On the Finite-SNR DMT of Two-Way AF Relaying with Imperfect CSI

Abstract

A general framework of finite-SNR diversitymultiplexing tradeoff (DMT) is formulated to evaluate the impact of imperfect channel estimation in two-way amplify-andforward (AF) relaying systems over Nakagami-m fading channels. Imperfect self-interference cancellation and signal detection are performed at both sources due to channel estimation errors. The overall outage probability (OOP) is obtained and then the finite-SNR DMT is derived in the presence of channel estimation errors. Furthermore, the asymptotic and limiting behavior expressions of the finite-SNR DMT are also evaluated adequately. Numerical results verify the theoretical analysis and show that at realistic SNR and channel estimation quality, the DMT is significantly lower than the asymptotic result.Index Terms-imperfect channel estimation, two-way amplifyand-forward (AF) relaying, overall outage probability (OOP), finite-SNR diversity-multiplexing tradeoff (DMT).

Impact of Co-Channel Interference on Two-Way Relaying Networks with Maximal Ratio Transmission

“…When Ω e 1 = Ω e 2 = 0, perfect CSI is used and (43) becomes equal to (4). Channel estimation errors are usually small in practical operations, thus χ 1 , χ 2 , λ 1 and λ 2 can be neglected (as in [34,35]), since their values are much smaller compared to the SNR values γ 1 and γ 2 in the denominator. Then, (43) can be written as…”

Outage behaviour and SCK‐based power allocation for analogue network coding protocol in cooperative networks

“…AF as a non-regenerative cooperation protocol has gained much attention due to its simple relay functionality [17]. Compared with regenerative cooperation such as decode-and-forward (DF) relaying, neither demodulation nor decoding is needed at the relay in the AF relaying since the relay only re-transmits the amplified version of the received signals.…”

“…Also, the outage probabilities in (32) is our future work. We compare (17) with (32) by computer simulation in Section 6.…”

“…In the following figures, the simulation SOP is obtained by using Monte-Carlo simulation of (17), where ℐ i j z is given by (4),…”

“…In light of the preceding discussion, we consider a half-duplex Rayleigh-fading butterfly network, and derive the closed-form expressions of the outage probabilities for orthogonal amplify-andforward (OAF) and non-orthogonal amplify-and-forward (NAF) protocols in a butterfly wireless network. Both belong to an analogue network coding [13][14][15][16][17][18][19][20][21][22][23][24], which is a well-known amplifyand-forward (AF)-based protocol, and has been studied widely in the literature due to its simplicity: the relay node amplifies and forwards the analogue signal waveforms received from all sources without any particular processing. We also develop their closedform power allocations which use only SCK.…”