The adaptive separation of the overlapped periodic signals, whose periods are very close

A correlated impulse adaptive filter for separating periodic signals whose periods are very close is proposed. It is shown that the method is effective even when the signals are contaminated by white noise. The method requires multiple input of impulse series with different periods as reference signals. The periods of periodic signals must be detected through a search process in order to guarantee the correlation between the reference signals and periodic signals. By adopting the least-mean-square-error criterion, the output can be proved to be the desired signals. A μ-adjuster is used to speed up the convergence process and improve the filtering quality. A rectifying algorithm is proposed to correct the distortion of the output of the adaptive filter, which gives satisfactory results