The invention provides a signal receiver. The signal receiver comprises a code removal module, a carrier removal module, a Fast Fourier Transformation (FFT) module, and a signal processor. The code removal module removes a pseudo random noise code from a first signal to obtain a second signal. The carrier removal module generates a carrier signal with a frequency of an estimated carrier frequency, generates at least one delta carrier signal with a frequency of the carrier frequency plus a delta frequency, removes the carrier signal from the second signal to obtain a third signal, and removes the delta carrier signal from the second signal to obtain a fourth signal. The FFT module derives a series of first FFT values from the third signal, and derives a series of second FFT values from the fourth signal. The signal processor estimates the carrier frequency of the second signal to obtain the estimated carrier frequency, determines the delta frequency for the carrier removal module, estimates a residual Doppler frequency of the third signal according to both the first FFT values and the second FFT values, and adjusts the estimated carrier frequency according to the residual Doppler frequency to eliminate distortion from residual Doppler effects from the third signal. The delta frequency is lower than a frequency resolution of the FFT module.