Abstract

In recent years, several indoor positioning systems have been extensively studied for environments where a satellite signal is typically degraded and interrupted. Among them, visible light positioning (VLP), which has several advantages such as the absence of electromagnetic interference, energy efficiency, and high bandwidth availability, has received considerable attention. However, most VLP systems are established based on two-dimensional (2D) positioning methods in which the height of the receiver is fixed or restricted and the tilt of the receiver is not considered. To solve these problems, we propose a new positioning method that can be applied to three-dimensional (3D) space. We first formulate a new mathematical model for a 3D VLC positioning system and derive the channel gain as a function of source and receiver location in Cartesian coordinates. By employing the cost function developed using the induced channel gain, we demonstrate that the proposed 3D method is more accurate compared to the 2D method in experiments. The quantitative results show an average error of 7.95 cm, in a 2.5 m × 2.5 m × 3 m region.

Highlights

  • In recent years, several studies have focused on position estimation in indoor environments, where a satellite signal is typically degraded and interrupted

  • In this paper, we presented a new visible light communication (VLC)-based positioning method in 3D space that considers the tilt of the receiver, which has not been sufficiently studied previously

  • The simulation results indicated that our work contains the lowest errors compared to other recent 2D and 3D positioning methods

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Summary

INTRODUCTION

Several studies have focused on position estimation in indoor environments, where a satellite signal is typically degraded and interrupted. It is not easy to address the technical problems originating from short transmission distances, multipath effects, low accuracies, various signal interferences, and high design costs To overcome these challenges, positioning systems based on visible light communication (VLC) have been studied. D. Kim et al.: Three-Dimensional VLC Positioning System Model and Method Considering Receiver Tilt TABLE 1. VLP algorithms use Lambertian radiation to estimate the position of the receiver using the channel gain or RSS from a specific LED. The proposed method only uses the optical channel gain and receiver tilt angle information, that is, no additional. 1) OPTICAL MODEL In a VLC indoor positioning system, a light source (LED) is considered to be the known reference point, and the RSS method, which uses the DC gain of the optical signal at the PD, is generally applied.

POSITIONING SYSTEM REPRESENTATION IN 3D SPACE
PROPOSED COST FUNCTION DEFINED BY THE DISTANCE RATIO
EFFECT OF THE Z -AXIS ON POSITION ESTIMATION
CONCLUSION
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