinear filter
3-D diagonal structure
signal saturation
url https://ieeexplore.ieee.org/document/8494736/
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AT chendong adaptivefunctionexpansion3ddiagonalstructurebilinearfilterforactivenoisecontrolofsaturationnonlinearity
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