Performance of PSA-EKF Phase Noise Compensation in 3GPP Phase Noise Models for Mobile Backhaul Links

The time-varying phase noise (PN) due to a local oscillator of a base station and a set of user equipment (UE) is a major impairment to the backhaul and access links employing millimeter-wave bands. This paper presents the bit error rate (BER) performance of a pilot symbol assisted (PSA)-extended Kalman filter (EKF) phase noise compensation (PNC) method that combines PSA PNC in the time domain and iterative PNC using the EKF in the 3rd Generation Partnership Project (3GPP) PN model for orthogonal frequency division multiplexing (OFDM) backhaul links. We first derive the discrete-time transfer function of the power spectral density based on the z-transform for time-domain 3GPP PN signal generation employing a small number of low-pass filter taps, and show the validity of the generated PN signal based on a comparison to the continuous-time transfer function that is specified by the 3GPP Technical Report. We then show that when using PSA-EKF PNC with a low-density parity-check (LDPC) code and the coding rate of 8/9, the loss in the required received signal-to-noise ratio (SNR) satisfying the BER of 10-8 in 3GPP PN Models 1 and 2 compared to that without PN is only approximately 2.3 dB and 0.6 dB, respectively.