Effect of timing and frequency synchronization errors on GFDM systems

This paper demonstrates the effect of timing offset and carrier frequency offset (CFO) on generalized frequency division multiplexing (GFDM) systems. We provide the mathematical expressions of the received GFDM signals in condense form in the presence of timing offset and CFO using linear matrix models respectively. Furthermore, we compare the signal-to-interference ratio (SIR) performance between GFDM and orthogonal frequency division multiplexing (OFDM) systems when there are timing and frequency errors. From our simulations, we realize that there are different effects of offsets between GFDM and OFDM systems, and thus we need to make a careful consideration in choosing a suitable modulation scheme for the fifth generation (5G) networks.