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This paper addresses the issue of channel estimation (CE) for multiple antennas. Multi-antenna systems at the transmitter and/or receiver can improve the receivers performance in the presence of fading. Comparing the space-time coding (STC) schemes and the receiving diversity (RD) scheme employed at the receiver, simulation results indicate that space-time coding is less robust to the channel-estimation error than receiving diversity. The linear minimum-mean-squared error (LMMSE) estimator outperforms its least-squares (LS) counterpart. Using a low-rank LMMSE estimator, the computational complexity is reduced compared to the full-rank LMMSE estimator, while showing good performance.