The invention provides a method for frequency offset estimation according to a filtered signal with destroyed phase information. In one embodiment, a filter filters an original signal according to a series of first filter coefficients to obtain a first-channel component of the filtered signal, and filters the original signal according to a series of second filter coefficients to obtain a second-channel component of the filtered signal. A series of third filter coefficients are first derived from the first filter coefficients. The original signal is then filtered according to the third filter coefficients to obtain a reference signal. A first frequency offset value is estimated according to the first-channel component of the filtered signal and the reference signal, wherein the first-channel component of the filtered signal is a first-channel component of an artificial signal, and the reference signal is a second-channel component of the artificial signal.