An algorithm for channel equalization with adaptive tap position control

A stochastic adaptive algorithm is proposed for simultaneous channel equalization and reference tap placement. It is shown that the algorithm is gradient following in an expected sense. It is further shown that the long-term behaviour of the algorithm can be approximated by an associated differential equation. The stability of the equilibrium points of the differential equation are analyzed to yield pointers to the behaviour of the algorithm. The speed of convergence of the algorithm is investigated; it is shown that the algorithm is parallelizable and its speed performance can be considerably improved.