The invention relates to a channel
equalization problem in an Alpha stable distribution
noise environment, and in particular relates to a
nonlinear channel equalization method in an Alpha stable distribution
noise environment. The method comprises the following steps of: (1), constructing a cost function in the Alpha stable distribution
noise environment; (2), mapping a received
signal into a high-dimensional feature space through a kernel function, and deducing an
equalizer tap coefficient updating formula in the high-dimensional feature space and an
equalizer output iterative formula; and (3), performing iterative updating of the
equalizer coefficient by using the equalizer tap coefficient updating formula till a training sequence is completely processed. According to the
nonlinear channel equalization method disclosed by the invention, a
kernel method is successfully applied in
nonlinear channel equalization under Alpha stable distribution noise; a KLMP
algorithm is provided;
distortion generated by a nonlinear channel under the Alpha stable distribution noise can be made up better; and, on the premise that the convergence speed of the
algorithm is ensured, the better equalization performance can be obtained through low steady-state error.