Abstract
In order to study the influence of snowfall on quantum positioning system, according to snowflake model and Mie scattering theory, the extinction coefficient of snowflake is defined, and the relationship between signal attenuation, snowfall intensity and transmission distance of quantum positioning system under different zenith angles is established. The mathematical models of positioning error, snowfall intensity and transmission distance are established through the opening angle of two quantum satellite baselines relative to users. The simulation results show that the signal of quantum positioning system attenuates with the increase of snowfall intensity and zenith angle, and the positioning error increases with the increase of snowfall intensity. Properly adjusting the opening angle can reduce the positioning error of users. Finally, the mathematical model between snowfall intensity, transmission distance and channel fidelity are established. The simulation results show that the minimum fidelity is not less than 0.9, which provides a theoretical basis for the impact of snow on quantum satellite positioning system. Therefore, in order to improve the reliability of quantum positioning system, the parameters of quantum satellite positioning system should be adjusted adaptively according to the relevant parameters of snowfall.
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