New analytical model for the filtered-x least mean squares algorithm verified through active noise control experiment

This paper presents a new analytical model for the behavior of the Filtered-x LMS adaptive algorithm when applied to active noise control (ANC) in a finite duct. The new model is derived using a stochastic differential equation (SDE) approach. The theoretical predictions are verified through experimental results. The real-time system has been implemented using only I/O cards and a general purpose computer. Automation of the experimental setup allows the practical verification of the theoretical statistical model using Monte Carlo techniques. It is verified that the behavior of the algorithm is accurately predicted by the theoretical model.