VOLTERRA FILTER EQUALIZATION - A FIXED-POINT APPROACH

One important application of Volterra filters is the equalization of n onlinear systems, Under certain conditions, this problem can be posed as a fixed point problem involving a contraction mapping, In this pape r, we generalize the previously studied local inverse problem to a ver y broad class of equalization problems, We also demonstrate that subsp ace information regarding the response behavior of the Volterra filter s can be incorporated to improve the theoretical analysis of equalizat ion algorithms. To this end, a new ''windowed'' signal norm is introdu ced. Using this norm, we show that the class of allowable inputs is in creased and the upper bounds on the convergence rate are improved when subspace information is exploited.