Research and application of the particle swarm optimization in adaptive notch filter design

Traditional adaptive notch filter based on the LMS algorithm is so serious affected by the step-size and other parameters that the learning curve isn´t very well. Inspired by analyzing effect of step-size in adaptive notch filter based on the LMS algorithm, the PSO algorithm is applied to design the adaptive notch filter for the first time in this paper. The PSO algorithm is not depended on any parameters. On the other hand, the PSO algorithm has many advantages of simplicity, computational efficiency, and good performance under a variety of operating conditions. The simulations shows that the adaptive notch filter based on the PSO algorithm is better than classic adaptive notch filter based on the LMS algorithm, convergence speed and the robustness. As a result, it is efficient and it has some value in the engineering.