Stability of Residual Acoustic Noise Variance in active control of stochastic noise

This paper concerns about the theoretical stability of the adaptation process performed by the Filtered-x Least Mean Square (FxLMS) algorithm in active control of acoustic noise. A dynamic model for the Variance of Residual Acoustic Noise (VRAN) is developed and it is shown that the stability of thi...

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Published inProceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) pp. 379 - 382
Main Authors Ardekani, Iman Tabatabaei, Abdulla, Waleed
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2013
Subjects
Abstracts
Active noise control
Delays
FxLMS algorithm
Stability analysis
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ISSN1520-6149
DOI10.1109/ICASSP.2013.6637673

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Abstract This paper concerns about the theoretical stability of the adaptation process performed by the Filtered-x Least Mean Square (FxLMS) algorithm in active control of acoustic noise. A dynamic model for the Variance of Residual Acoustic Noise (VRAN) is developed and it is shown that the stability of this model is a sufficient condition for the stability of the adaptation process. The basic rules governing the VRAN root locus are developed, based on which an upper-bound for the adaptation step-size is derived. This upper-bound can apply to a general case with an arbitrary secondary path, unlike the traditional upper-bound used in adaptive filter theory, which was derived only for pure delay secondary paths.
AbstractList This paper concerns about the theoretical stability of the adaptation process performed by the Filtered-x Least Mean Square (FxLMS) algorithm in active control of acoustic noise. A dynamic model for the Variance of Residual Acoustic Noise (VRAN) is developed and it is shown that the stability of this model is a sufficient condition for the stability of the adaptation process. The basic rules governing the VRAN root locus are developed, based on which an upper-bound for the adaptation step-size is derived. This upper-bound can apply to a general case with an arbitrary secondary path, unlike the traditional upper-bound used in adaptive filter theory, which was derived only for pure delay secondary paths.
Author Ardekani, Iman Tabatabaei
Abdulla, Waleed
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Snippet This paper concerns about the theoretical stability of the adaptation process performed by the Filtered-x Least Mean Square (FxLMS) algorithm in active control...
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StartPage 379
SubjectTerms Abstracts
Active noise control
Delays
FxLMS algorithm
Stability analysis
Title Stability of Residual Acoustic Noise Variance in active control of stochastic noise
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