Phase noise analysis of the OFDM communication system by the standard frequency deviation

This paper analyzes phase noise effects on the performance of an OFDM communication system by the linear approximation approach. We newly present a generalized phase noise power spectrum density (PSD) model using the normalized phase noise power spectrum model-Lorentzian model. Also, we derive the relationship between the phase noise PSD´s parameter f_3dB and the standard frequency deviation f_d of phase noise probability density function (PDF), and the relationship between phase noise variance σ_φ² and f_d. Analytical BER results closely match with simulation results of the OFDM communication system using QPSK and 16QAM modulation format. The performance of OFDM system is evaluated when the bandwidth B_s=10 MHz and phase noise is included. When the standard frequency deviation f_d are 5 Hz, 8 Hz. and 12 Hz, the SNR to meet the BER=10^-4 in AWGN channel experiences the power penalty by about 0.6 dB, 1.0 dB and 1.7 dB in the QPSK scheme and about 1.9 dB, 3.2 dB and 67 dB in 16QAM modulation than the OFDM communication system without phase noise. Furthermore, the BER performance of the QPSK-OFDM communication system is considerably degraded because of the BER error floor if the phase noise standard frequency deviation f_d becomes greater than 30 Hz.