The Impact of Loopback Channel Estimation Error on Performance of Full-Duplex Two-Way AF Relaying Communication Systems

In this work, we acknowledge the existence of the accumulation of the loopback self-interference when AF protocol is made used of in FDTW relaying and the channel estimation of the loopback channel is not done perfectly as will seen in the section to follow. The accumulation of the loopback self-interference comes from the functionality of FD antenna, which will bring back the transmitted signal to interfere with the current incoming signal. The accumulation of the loopback self-interference can be mathematically expressed as the summation of the series of random variables correlated with all the previous channel gains. In this work, we provide the condition when such a summation converges and verify that through simulations.

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