Comprehensive assessment algorithm for calculating CEP of positioning accuracy |
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Affiliation: | 1. Department of Mathematics, Information and Aviation Technology, Ulyanovsk State University, Str. L. Tolstoy 42, Ulyanovsk 432017, Russian Federation;2. CEMAT (Center for Computational and Stochastic Mathematics), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, Lisboa 1049-001, Portugal;3. Department of Mathematics, Physics and Technology Education, Ulyanovsk State University of Education, Lenin square, 4/5, Ulyanovsk 432071, Russian Federation |
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Abstract: | This study aims to evaluate the inertial navigation systems’ performance. To this end, we comprehensively investigate 12 methods for calculating the circular error probability (CEP). Using data processing techniques, we classify these methods into three categories: parameterization of one-dimensional variables, computation of bi-normal random variables, and numerical integration. From these methods, we develop algorithms and programs, which are subsequently applied in evaluating the positioning accuracy of navigation systems. Using the algorithms and programs, we perform simulations to evaluate applicability and evaluation accuracy under the same initial conditions. Practical test data are employed to validate the results. Using the comparison of the methods as bases, we put forward a comprehensive practical method regarding sample number and evaluation accuracy. Our results serve as a theoretical reference for the development of different approaches to assessing inertial positioning accuracy in accordance with applicable standards. |
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Keywords: | Inertial navigation system Circular error probability Precision evaluation Numerical integration Chi-square distribution |
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