Analysis of the sign-sign algorithm based on Gaussian distributed tap weights

In this paper, a new set of difference equations is derived for convergence analysis of adaptive filters using the sign-sign algorithm with Gaussian input reference and additive Gaussian noise. The analysis is based on the assumption that the tap weights are jointly Gaussian distributed. Residual mean squared error after convergence and simpler approximate difference equations are further developed. Results of experiment exhibit good agreement between theoretically calculated convergence and that of simulation for a wide range of parameter values of adaptive filters