Title
Adaptive Function Expansion 3-D Diagonal-Structure Bilinear Filter for Active Noise Control of Saturation Nonlinearity.
Abstract
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 EEDBFXLMS 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.
Year
DOI
Venue
2018
10.1109/ACCESS.2018.2876509
IEEE ACCESS
Keywords
Field
DocType
Active noise control (ANC),bilinear filter,function expansion bilinear filter,3-D diagonal structure,signal saturation
Least mean squares filter,Noise,Control theory,Nonlinear system,Saturation (chemistry),Computer science,Nonlinear control,Control theory,Active noise control,Distributed computing,Bilinear interpolation
Journal
Volume
ISSN
Citations 
6
2169-3536
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Xinnian Guo100.34
Yang Li283.30
Jean Jiang3176.92
Dong Chen441.41
Sidan Du531431.20
Lizhe Tan602.03