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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Bibliographic Details
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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Summary: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.
ISSN:1520-6149
DOI:10.1109/ICASSP.2013.6637673