A communications apparatus is provided. A receiving module receives a signal with a predetermined signal bandwidth. A low pass filter filters the signal to obtain a filtered signal. A filter bandwidth of the low pass filter is wide enough to pass the regular sub-carrier frequency components and at least half of the guard sub-carrier frequency components of the signal. An analog to digital converter samples the filtered signal with a sampling rate exceeding a standard sampling rate defined in accordance with the predetermined signal bandwidth of the signal to obtain a plurality of digital samples. A Fast Fourier Transform module performs a fast Fourier transform on a predetermined number of points of the digital samples to obtain a plurality of transformed samples. The predetermined number exceeds a standard number defined in accordance with the predetermined carrier bandwidth. A sub-carrier collector collects the data from the transformed samples.