A modified normalized FxLMS algorithm for active control of impulsive noise

In this paper we consider active noise control (ANC) of impulsive noise having peaky distribution with heavy tail. Such impulsive noise can be modeled using non-Gaussian stable process for which second order moments do not exist. The most famous filtered-x least mean square (FxLMS) algorithm for ANC systems is based on second order moment of error signal, and hence, becomes unstable for the impulsive noise. Previously, a modified-FxLMS algorithm has been proposed, where the reference signal used in update equation is modified on the basis of the thresholding parameters. In the practical ANC systems, these thresholding parameters need to be estimated offline and cannot be updated during online operation of ANC systems. In this paper we propose an ad hoc basis normalized FxLMS algorithm for ANC of impulsive noise sources, which does not require any thresholding. The computer simulations are carried out to verify the effectiveness of the proposed algorithm.