Non-Wiener effects in LMS-implemented adaptive equalizers

An adaptive transversal equalizer based upon the least-mean-square (LMS) algorithm, operating in an environment with temporally correlated interference can exhibit better steady-state mean-square-error (MSE) performance than the corresponding Wiener filter. This phenomenon is a result of the nonlinear nature of the LMS algorithm and is obscured by traditional analysis approaches that utilize the independence assumption. We use a transfer function approach to quantify the MSE performance of the LMS algorithm and demonstrate that the degree to which LMS may outperform the corresponding Wiener filter is dependent on system parameters such as signal-to-noise ratio and the step-size parameter.