Decision feedback equalizer with set-membership affine projection algorithm for frequency selective MIMO channels

Abstract

A channel equalization scheme using the adaptive decision feedback equalizer (DFE) based on the set-membership (SM) affine projection (AP) algorithm is presented for frequency selective multiple-input multiple-output (MIMO) channels. The performance of the proposed approach is investigated, and the results show that this channel equalizer offers significant improvement in the convergence and bit error rate (BER) with a nominal increase in complexity over MIMO-DFE using the normalized least mean square (NLMS) algorithm with SM filtering. It is also observed that BER and convergence performance of this equalizer is close to that of a MIMO-DFE using the data-reusing affine projection algorithm, but with much lesser complexity due to data-selective updates.