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.
Keywords
Ground based photoelectric tracking and measuring devices Error analysis of angle measurement error Coordinate transformation Monte Carlo methodReferences
- 1.Wang JQ (2003) Integrated design of optical instruments. Master thesis of Changchun institute of optics fine mechanics and physics, ChangchunGoogle Scholar
- 2.Du JF, Li ZZ (2002) Analysis of the axial accuracy of the GD-220 photoelectric theodolite. Optics Precis Eng 10(4):416–419MathSciNetGoogle Scholar
- 3.Li H, Shen XH (2008) New shafting error simulating method of photoelectric theodolite. Infrared Laser Eng 37(2):334–337Google Scholar
- 4.Du JF, Zhang MW, Zhang XM (2012) Angle measurement accuracy of photoelectric theodolite. J Appl Optics 33(3):466–473Google Scholar
- 5.Wang JQ, Jin G, Yan CX (2005) Orientation error analysis of airborne opto-electric tracking and measuring device. Optics Precis Eng 13(2):105–116Google Scholar
- 6.Wang F, Jia T, Zhang CL (2009) Dynamic correction of target deviations for photoelectric theodolites by coordinate transform. Optics Precis Eng 17(12):2939–2944Google Scholar
- 7.Wang T, Tang J, Song LW (2010) Correction of the measuring error of vehicular photoelectric theodolite. Infrared and laser engineering 41(5):1335–1338Google Scholar
- 8.Li WC (2010) Analysis of angle measurement accuracy based on vehicle photoelectric theodolites. Master thesis of Changchun institute of optics fine mechanics and physics, ChangchunGoogle Scholar