Multichannel general order FTF algorithm and its application to the equalization of mobile communication channels

The authors consider the derivation of a numerically stable multichannel fast least-squares algorithm, the multichannel general-order fast transversal filter (MCGO-FTF). The new algorithm is derived by using a vector space formulation, and it is a general-order algorithm, i.e. the orders of several input channel joint process filters can be independently and arbitrarily specified. The numerical stability is achieved through feedback of numerical errors. The algorithm is tested in the equalization of mobile communication channels, which is an important application area for the algorithm. The decision feedback equalizer (DFE), which is essential for the equalization of a mobile communications channel, requires the use of a general-order algorithm to mitigate the effect of error propagation in the decision directed mode. Also, the choice of a least-squares algorithm for this application is critical because of its superior convergence properties