An Improved Gibbs Sampling Beidou Satellite Selection Method

Abstract

The invention discloses an improved-Gibbs-sampling-based Beidou satellite selection method comprising the following steps: calculating an azimuth and an elevation angle of a Beidou visible satellite at a monitoring point to obtain state matrixes of n Beidou satellite, and using a GDOP value as an objective function of Beidou satellite selection; and on the basis of an optimized Gibbs sampling algorithm, searching for a Beidou satellite combination enabling the objective function value to be optimized to obtain an optimal solution. On the basis of the adaptive sweeping type improvement strategy, a phenomenon of falling into the local optimization of the algorithm is avoided and convergence to the optimal Beidou satellite selection scheme is realized well. According to the invention, the optimized Gibbs sampling algorithm is applied to the Beidou satellite selection process and the inherent advantages, including low complexity, fast convergence speed and good performance of the Gibbs sampling algorithm are utilized fully, so that the quality and efficiency of the Beidou satellite selection are improved effectively. The improved-Gibbs-sampling-based Beidou satellite selection method has the broad application prospects.

Description

technical field [0001] The invention belongs to the field of Beidou satellite navigation and positioning, in particular to an improved Gibbs sampling Beidou satellite selection method. Background technique [0002] In various applications of Beidou satellite navigation and positioning, in order to ensure the positioning accuracy, it is necessary to select suitable n (n≥4) Beidou satellites from multiple observable Beidou satellites for calculation. It is found from the research that when the observation error is constant, the difference in the geometric relationship between the observation location and the n Beidou satellites participating in the positioning will directly affect the positioning error. The final solution result of the navigation Beidou satellite positioning equation can be expressed as: [0003] ΔX=GDOP·Δρ (1) [0004] In formula (1), ΔX is the position error, Δρ is the observation error, and GDOP (geometrical dilution of precision) is the geometrical preci...

AI Technical Summary

Problems solved by technology

The traditional traversal star selection algorithm traverses all Beidou satellite combinations and selects the n Beidou satellites with the smallest GDOP value as the best combination. This algorithm has the highest positioning accuracy, but it has a large amount of calculation and poor real-time performance, so it is difficult to apply to high dynamic to observe

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