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In a bid to improve the performance of adaptive channel impulse response (CIR) prediction using the decision directed channel estimation (DDCE) scheme for OFDM systems, regularized adaptive algorithms are proposed. These are obtained by incorporating sparsity inducing penalty terms in the cost functions to be minimized by the algorithms. Computer simulation results comparing the performance of the regularized adaptive algorithms-based CIR predictors with the conventional predictors are presented. The results show improved performance of the modified predictors over the conventional ones. The improved performance is apparently due to the exploitation of the inherent sparsity in the system.