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This paper focuses on the compensation of Carrier Frequency Offsets (CFO) in Multi-Input Multi-Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM) systems with distributed transmit antennas, where the CFOs are possibly different for each transmit antenna. Considering macroscopic fading and multipath Rayleigh fading, the average power of the Inter-Carrier Interference (ICI) caused by the CFOs is derived. The optimal CFO compensation value is then obtained by maximizing the Signal-to-Interference-and-Noise Ratio (SINR) before MIMO detection. It is shown that the optimal CFO compensation value should be located between the minimum and maximum value of the CFOs and depends on the CFOs and the macroscopic fading of all the transmit antennas.
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