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Cyclic prefix (CP) based block recursive least squares (RLS) channel estimation algorithms have been proposed for orthogonal frequency division multiplexing (OFDM) systems. In this paper, we investigate the performance of CP based exponentially weighted block RLS channel estimator. Our analysis and extensive simulation results show that smaller values of exponential forgetting weightings cause increase in convergence time and steady state performance error of the algorithm. Furthermore, performance of the approach degrades with the increase in channel nulls and constellation size.