Statistical functions describing two-hop amplify and forward relay systems under Ricean fading

Motivated by the importance of the Ricean Statistical model in describing communication channels, in this paper we study statistical behavior of dual-hop amplify-and-forward relay transmission over non-identical Ricean fading channels. Fixed gain (FG) amplification at the relay is assumed. Two most important statistical functions describing total received signal-to-noise ratio are derived: probability density function (PDF) and cumulative distribution function (CDF). They are obtained in a form of rapidly converging infinite sum. The derived expressions are valid for different fading scenarios (different Ricean K factors and average SNRs), and coincide to previously published results for Rayleigh fading.