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An Improved Variable Step-Size LMS Algorithm

To improve the performance of LMS adaptive algorithm, in this paper a new variable step-size LMS algorithm is proposed based on the analysis of some variable step-size algorithms. Through establishing a new nonlinear relationship between the step size and the error, the algorithm eliminates the irrelevant noise and improves the convergence rate to obtain a better stability. And the computer simulation results are consistent with the theoretical analysis, which confirmed that the algorithm is superior to other algorithms on convergence rate, tracking speed and steady-state error.