Outage probability analysis of the relay network with correlated relaying channels

A relay network can provide the extended linkcapacity and coverage thanks to its good spatial diversity.In order to analyze the relay network performance, mostof the works in literature assume the independent relayingchannels. In practice, the received signals experience thecommon scatterers, hence the correlated relaying channelsshould be considered. In this paper, we first derive anovel and accurate probability density function (PDF)of a modulus of the sum of products of two correlatedzero-mean complex Gaussian random variables (RVs),which is useful for the statistical analysis of the cascadedrelaying fading channels. Based on this result, we secondlyinvestigate the received signal-to-noise ratio (SNR) outageprobability of a relay network in the presence of correlatedrelaying channels. It is found that the correlation magnitudeis more important than the correlation phase for theanalysis of power-based signal-detection of relay networks.Numerical simulations have been carried out to confirmthe correctness of the derivation.