Filtered-x Least Mean Square/Power Normalized Fourth Algorithm (FXLMS/PF) for Active Noise Control

In order to improve the defect of high steady-state error of the algorithm caused by unsteady error signal noise in active noise control (ANC) system. The filtered-x least mean square/power normalized fourth (FXLMS/PF) algorithm is proposed by introducing the least mean square/fourth (LMS/F) algorithm into the ANC system and normalizing the power of the error signal in the algorithm. The algorithm is an improvement on the commonly used the filtered-x least mean square (FXLMS) algorithm and aims to balance noise reduction with fast convergence speed. The authors conducted simulations under different noise conditions, and the results demonstrated superior performance compared to other algorithms. The proposed algorithm offers a potential solution to the challenge of balancing noise reduction and convergence speed in ANC system.