For the problems of spectrum leakage and fence effect in laser Doppler signal solution,The Hanning Self-Convolution Window(HSCW) and the All-Phase Spectrum Analysis(apFFT) with better performance are applied to the Short-Time Fourier Transform(STFT) of the Doppler signal.The obtained spectrum is corrected by the double-spectrum lines method.The theory and simulation show that the double Hanning self-convolution window(HSCW) apFFT can suppress the side spectrum leakage more than the traditional apFFT,and the spectral position and amplitude provided by the double HSCW window apFFT can better satisfy this method for frequency correction compared to the traditional FFT.By applying this algorithm to the calibration system of the acceleration sensor under high impact,the measured results show that the error between the algorithm and the standard sensor is about 1 %.