In order to improve the indoor positioning accuracy and realize three-dimensional positioning

this paper proposes an indoor reverse positioning system using a single Light Emitting Diode（LED） lamp. This positioning system solves the problem of interference in positioning by using multiple LED light sources. The system takes the white LED light used by people in daily life as the light source

which is not only consistent with the actual situation

but also convenient for future promotion. The system estimates the distance according to the illuminance received by the receiver

and fits the optimal regression curve with the minimum residual sum of squares as the objective function. Then we use the triangulation principle and the spatial geometric relationship to determine the receiver coordinates. The experimental results show that the positioning system can realize accurate indoor positioning service in practical application scenarios.