| Citation: | ZHOU Longjian, LUO Jingqing. A passive location algorithm based on TDOA and FDOA of dual-satellite in the condition of unfiled rank[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10): 2040-2046. doi: 10.13700/j.bh.1001-5965.2016.0811(in Chinese)
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To solve the problem that the position vector of the first satellite, the position difference vector between dual satellites and the speed difference vector between dual satellites are coplanar when the fixed emitter with known altitude is located by dual satellites using time difference of arrival (TDOA) and frequency difference of arrival (FDOA), an analytic solution in three-dimensional spaces was proposed. The condition for no solution is only that the two position vectors and two speed vectors of dual satellites are collinear. The paper analyzes the two conditions of both coplanar but non-collinear and collinear. The analytic solutions of different conditions are given. The problem of location can be simplified into solving quadratic equation with one unknown when the position vectors of dual satellites are collinear, which alleviates the complexity of the problem solving and reduces the computational complexity. Besides, the positioning accuracy is enhanced in nadir point of dual satellites when the three vectors are coplanar. The algorithm was proved useful by simulation experiments.
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