A new variable step size LMS algorithm-based method for improved online secondary path modeling in active noise control systems

Muhammad Tahir Akhtar, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticle

152 Citations (Scopus)

Abstract

This paper proposes a new method for online secondary path modeling in active noise control systems. The existing methods for active noise control systems with online secondary path modeling consist of three adaptive filters. The main feature of the proposed method is that it uses only two adaptive filters. In the proposed method, the modified-FxLMS (MFxLMS) algorithm is used in adapting the noise control filter and a new variable step size (VSS) least mean square (LMS) algorithm is proposed for adaptation of the secondary path modeling filter. This VSS LMS algorithm is different from the normalized-LMS (NLMS) algorithm, where the step size is varied in accordance with the power of the reference signal. Here, on the other hand, the step size is varied in accordance with the power of the disturbance signal in the desired response of the modeling filter. The basic idea of the proposed VSS algorithm stems from the fact that the disturbance signal in the desired response of the modeling filter is decreasing in nature, (ideally) converging to zero. Hence, a small step size is used initially and later its value is increased accordingly. The disturbance signal, however, is not available directly, and we propose an indirect method to track its variations. Computer simulations show that the proposed method gives better performance than the existing methods. This improved performance is achieved at the cost of a slightly increased computational complexity.

Original languageEnglish
Pages (from-to)720-726
Number of pages7
JournalIEEE Transactions on Audio, Speech and Language Processing
Volume14
Issue number2
DOIs
Publication statusPublished - Dec 1 2006
Externally publishedYes

Fingerprint

Active noise control
Control systems
filters
Adaptive filters
adaptive filters
disturbances
Acoustic variables control
Computational complexity
stems
computerized simulation
Computer simulation

Keywords

  • Active noise control
  • FxLMS algorithm
  • Modified FxLMS algorithm
  • Online secondary path modeling
  • Variable step size least mean square (VSS LMS) algorithm

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

@article{e06a82583df94fc89bc7b23d681b2f56,
title = "A new variable step size LMS algorithm-based method for improved online secondary path modeling in active noise control systems",
abstract = "This paper proposes a new method for online secondary path modeling in active noise control systems. The existing methods for active noise control systems with online secondary path modeling consist of three adaptive filters. The main feature of the proposed method is that it uses only two adaptive filters. In the proposed method, the modified-FxLMS (MFxLMS) algorithm is used in adapting the noise control filter and a new variable step size (VSS) least mean square (LMS) algorithm is proposed for adaptation of the secondary path modeling filter. This VSS LMS algorithm is different from the normalized-LMS (NLMS) algorithm, where the step size is varied in accordance with the power of the reference signal. Here, on the other hand, the step size is varied in accordance with the power of the disturbance signal in the desired response of the modeling filter. The basic idea of the proposed VSS algorithm stems from the fact that the disturbance signal in the desired response of the modeling filter is decreasing in nature, (ideally) converging to zero. Hence, a small step size is used initially and later its value is increased accordingly. The disturbance signal, however, is not available directly, and we propose an indirect method to track its variations. Computer simulations show that the proposed method gives better performance than the existing methods. This improved performance is achieved at the cost of a slightly increased computational complexity.",
keywords = "Active noise control, FxLMS algorithm, Modified FxLMS algorithm, Online secondary path modeling, Variable step size least mean square (VSS LMS) algorithm",
author = "Akhtar, {Muhammad Tahir} and Masahide Abe and Masayuki Kawamata",
year = "2006",
month = "12",
day = "1",
doi = "10.1109/TSA.2005.855829",
language = "English",
volume = "14",
pages = "720--726",
journal = "IEEE Transactions on Speech and Audio Processing",
issn = "1558-7916",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - A new variable step size LMS algorithm-based method for improved online secondary path modeling in active noise control systems

AU - Akhtar, Muhammad Tahir

AU - Abe, Masahide

AU - Kawamata, Masayuki

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This paper proposes a new method for online secondary path modeling in active noise control systems. The existing methods for active noise control systems with online secondary path modeling consist of three adaptive filters. The main feature of the proposed method is that it uses only two adaptive filters. In the proposed method, the modified-FxLMS (MFxLMS) algorithm is used in adapting the noise control filter and a new variable step size (VSS) least mean square (LMS) algorithm is proposed for adaptation of the secondary path modeling filter. This VSS LMS algorithm is different from the normalized-LMS (NLMS) algorithm, where the step size is varied in accordance with the power of the reference signal. Here, on the other hand, the step size is varied in accordance with the power of the disturbance signal in the desired response of the modeling filter. The basic idea of the proposed VSS algorithm stems from the fact that the disturbance signal in the desired response of the modeling filter is decreasing in nature, (ideally) converging to zero. Hence, a small step size is used initially and later its value is increased accordingly. The disturbance signal, however, is not available directly, and we propose an indirect method to track its variations. Computer simulations show that the proposed method gives better performance than the existing methods. This improved performance is achieved at the cost of a slightly increased computational complexity.

AB - This paper proposes a new method for online secondary path modeling in active noise control systems. The existing methods for active noise control systems with online secondary path modeling consist of three adaptive filters. The main feature of the proposed method is that it uses only two adaptive filters. In the proposed method, the modified-FxLMS (MFxLMS) algorithm is used in adapting the noise control filter and a new variable step size (VSS) least mean square (LMS) algorithm is proposed for adaptation of the secondary path modeling filter. This VSS LMS algorithm is different from the normalized-LMS (NLMS) algorithm, where the step size is varied in accordance with the power of the reference signal. Here, on the other hand, the step size is varied in accordance with the power of the disturbance signal in the desired response of the modeling filter. The basic idea of the proposed VSS algorithm stems from the fact that the disturbance signal in the desired response of the modeling filter is decreasing in nature, (ideally) converging to zero. Hence, a small step size is used initially and later its value is increased accordingly. The disturbance signal, however, is not available directly, and we propose an indirect method to track its variations. Computer simulations show that the proposed method gives better performance than the existing methods. This improved performance is achieved at the cost of a slightly increased computational complexity.

KW - Active noise control

KW - FxLMS algorithm

KW - Modified FxLMS algorithm

KW - Online secondary path modeling

KW - Variable step size least mean square (VSS LMS) algorithm

UR - http://www.scopus.com/inward/record.url?scp=33947243581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947243581&partnerID=8YFLogxK

U2 - 10.1109/TSA.2005.855829

DO - 10.1109/TSA.2005.855829

M3 - Article

AN - SCOPUS:33947243581

VL - 14

SP - 720

EP - 726

JO - IEEE Transactions on Speech and Audio Processing

JF - IEEE Transactions on Speech and Audio Processing

SN - 1558-7916

IS - 2

ER -