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The problem of blind channel estimation in Multiple-Input-Multiple-Output (MIMO) Orthogonal Frequency-Division Multiplexing (OFDM) systems is investigated in this study, assuming that the transmitted symbols are independent and identically distributed. In particular, by utilizing a generalized linear non-redundant precoder, a simple blind channel estimation technique for MIMO-OFDM systems is developed. A novel contribution is that instead of using only one column of the signal covariance matrix, as done in previous works, proposed estimator jointly considers all the information contained in the signal covariance matrix. Comparisons show that the proposed approach outperforms the existing estimators. It is also noticed that the proposed algorithm is much more computationally efficient. Consequently, the proposed method is a promising blind channel estimation candidate for MIMO-OFDM systems.