Analytical derivation of the SINR for GFDM signals on Rician fading channels with MMSE receiver

This paper investigates generalized frequency division multiplexing (GFDM) systems with minimum mean square error (MMSE) receivers, and the radio channel propagation is modeled with Rician fading. To bridge the gap in the current state-of-the-art of GFDM, the paper uses a Gamma-based approximation to obtain a semi-closed form of the probability density function of the signal-to-interference-plus-noise ratio (SINR). Based on the analytical model of the SINR, the bit error rate, the achievable sum rate, and the outage capacity are calculated analytically. The accuracy of our analysis is corroborated by Monte Carlo simulation assuming different GFDM and channel parameters. The numerical results reveal the impact of the critical system parameters, such as the number of subcarriers, the number of subsymbols, and roll-off factors, on the overall system performance to represent different mobile connectivity scenarios.