Effects of Imperfect Secondary Path Modeling on Adaptive Active Noise Control Systems

Ardekani, Iman Tabatabaei; Abdulla, Waleed H.

doi:10.1109/tcst.2011.2161762

Cited by 52 publications

(21 citation statements)

References 18 publications

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“…As the estimation amplitude error is greater than the actual secondary path, the maximum step size bound is increased, and vice versa. This observation also coincide with that reported in [11] for the feedforward case.…”

Section: Estimation Errors Contributionsupporting

confidence: 92%

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Step size bound for narrowband feedback active noise control

Wang

Gan

Chong

et al. 2013

2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

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This paper presents the derivation of the convergence analysis of the feedback active noise control under perfect and imperfect secondary path transfer functions. Existing analysis approaches do not include the analysis of the reference signal synthesis errors due to the complexity of interrelated feedback nature. A detailed derivation of the maximum step size bound for the feedback active noise control system has been formulated for perfect and imperfect secondarypath estimation. This theoretical work has been verified by computer simulations.

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Section: Estimation Errors Contributionsupporting

confidence: 92%

“…In more recent studies reported in [10][11], an upper bound is obtained with a more general condition for feedforward ANC system., and arrives at the same step-size bound as in (14). Based on the closed-loop transfer function in (13) and under perfect secondary estimation, we can express (13) as…”

Section: Estimation Errors Contributionmentioning

confidence: 99%

Step size bound for narrowband feedback active noise control

Wang

Gan

Chong

et al. 2013

2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference

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“…Various attempts on derivation of theoretical convergence analysis for the FxLMS algorithm have been made with different simplified assumptions on inputs being single or multitonal, stationary or purely white, and secondary path being pure delay or moving average model, etc. [22,23].…”

Section: Performance Analysis and Computational Complexitymentioning

confidence: 99%

Robust adaptive algorithm for active control of impulsive noise

Mirza

Zeb

Sheikh

2016

EURASIP J. Adv. Signal Process.

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Active noise control (ANC) systems employing adaptive filters suffer from stability issues in the presence of impulsive noise. To overcome this limitation, new methods must be investigated. In this paper, we propose the filtered-x state-space recursive least square (FxSSRLS), an SSRLS-based practical and adaptive algorithm for ANC. Computer simulations are executed to verify the enhanced performance of the FxSSRLS algorithm. Symmetric α-stable (SαS) distributions are used to model impulsive noise. The results show that the proposed FxSSRLS algorithm is more robust in eliminating high-peaked impulses than the recently reported algorithms for ANC applications. Moreover, the suggested solution exhibits better stability and faster convergence, without jeopardizing the performance of the proposed solution in terms of residual noise suppression in the presence of impulses.

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“…x GðzÞ z Q À z QÀ1 ¼ 0: (12) From this equation, the FxLMS open loop transfer function H(z) and the FxLMS root locus parameter k can be formulated as…”

Section: Analysis: Fxlms Root Locusmentioning

confidence: 99%

Root locus analysis and design of the adaptation process in active noise control

Ardekani

Abdulla

2012

The Journal of the Acoustical Society of America

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This paper applies root locus theory to develop a graphical tool for the analysis and design of adaptive active noise control systems. It is shown that the poles of the adaptation process performed in these systems move on typical trajectories in the z-plane as the adaptation step-size varies. Based on this finding, the dominant root of the adaptation process and its trajectory can be determined. The first contribution of this paper is formulating parameters of the adaptation process root locus. The next contribution is introducing a mechanism for modifying the trajectory of the dominant root in the root locus. This mechanism creates a single open loop zero in the original root locus. It is shown that appropriate localization of this zero can cause the dominant root of the locus to be pushed toward the origin, and thereby the adaptation process becomes faster. The validity of the theoretical findings is confirmed in an experimental setup which is implemented using real-time multi-threading and multi-core processing techniques.

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Effects of Imperfect Secondary Path Modeling on Adaptive Active Noise Control Systems

Cited by 52 publications

References 18 publications

Step size bound for narrowband feedback active noise control

Step size bound for narrowband feedback active noise control

Robust adaptive algorithm for active control of impulsive noise

Root locus analysis and design of the adaptation process in active noise control

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