In this paper, we propose an adaptive algorithm for adaptive line enhancer (ALE). The two constrains that are considered are the unit norm constrain and zeros constrain. By incorporating these two constrains, we show that the effect of a white disturbance signal on to the convergence of the ALE is eliminated in the mean sense. Furthermore, hy introducing a control mechanism, the stability and convergence of the system is guaranteed even if there is a sudden change in the frequency of the input sinusoidal signal. Simulation results that are presented, verify these properties.
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