FRLS complex Decision Feedback adaptive channel equalizer using real valued arithmetic

This paper considers the implementation of a Fast Recursive Least Squares, complex adaptive Decision Feedback channel equalizer, using real valued arithmetic. An efficient adaptive scheme is established based on novel three-terms recursions for the time updating of the pertinent parameters, resulting in significant computational savings. The proposed algorithm is implemented using real valued arithmetic only, whilst reducing the number of the required real valued multiplication operations by 23%, at the expense of a marginal 1.5% increase in the number of the real valued additions.