Variable Step LMS Algorithm Research and Simulation

Although the traditional LMS algorithm has many advantages,such as simple methods and small burden in computation but for the sake of constant step,it has always contradiction in relationship between solving the steady-state error and convergence,which also makes the traditional LMS algorithm have the characteristics of slowing convergence speed.In combination of the traditional LMS adaptive filter algorithm,hereon,the step factor was improved.The variable step forward long LMS algorithm was proposed by establishing function relationship between step factor and error factor.Through MATLAB simulation and comparison of the improved algorithm with the traditional LMS algorithm,the simulation results expatiates that the improved algorithm is obviously highlighted in the convergence rate and steady-state error of the system.