A low rate of signal element transmissions in a communication system and a low SNR at the receiving side results in a normalized large frequency offset. To address this problem, the paper compares the performance from the aspect of the computational complexity, stability, noise immunity, and estimation accuracy. The performance is evaluated under different carrier frequency synchronization algorithms. Meanwhile, this paper proposes an approach to conduct wide-range frequency offset estimation for frequency rough synchronization by FFT operation. Its estimation accuracy and estimation range are better than the conventional carrier frequency synchronization algorithm.