We propose a realistic 3D positioning system for indoor navigation that exploits visible Light Emitting Diodes (LEDs), placed on the ceiling. A unique frequency tone is assigned to each lamp and modulates its intensity in periodic time slots. The Time Difference of Arrival (TDOA) is measured without the need of a synchronization system between the sources and the receiver, then it is used to accurately estimate the receiver position. We first describe the theoretical approach, then propose the model and characterize the possible sources of noise. Finally, we demonstrate the proof-of-concept of the proposed system by simulation of lightwave propagation. Namely, we assess its performance by using Montecarlo simulations in a common room and estimate the impact of the different implementation parameters on the accuracy of the proposed solution. We find that, in realistic conditions, the technique allows for centimeter precision. Pushing the device requirements, the precision can be further increased to a sub-centimeter accuracy.

我们提出了一种用于室内导航的逼真的 3D 定位系统，该系统利用放置在天花板上的可见发光二极管 (LED)。为每个灯分配一个独特的频率音调，并在周期性时隙中调制其强度。到达时间差 (TDOA) 的测量不需要源和接收器之间的同步系统，然后用于准确估计接收器位置。我们首先描述理论方法，然后提出模型并描述可能的噪声源。最后，我们通过模拟光波传播来证明所提出系统的概念验证。也就是说，我们通过在公共房间中使用蒙特卡罗模拟来评估其性能，并估计不同实现参数对所提出解决方案的准确性的影响。我们发现，在现实条件下，该技术允许厘米精度。推动器件要求，精度可以进一步提高到亚厘米精度。