Kernel Recursive Least Squares-Type Neuron for Nonlinear Equalization

The nonlinear channel distotions and the nonminum phase channel characteristics modelling, are a significant part in channel equalization problems . on theother hand, the nonlinear system requiring equalization is often noninvertible, resulting in a drastic loss of information.So far, Hammerstein and wiener models, Artificial Neural Networks (ANN), radial basis function (RBF) have been widely used as nonlinear methods in different applications,such as equalization. The kernel methods are well known for their great modelling capacity of nonlinear systems in addition to their modest complexity. A new kernel recursive least square-type neuron (NKRLS) equalizer is proposed which improves aforementioned nonlinear methods problemssuch as, classical training algorithm drawbacks to parameter definition, slow convergence, local minima, non-convexoptimization, loss of universal approximation . NKRLS doesthat thanks to its nonparametric and universal approximation properties. NKRLS cosnsists of Kenel recursive least squarefollowed by a simple neuron. In the first part of paper the new proposed KRLS-type neuron algorithm is introduced. The second part of paper corroborates our results with simulation results.

Keywords:

Reproducing Kernel Hilbert spaces , Kernel recursive least squares , Neural network , Equlization