Statistical analysis of narrowband active noise control using a simplified variable step-size FXLMS algorithm

被引：0
|
作者：
Ma, Yaping [1 ]
Xiao, Yegui [2 ]
Ma, Liying [3 ]
Khorasani, Khashayar [3 ]
机构：
[1] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China
[2] Prefectural Univ Hiroshima, Dept Management & Informat Syst, Hiroshima 7348558, Japan
[3] Concordia Univ, Dept Elect & Comp Engn, Montreal, PQ H3G 1M8, Canada
来源：
SIGNAL PROCESSING | 2021年 / 183卷
基金：
中国国家自然科学基金;
关键词：
Narrowband active noise control (NANC); Variable step-size FXLMS (VSS-FXLMS) algorithm; Convergent behavior; Steady state analysis; Mean-squared error (MSE); ACOUSTIC FEEDBACK CANCELLATION; LMS ALGORITHM; AUXILIARY NOISE;
D O I：
10.1016/j.sigpro.2021.108012
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, an in-depth statistical analysis is conducted for a typical narrowband active noise control (ANC, NANC) system that is based on a simplified variable step-size (VSS) filtered-x least mean square (SVSS-FXLMS) scheme. Difference equations are derived first that describe the NANC system convergent behavior in both mean and mean square senses. Closed-form steady-state expressions are then derived for the mean residual noise power, the mean and mean squared VSSs as well as the mean squared errors (MSE) of the control filter weights. Extensive simulation results are conducted and provided to demonstrate, illustrate, and confirm validity of the developed analytical results. The obtained insights do significantly enhance our understanding of the dynamic and steady-state properties of the NANC system that is based on our proposed SVSS-FXLMS strategy. (C) 2021 Elsevier B.V. All rights reserved.
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页数：14
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