Dual-hop MIMO relaying with OSTBC over doubly-correlated Nakagami-m fading channels

Abstract

In this article, we investigate the performance of dual-hop amplify-and-forward multiple-input multiple-output relaying system with orthogonal space-time block code transmissions over doubly-correlated Nakagami-m fading channel, where the source, relay, and destination terminals are all equipped with multiple antennas. For two different CSI-assisted relaying schemes, which could be encompassed by a unified model, we provide the compact closed-form expressions for cumulative distribution function, probability density function, moment generating function, and generalized moment (GM) of the instantaneous end-to-end SNR. Besides, the exact analytical expressions for the outage probability (OP) and symbol error rate (SER) and approximate expression for ergodic capacity are also derived. Furthermore, we present the asymptotic expressions for OP and SER in the high SNR regime, from which we gain an insight into the system performance and derive the achievable diversity order and array gain. The analytical expressions are validated by Monte-Carlo simulations.

Performance Analysis of OSTBC for Partial Relay Selection with Correlated Antennas over Nakagami-m Fading

“…We derive asymptotic approximation to obtain the diversity order with a similar approach as [10]. First, we expand the exponential term in CDF of γ 2 as,…”

On the Performance of SR and FR Protocols for OSTBC-Based AF-MIMO Relay System With Channel and Noise Correlations

“…Therefore, the closed-form expression for the outage probability P o = P o,1 P o,3 = P o,1 − P o,1Po,3 is obtained. However, the exact expression remains complicated, and thus, sufficient metrics and the corresponding insights may not be obtained 13 . As such, we derive a novel asymptotic expression for P o .…”

“…In both papers, source employs OSTBC encoding and the relay does not have receive-side CSI. On the other hand, performance analysis of the OSTBC-based dual-hop coherent AF relay system is proposed for Nakagami-m correlated channels in [12] and [13], where single-antenna and multiantenna relay are considered, respectively. In [13], both source and relay nodes use OSTBC, whereas direct link between the source and destination is not considered in [10]- [13].…”

“…On the other hand, performance analysis of the OSTBC-based dual-hop coherent AF relay system is proposed for Nakagami-m correlated channels in [12] and [13], where single-antenna and multiantenna relay are considered, respectively. In [13], both source and relay nodes use OSTBC, whereas direct link between the source and destination is not considered in [10]- [13]. The closed-form expression of the exact outage probability and the corresponding asymptotic expression are derived in [14] for a coherent MIMO relay system that uses decode-and-forward relay protocol, OSTBCs at the source and relay nodes, and has the direct link.…”

“…Note that when L 1 = 1 and L 2 = 1, P o,1 reduces to the OP expression derived in[31] for a two-hop single-antenna AF relay channel 13. It is also difficult to use exact expression in optimization problems, for example, when λ(1) i , λ(2)k , λ(3) l…”