An initialization scheme for normalized generalized fast transversal filter algorithm for data transmission

The generalized fast transversal filter (FTF) algorithm is the computationally most efficient algorithm for a general multichannel adaptive filtering problem with an unequal number of stages in different filters, such as decision feedback equalization of dispersion channels. The normalized generalized FTF algorithm is presented, with special emphasis on initialization aspects, which, if not addressed, may result in divergence of the algorithm. It is shown that the soft constrained initialization with a judicious choice of μ stabilizes the solution. The mean square error convergence characteristics for decision feedback equalization of quadrature phase shift keying (QPSK) data transmitted over a dispersive channel are obtained by computer simulation