A new LMS algorithm with application to fixed satellite communications

A distinctive new LMS algorithm is proposed in this paper. Both fast convergence rate and small steady state error can be obtained through non-linear weighting N errors of the current moment and past moments in this algorithm. The algorithm analyzed that the ideal step size is achieved by increasing the error information, building new nonlinear relations between step size factor and error function and eliminating the effect of correlated noise sequences. Then the new algorithm is applied to the fixed satellite communications system in which the channel is affected by multipath effect and weather conditions attenuation. Simulation results show that the new algorithm converges faster than usual algorithms under approximate steady state performance. The signal BER performance is greatly improved with the new adaptive algorithm equalizer in the fixed satellite communications system.