SER analysis by Gaussian interference approximation for FBMC system in the presence of phase error

In this paper we study the effect of the FBMC intrinsic interference on the error rate performance in the presence of a phase error. We focus our study on the symbol error rate (SER) performance in additive white Gaussian noise (AWGN) channel, and we derive the SER performance expressions for any 2^m-PAM (pulse amplitude modulation) data mapping and a phase error φ. The SER performance also depends on the probability distribution of the interference term. Since the intrinsic interference is generated from the transmitted data symbols, the probability distribution of the interference is related to the data symbol mapping. We suggest to approximate the interference probability distribution to Gaussian one for the high order constellations, and simplify the analytical expression of the SER performance. The analytical expressions developed in the paper are checked and confirmed by numerical simulations. We will show in the paper that the performance curves obtained by simulation and theoretical analysis are the same for high order constellation where the approximation of the interference to the Gaussian one is suitable.