Error modeling and analysis on wind speed and direction for 2 μm space based coherent Doppler LIDAR

Based on the total differential and statistical theory, the analytical expressions of the synthesis horizontal wind speed and direction error are derived. Using Cramer-Rao lower bound instead of Frehlich's empirical formula, the random wind errors are evaluated, and then a universal horizontal wind speed and direction error calculation modeling is established. Based on the design framework proposed by NASA / NOAA, a combination of simulation parameters is selected for the feasibility analysis of the error modeling. The Changing relation of the total radial random error and the detect range and the horizontal wind range is drawn. Meanwhile, in order to calculate the sampling error, a combination of vertical resolutions and orientation angles is chosen for comparative analysis. The results show that by using this mode the synthesis horizontal wind speed and direction errors are in the range of 0.8 ~ 3.2 m/s and 2.38 ° ~ 3.49 ° respectively, basically in line with relevant requirement indicators.