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“New Results on the Mean an Mean Square Convergence of LMS”
by Esmat Bekir and C.-C. Jay Kuo
April 1995
New results on the mean and mean square convergence of the LMS algorithm are presented. First, a new approach is proposed for the derivation of the necessary and sufficient conditions for mean square convergence. Second, we derive an explicit expression on the bound of the step size and show an interesting relationship between the mean and mean square convergence.