This paper studies and develops the joint maximum-a-posteriori (MAP) estimation algorithm of carrier frequency offset (CFO) and block-fading channel responses using the Bayesian approach in full-duplex multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems. OFDM transmissions are highly susceptible to carrier frequency offset that also introduces inter-carrier interference (ICI) and gives an irreducible error floor in receiver performance. In the full-duplex wireless system, residual self-interference (SI) after radio-frequency (RF) cancellation stage will act as an additional noise and reduces the operating signal-to-noise ratio (SNR). This paper also provides analytical and numerical results of the proposed estimation accuracy (mean square error (MSE) and bit error rate (BER)). The simulation results show that, the proposed algorithm can offer good performance (BER of desire signal) and good SI and CFO cancellation performance for a large SNR or CFO range
