The common variable step size LMS algorithm has many weakness

such as poor convergence speed and sensitivity to noise.A new variable step size adaptive filter algorithm is presented.A new non-linear function between step factor and error signal is established.In this algorithm

the step size factor is adjusted by the absolute value of the product of the current and former errors.The algorithm also introduces the disturbance of the absolute estimation error to update the tapping vector of the self-adaptive filter.The theoretical analysis and simulation results shows that compared with SVSLMS and G-SVSLMS algorithm

the new algorithm has faster convergence speed

lower steady state error and better performance of noise suppression.