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    Stability of residual acoustic noise variance in active control of stochastic noise

    Ardekani, Iman; Abdulla, W. H.

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    21013 ICASSP - must be updated.pdf (1.081Mb)
    Date
    2013
    Citation:
    Ardekani, I. T., and Abdulla, W. H. (2013). Stability of residual acoustic noise variance in active control of stochastic noise. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Canada(Ed.). NOTE: This is research undertaken for the University of Auckland prior to the first author being affiliated with the Unitec Institute of Technology.
    Permanent link to Research Bank record:
    https://hdl.handle.net/10652/2737
    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.
    Keywords:
    active noise control (ANC), FxLMS algorithm, stochastic noise, ANC
    ANZSRC Field of Research:
    091301 Acoustics and Noise Control (excl. Architectural Acoustics)
    Copyright Holder:
    Institute of Electrical and Electronics Engineers
    Available Online at:
    http://ieeexplore.ieee.org/
    Rights:
    This digital work is protected by copyright. It may be consulted by you, provided you comply with the provisions of the Act and the following conditions of use: Any use you make of these documents or images must be for research or private study purposes only, and you may not make them available to any other person. You will recognise the author's and publishers rights and give due acknowledgement where appropriate.
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