In this paper, we analyze, for the first time, the performance of a full-duplex system combined with spatial modulation technique in presence of the receiver non-idealities. IQ imbalance and phase noise are the two radio front-end mismatch factors that have been considered. The impact of the IQ imbalance on the bit error rate (BER) performance of the full-duplex spatial modulation (FDSM) system under different noise levels is investigated. An estimator has also been proposed for the self-interference cancellation (SIC) after the imperfect receiver. The results show that IQ imbalance does not significantly reduce system BER performance at low signal-to-noise ratios. Moreover, it is shown that the proposed estimator is able to maintain the system at an acceptable BER.