better predictor of MSE performance for the entire range of mean-square stable step-sizes for LMS [7].We present a new algorithm, derived from LMS, which further improves MSE performance of the adaptive equalizer used for mitigation of narrowband interference.In Section 2 the MSE performance of the LMS equalizer operating in non-Wiener mode is reviewed, with emphasis on its transient behavior for different weight initializations. We then introduce periodic resetting of the LMS weights to illustrate that the MSE of the equalizer can be improved. The insight gained is used in Section 3 to define the bi-scale LMS algorithm (BLMS). The MSE performance of BLMS is then illustrated and compared to that of the corresponding LMS algorithm.the adapted weight vector. Here, []T and []H denote the transpose and conjugate transpose operators, respectively. The LMS algorithm updates W n with the "desired" signal d n by In Fig. 1, the setup of the adaptive equalizer for mitigation of narrowband interference is indicated. The adaptive equalizer takes the input signal Un , which consists of a desired communication signal X n , additive white complex Gaussian noise nn , and cisoid interference in. Although equalizers are usually employed to mitigate the channel effect on x n , we assume in this paper that the channel is ideal as we are interested in the equalizer behavior when mitigating narrowband interference. All signals are at complex baseband and sampled at the symbol rate of X n • The transversal adaptive equalizer forms an M-tap input vector In various applications involving narrowband processes, such as noise canceling, prediction, and equalization in interference-dominated environments, transversal least mean square (LMS) adaptive filters will often perform better than expected from the optimal filters of the same structure [1-4]. These non-linear or non-Wiener effects are due to the capability of adaptive filters to produce dynamic, timevarying behavior in their weights [3][4][5].It was shown recently that in the adaptive equalization scenario, where the transversal equalizer is used primarily to mitigate narrowband interference, the steady-state mean of the LMS weight vector is different from that of the fixed Wiener equalizer of the same structure. As a result the prediction of mean square error (MSE) performance of such an equalizer [4,6] needed to be modified, by taking into account the spiral weight mean associated with the LMS algorithm. The resulting MSE prediction was shown to be a Index Terms-LMS, equalization, nonlinear effects, narrowband interference mitigation, bi-scale LMS ABSTRACT