Analysis of Timing and Frequency Offsets on OFDM Systems for Fractional Sampling Rate

Timing and frequency off sets are caused by imperfect synchronization at the receiver. These errors degrade the performance of OFDM systems by introducing inter-carrier-interference (ICI) and intersymbol-interference (ISI). In this paper, we derive signal-to-interference ratio (SIR) analytically with timing and frequency off sets for the case that the sampling rate of analog-to-digital converter (ADC) in OFDM receiver is an integer fraction of the signal bandwidth. We find the exact form of interference power as a function of the fractional sampling rate. Our derived analysis is confirmed by simulations and can be applied to see the exact performance of OFDM systems with fractional sampling rate.