Abstract
This letter presents an efficient algorithm for estimating the three-dimensional (3D) location of a photodiode (PD) receiver via visible light positioning. It solely works on measured powers from different light-emitting diode (LED) sources and does not require any prior knowledge of the PD receiver height. It is found that four LEDs are required that are not on the same circle, in order to unambiguously determine the 3D location. The algorithm is optimized towards a minimized calculation time in view of real-time operation on energy-constrained lightweight and mobile devices such as drones.
Highlights
The advent of light-emitting diodes (LEDs) has sparked a large research interest in visible light positioning (VLP), whereby the location of a photodiode (PD) receiver is being estimated based on its received powers from different LEDs
The algorithm performance is first evaluated for the LED configurations denoted as CFG1 to 4 in table 1
After showing the proper operation of the 3D trilateration algorithm, we investigate the performance when Gaussian noise with a standard deviation of 1 nW is added to the idealized PRi values of (1)
Summary
The advent of light-emitting diodes (LEDs) has sparked a large research interest in visible light positioning (VLP), whereby the location of a photodiode (PD) receiver is being estimated based on its received powers from different LEDs. For many applications, the PD is expected to maintain a fixed and known height, reducing the localization problem to a twodimensional (2D) problem. The PD is expected to maintain a fixed and known height, reducing the localization problem to a twodimensional (2D) problem This is either solved via (manual or model-based) fingerprinting maps or via a classic trilateration method.
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