— A very promising way to achieve high spectral efficiency in wireless communication is the use of multiple transmit and receive antennas. However, in combination with multicarrier modulation, e.g. MIMO-OFDM, the performance of such a system can be drastically limited due to the existence of RF imperfections such as oscillator phase noise. Many methods for phase noise compensations in a single antenna environment have been developed, whereas only a few deal with the problem in a MIMO case. Those contributions mainly discuss the common phase error (CPE) correction. In this work we extend the CPE correction and perform a linear minimum mean square error (LMMSE) estimation of higher order phase noise harmonics in order to compensate intercarrier interference (ICI) in a multi antenna system. In a coded multi antenna environment it is common to perform detector-decoder iterations which lead to an improved performance behavior. During the iterations we use the a-priori knowledge provided ...