Minimizing positioning error through strategic LED arrangement: circular layout superiority in ANN-based VLP.

Abstract

This research introduces a fingerprint-based artificial neural network approach for visible light positioning systems. The study evaluates four different light emitting diode (LED) configurations-square, rectangular, triangular, and circular-within a 5m×5m×3m indoor environment to determine which arrangement delivers the highest positioning accuracy. The analysis employs a receiver moving in a circular path within the receiver plane for the estimation of positioning accuracy across the entire trajectory. Comprehensive simulation results, including the cumulative distribution function, frequency distribution of positioning errors, and error magnitudes at different receiver locations, demonstrate that the mean positioning errors (in centimeters) are 15.2893, 12.4548, 52.5016, and 9.8749 for square, rectangular, triangular, and circular configurations, respectively. The findings indicate that the circular arrangement yields superior performance with minimal positioning error. This configuration creates consistent signal strength gradients across all directions, eliminating potential "dead zones" and maximizing line-of-sight connections between LEDs and the receiver regardless of position. The superior performance of the circular configuration underscores the significant impact of geometric arrangement on positioning accuracy, even when utilizing identical numbers of LEDs and signal processing techniques.