Performance of OFDM AF Relaying System with Subcarrier Mapping in the Presence of Phase Noise

—In this article we investigate the performance of Orthogonal Frequency Division Multiplexing (OFDM)-based dual-hop Amplify-and-Forward (AF) relay networks in the presence of Phase Noise (PN). A scenario with Rayleigh fading statistics on both hops is assumed. We prove the intercarrier interference is Gaussian random variable firstly, which is recognized by everyone but has not been proved, and obtain the form of Signal-to-Noise Ratios (SNR). Then we investigate the end-to-end SNR Cumulative Distribution Function (CDF) and probability density functions (PDF) with ordered subcarrier mapping schemes, i.e., Best-to-Worst (BTW) subcarrier mapping (SCM) and Best-to-Best (BTB) SCM, and get the accurate Closed-Form expressions for CDF and PDF of the OFDM AF system with PN in Rayleigh fading channel. Using the expressions above, we get outage probability. Closed-form asymptotic expressions of outage probability are then derived. With the help of end-to-end SNR PDF we have the Bit Error Rate (BER), closed-form asymptotic expressions of BER show that the BER of system in the presence of PN can not exceed a fixed level even when SNR is in high regime. Finally, we simulate the results and verify their accuracy. Conclusion analysis will provide a useful help in future application of the system.