An Adaptive Step-size Order Statistic Time Domain Equaliser for Discrete Multitone Systems

In this paper, an adaptive step-size order statistic time domain equaliser (TEQ) for discrete multitone (DMT) systems is presented. The authors have shown that the TEQ and target impulse response (TIR) solutions of a costly constrained optimisation can be cheaply obtained by means of a variant of the well-known low-complexity normalised least mean square (NLMS) algorithm. An algorithm for adapting step-size of an order statistic NLMS TEQ is presented. Simulation results reveal that the trajectories of step-size parameters of the proposed algorithm converge to their own equilibria despite large variations in initial step-size settings. Robustness of proposed TEQ with different types of disturbations such as additive white Gaussian noise (AWGN) and near-end crosstalk (NEXT) is also shown as a comparison with the existing minimum mean square error-TEQ (MMSE-TEQ)