Optimal receiver filter for GFDM with timing and frequency offsets in uplink multiuser systems

In uplink multiuser systems, different timing offset (TO) and carrier frequency offset (CFO) of different users cause multiuser interference (MUI) to desired user. In this paper, we propose an optimal receiver filter for uplink transmission with generalized frequency division multiplexing (GFDM) when TO and CFO of different users exist. Proposed optimal receiver filter maximizes signal-to-interference ratio (SIR) of desired user with TO and CFO in Rayleigh channel. Based on SIR expression derived in closed form in the presence of TO and CFO, we obtain the optimal receiver filter by solving Rayleigh quotient problem. We show from the simulation that the proposed receiver filter effectively eliminates MUI caused by TO within cyclic prefix range and CFO compared to the conventional zero-forcing filter.