Error saturation effects in the LMS adaptive line enhancer-transient response

Digital implementation of the least-mean-square (LMS) adaptive line enhancer (ALE) introduces certain nonlinear effects. An investigation is conducted into the effects of feedback error signal saturation on the ALE adaptation. A set of nonlinear coupled difference equations is derived by projecting the mean weight vector onto a set of orthogonal basis functions. These equations are used to study the transient behavior of the ALE for the case of one and two sinusoids in broadband noise. Simulations are presented which support the results of the theoretical model.<
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