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Impact of channel estimation errors in amplify-and-forward two-way relaying system

In this paper, the impact of channel state information (CSI) estimation errors on the performance of amplify-and-forward (AF) two-way relay network (TWRN) with single relay assisted has been investigated. The variance of channel estimation errors varies for different values of the transmitting SNR, dominated by the channel estimation quality order. We derive the exact closed-form and the approximate expressions of the cumulative distribution function (CDF) of the received signal-noise-ratio (SNR) for the link. Based on this, the system outage probability is given. What's more, we present the approximate expression of the average symbol error rate (SER) under different levels of channel estimation errors by using the moment generating function (MGF). Numerical results validate the correctness of our theoretical analysis for SER.