An Enhancement in Transient Response of LMS Adaptive Filtering

This paper studies the statistical behavior of an Affine combination of the outputs of two variable step size normalized least mean-square (LMS) adaptive filters that simultaneously adapt using the same white Gaussian inputs. The purpose to combine two filters is to obtain a new LMS adaptive filter with fast convergence and small steady-state mean-square deviation (MSD). The combination factor ? (n) is optimized which minimizes the mean-square error (MSE) and gives good steady state and transient response. By using this affine combination, we can cancel the noise signal with high convergence speed.