The Fourier shear interferometry(FSI)based on the lateral shearing interferometer(LSI)is studied. The frequency distribution of the fringes in the Fourier domain is analysed. Meanwhile,the influence of the filter's bandwidths(a=5,6,9,11)on the reconstructed results is also discussed. The numerical simulation results demonstrate that the bandwidth of filter should be narrowed suitably when the turbulent effect is strengthened for the improvement of the FSI.