Robust Equalizer Based on New Lower-Order Statistic Under Impulsive Noise Cases

Digital communication systems usually suffer from two factors: inter-symbol interference and impulsive noise. To improve the performance of communication receivers, this paper proposes a good solution to a linear blind equalizer. Firstly, a new lower-order statistic with a lower influence of impulsive noise is constructed based on a nonlinear function. Secondly, an unconstrained optimization problem is formulated by minimizing the mean square error related to the new lower-order statistic, and a new equalization algorithm is derived to effectively compensate for the inter-symbol interference. Thirdly, to further enhance the robustness of the proposed algorithm, the iterative formula of the proposed algorithm is handled by normalizing samples. Finally, numerical simulation results demonstrate that the proposed algorithm achieves better performance under Gaussian and impulsive noise.