A generalized formulation of signal on each pixel for a wind detection lidar based on Fizeau interferometer and CCD is derived. System parameters is optimized through numerical simulation. System wind error is below 0.16m/s at the altitude from 0 to 3 kilometers. Least square fitting method and gravity method are used to retrieve wind velocity. The analysis shows that least square fitting method can only be used when the velocity is small. Gravity method is analyzed and the method error is corrected by a new method. After correcting,the error due to the method is below 0.25m/s at the range of wind velocity from－30m/s to 30 m/s.