In recent years, adaptive filtering has become one of the effective and popular approaches for the processing and analysis of the signals with noise especially of the biomedical signals. Adaptive filters permit to detect time varying potentials and to track the dynamic variations of the signals. Besides, they modify their behavior according to the input signal. Therefore, they can detect shape variations in the ensemble and thus they can obtain a better signal estimation. This paper is to study, analyze various adaptive filter algorithms and apply Mat lab to investigate their performance behaviors with two step sizes of 0.02 and 0.04.