A new gradient based variable step-size LMS algorithm

A new gradient-based variable step-size LMS algorithm (VSSLMS) is proposed in this paper. The step size of the proposed algorithm is proportional to the squared norm of the smoothed gradient vector, which is a proximity measure of the adaptive process. In comparison with the existing methods, the proposed VSSLMS algorithm has improved convergence properties. Furthermore, the parameter choice of the proposed algorithm can be easily determined according to the analysis. Simulation results show the good properties of the proposed algorithm and support the performance analysis.