A family of normalized least mean fourth algorithms and their tracking analysis

In this work, a family of normalized least mean fourth algorithms is presented. Unlike the LMF algorithm, the convergence behavior of these algorithms is independent of the input data correlation statistics. Moreover, the tracking analysis of these algorithms is carried out in the presence of two sources of nonstationarites (carrier frequency offset between transmitter and receiver, and random variations in the environment). Simulation results agree very closely with theory and an enhancement in performance is obtained through the use of these techniques over the LMF algorithm. the step size.