Theoretical framework for stochastic modeling of FxLMS-based active noise control dynamics

There have been several contributions on theoretical modeling of FxLMS-based active noise control systems; however, when it is intended to derive elegant closed-form expressions for formulating dynamical behaviors of these systems, a number of simplifying assumptions regarding the acoustic noise, the actual secondary path and its model have to be used. This paper develops a dynamic model for FxLMS-based ANC systems, considering a general stochastic acoustic noise and a general secondary path. Also, an arbitrary secondary path model, which is not necessarily a perfect model, is considered. The main distinction of this model is that previously-derived dynamic models can be resulted in from it as special cases.