Stability of residual acoustic noise variance in active control of stochastic noise
Ardekani, Iman; Abdulla, Waleed H.
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:http://hdl.handle.net/10652/2737
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.