Error Analysis of Angle Measurement for Ground Based Photoelectric Tracking and Measuring Devices

Abstract

Ground based photoelectric tracking and measuring devices are important in range tests, and angle measurement accuracy is one of the key technical indicators. Therefore, appropriate modeling and analyzing of the angle measurement error of the photoelectric tracking and measuring devices are important for the overall design of such equipments. Traditionally, the angle measurement errors are divided into two categories: angle measurement error of the tracker and detector error. They are usually calculated respectively and then combined using root mean square theory. However, this analysis method does not take into account the interaction between different error terms, and assumes that all the error terms are independent. A theoretical (true value) angle measurement equation and a valuation equation are established, based on the coordinate transformation theory and working process of the ground based photoelectric tracking and measuring devices, in this paper. Then the mean squares of angle measurement errors are obtained using Monte Carlo statistical analysis method. The results indicate that the simulation results and that of traditional methods are almost the same.