Asymptotic performance of FBMC-PAM systems in frequency-selective Rayleigh fading channels

Abstract

This paper deals with the performance analysis of the recently introduced FBMC-PAM system, a multicarrier scheme that represents a promising alternative to OFDM to meet the requirements of cognitive radio or machine type communications. An analytical expression of the symbol error-rate (SER) of the single-tap sub-channel (SC) equalizer designed as the inverse of the complex gain that multiplies the symbol of interest at the output of the filter matched to each subcarrier, is derived. Specifically, an asymptotic (i.e., for a large number of subcarriers) analytical expression of the SER of the SC receiver operating in frequency-selective Rayleigh fading channel is obtained and compared via simulation results. Moreover, a simple approximate closed-form expression of the asymptotic SER of the SC receiver is obtained by taking into account, for each active subcarrier, only inter-symbol interference (ISI) terms due to the considered subcarrier and adjacent subcarriers, and, moreover, inter-carrier interference (ICI) terms due to adjacent subcarriers.