A new variable step-size NLMS algorithm designed for applications with exponential decay impulse responses

A new variable step-size normalized least mean square algorithm (VSSNLMS) is proposed which is designed for applications where the unknown filter has an exponential decay impulse response. In the proposed algorithm a variable vector step size is used on the basis of maximizing the decrease of the mean square deviation (MSD) between the optimal and adaptive filter weight vectors at each iteration. Faster convergence rate of the resulting algorithm as compared with existing VSSNLMS algorithms is supported by simulations.