Statistical analysis of multichannel FxLMS algorithm for narrowband active noise control

被引：1
|
作者：
Gong, Chen [1 ,2 ]
Wu, Ming [1 ,2 ]
Guo, Jianfeng [3 ,5 ]
Chen, Jing [1 ,2 ]
Zhang, Zeqiang [1 ,2 ]
Cao, Yin [4 ]
Yang, Jun [1 ,2 ,5 ]
机构：
[1] Chinese Acad Sci, Inst Acoust, Key Lab Noise & Vibrat Res, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Elect Elect & Commun Engn, Beijing 100049, Peoples R China
[3] Taiyuan Univ Technol, Coll Data Sci, Taiyuan 030024, Peoples R China
[4] Univ Surrey, Ctr Vis Speech & Signal Proc CVSSP, Guildford GU2 7XH, Surrey, England
[5] Chinese Acad Sci, Inst Acoust, State Key Lab Acoust, Beijing 100190, Peoples R China
来源：
SIGNAL PROCESSING | 2022年 / 200卷
关键词：
Multichannel narrowband active noise; control; Statistical analysis; FxLMS; Transient convergence behavior; Steady-state behavior; AFFINE PROJECTION ALGORITHMS; CONTROL SYSTEM; STOCHASTIC-ANALYSIS; FREQUENCY MISMATCH; LMS ALGORITHM; TRANSIENT;
D O I：
10.1016/j.sigpro.2022.108646
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：
This paper analyzes the statistical performance of a multichannel narrowband active noise control (NANC) system based on the filtered-x least mean square (FxLMS) algorithm. The difference equations for the mean and mean square transient convergence behavior of the multichannel NANC system are derived. Steady-state expressions for weight-errors and mean square errors are then developed in closed forms. Stability boundaries for the multichannel FxLMS algorithm in the mean and mean square sense are also derived. When considering the mean square convergence, the coupling between the cross secondary paths and different frequencies is considered skillfully by matrixing and vectorization operations. Ex-tensive simulations verify the accuracy of the theoretical analysis. Our findings deepen the understanding of the transient and steady-state behaviors of the multichannel NANC system and provide guidance for algorithm design, facilitate its improvement, and assist in parameter selection. (c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Statistical analysis of multichannel FxLMS algorithm for narrowband active noise control
    Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing
    100190, China
    不详
    100049, China
    不详
    030024, China
    不详
    GU2 7XH, United Kingdom
    不详
    100190, China
    [J]. Signal Process,
  • [2] Active Noise Control System for Narrowband Noise Using FxLMS Algorithm
    Priya, E.
    Saravanan, V.
    Santhiyakumari, N.
    [J]. 2015 INTERNATIONAL CONFERENCE ON COMMUNICATIONS AND SIGNAL PROCESSING (ICCSP), 2015, : 374 - 378
  • [3] A distributed FxLMS algorithm for narrowband active noise control and its convergence analysis
    Chen, Jing
    Yang, Jun
    [J]. JOURNAL OF SOUND AND VIBRATION, 2022, 532
  • [4] Statistical analysis of narrowband active noise control using a simplified variable step-size FXLMS algorithm
    Ma, Yaping
    Xiao, Yegui
    Ma, Liying
    Khorasani, Khashayar
    [J]. Signal Processing, 2021, 183
  • [5] Statistical analysis of narrowband active noise control using a simplified variable step-size FXLMS algorithm
    Ma, Yaping
    Xiao, Yegui
    Ma, Liying
    Khorasani, Khashayar
    [J]. SIGNAL PROCESSING, 2021, 183
  • [6] A Variable Step-Size FXLMS Algorithm for Narrowband Active Noise Control
    Huang, Boyan
    Xiao, Yegui
    Sun, Jinwei
    Wei, Guo
    [J]. IEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING, 2013, 21 (02): : 301 - 312
  • [7] Stochastic analysis of the FXLMS-based narrowband active noise control system
    Xiao, Yegui
    Ikuta, Akira
    Ma, Liying
    Khorasani, K.
    [J]. IEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING, 2008, 16 (05): : 1000 - 1014
  • [8] Statistical-mechanical analysis of the FXLMS algorithm for multiple-channel active noise control
    Murata, Tomoki
    Kajikawa, Yoshinobu
    Miyoshi, Seiji
    [J]. 2017 ASIA-PACIFIC SIGNAL AND INFORMATION PROCESSING ASSOCIATION ANNUAL SUMMIT AND CONFERENCE (APSIPA ASC 2017), 2017, : 136 - 139
  • [9] Performance analysis of the unconstrained FxLMS algorithm for active noise control
    Gong, Y
    Song, Y
    Liu, SJ
    [J]. 2003 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL V, PROCEEDINGS: SENSOR ARRAY & MULTICHANNEL SIGNAL PROCESSING AUDIO AND ELECTROACOUSTICS MULTIMEDIA SIGNAL PROCESSING, 2003, : 569 - 572
  • [10] Multichannel Active Control of Nonlinear Noise Processes Using Diagonal structure Bilinear FXLMS Algorithm
    Dong, Chen
    Ding, Yuan
    Tan, Li
    Du, Sidan
    [J]. EIGHTH INTERNATIONAL CONFERENCE ON MACHINE VISION (ICMV 2015), 2015, 9875
12345