A new efficient method of convergence calculation for adaptive filters using the sign algorithm with digital data inputs

This paper proposes a new method of theoretical calculation of the expected convergence process for adaptive filters using the sign algorithm with digital data as the input reference signal. In the analysis use is made of the Gaussian approximated conditional PDFf of the error signal to derive a set of difference equations. The results of the experiment show the sufficient accuracy of the proposed method for practical use, while significantly reducing the computing time in comparison with the previous methods.