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This paper presents a classical MIMO transmission with pilot aided sequences based on adaptive LS channel estimation in a correlated time varying. The complexity reduction in performance is obtained for the various forgetting factors derived through the simulation. It is realized that, as long as the correlation of the channel parameters at different time indexes exceeds, the value of forgetting factor has to be increase, reaching maximum value. The performance of channel estimation is considered by the MSE criterion of the estimated channel coefficients. The MSE of the channel coefficients is formulated analytically, employing the distinct pilot sequences to confirm how it matches the simulated result. It can be emphasized that the results verify a final relation that is independent of the number of antennas.