Performance analyses of OFDM AF relaying system in the presence of phase noise with APS and IPS

This article investigates the significant performances of orthogonal frequency division multiplexing （OFDM）-based dual-hop system in the presence of phase noise （PN）. A scenario with Rayleigh fading statistics on both hops is assumed. Amplification factor for this amplify-and-forward （AF） relay networks system is divided into two conditions, average power scaling （APS） and instantaneous power scaling （IPS）. Before deriving signal-to-noise ratios （SNR） under APS and IPS, the Gaussianity of intercarrier interference （ICI） is proved firstly. The accurate closed-form expressions of end-to-end SNR cumulative distribution functions （CDF） and probability density functions （PDF） for both cases are obtained later. With the help of moment generating functions （MGF）, we have closed-form asymptotic expressions of bit error rate （BER）, which show that the BER of system in the presence of PN cannot exceed a fixed level even when SNR in high regime. Finally, simulations verify accuracy of the results. Conclusion analysis will provide a useful help in future application of the system.