Channel equalization using the G-Probe

In this paper, we describe the gradient-with-projection-on-optimal-bounding-ellipsoid (G-Probe) algorithm, for use in channel equalization. The G-Probe is compared to the NLMS-based equalizer in the case where the transmitted signal is attenuated by strong and periodic fading, and the channel undergoes structured interference at the same time. In such scenarios small perturbations in the channel may cause the NLMS parameters to drift, leading to large instantaneous errors referred to as burst phenomena. The G-Probe provides both MSE and instantaneous steady-state error performance guarantees resulting in reduced error bursts. This paper provides simulation results in the performance of G-Probe for a linear ISI channel with AWGN and its performance in a channel with periodic fading. Finally, the paper provides comparison results of G-Probe against three adaptive algorithms; the OBE, NLMS, and RLS.