Abstract
A novel system model is proposed for the dual-hop multiple-input multiple-output amplify-andforward relay networks, and the impact of antenna correlation on the performance is studied. For a semiarbitrary correlated source-relay channel and an arbitrary correlated relay-destination channel, the complementary cumulative distribution function (CCDF) and the moment-generating function (MGF) approximations of the end-to-end signal-to-noise ratio (SNR) are derived. The outage probability, the average symbol error rate (SER), and the ergodic capacity approximations are also derived. Two special cases are treated explicitly: (1) dual-antenna relay and multiple-antenna destination and (2) uncorrelated antennas at the relay and correlated antennas at the destination. For the first case, the CCDF, the MGF and the average SER of an upper bound of the end-to-end SNR are derived in closed-form. For the second case, the CCDF, the MGF, the average SER, and the moments of SNR are derived in closed-form; as well, the high SNR approximations for the outage probability and the average SER are derived, and the diversity gain and coding gain are developed. Extensive numerical results and Monte Carlo simulation results are presented to verify the analytical results and to quantify the detrimental impact of antenna correlations on the system performance.
Highlights
Cooperative relay networks have been the focus of a flurry of research activities and standard deployment [1,2,3,4,5]
We present the numerical and the simulation results for the proposed dual-hop AF multiple-input multiple-output (MIMO) relaying with antenna correlation
The proposed dual-hop relay network with multiple-antenna relay and destination provides a substantial bit error rate (BER) performance gains compared to single-antenna relaying
Summary
Cooperative relay networks have been the focus of a flurry of research activities and standard deployment [1,2,3,4,5]. In [14, 16, 17], the performance of single-relay system, where the source, the relay, and the destination terminals are equipped with multiple transmit/receive antennas, is analyzed. All these works employ space time block codes. For the sake of completeness, we briefly mention some prior research of the second category dealing with singleantenna two-hop AF relay networks Their performance over Rayleigh fading is analyzed in [4, 5]. Z F and (Z)H are the Frobenius norm and conjugate transpose of Z
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