Constrained weighted least Squares location algorithm using Received Signal Strength measurements

2016 ◽  
Vol 13 (4) ◽  
pp. 81-88 ◽  
Author(s):  
Zeyuan Li
Keyword(s):  
Least Squares ◽  
Weighted Least Squares ◽  
Signal Strength ◽  
Received Signal Strength ◽  
Location Algorithm

scholarly journals Visible Light Positioning with Multiple Transmitters and Multiple Receiving Sensors

2021 ◽  
Author(s):  
Muhammad Salman Bashir
Keyword(s):  
Visible Light ◽  
Least Squares ◽  
Unbiased Estimator ◽  
Communication Systems ◽  
Weighted Least Squares ◽  
Signal Strength ◽  
Received Signal Strength ◽  
Best Linear Unbiased Estimator ◽  
Positioning Systems ◽  
Best Linear Unbiased

Visible light communications (VLC) based positioning systems will form an important part of the future generation wireless communication systems because they offer higher accuracy for indoor positioning as compared to radio frequency based systems. In this paper, we have used non Bayesian statistical signal processing techniques for the hybrid time-of-arrival/received-signal-strength and hybrid time-difference-of-arrival/received-signal-strength based positioning. These hybrid measurements are combined with the following fusion algorithms: weighted least squares and the best linear unbiased estimator. These two fusion algorithms are compared in terms of the mean Euclidean error as a function of various parameters such as signal-to-noise ratio, transmitter arrangement and synchronization error. Even though the performance of the weighted least squares algorithm is better, the best linear unbiased estimator is still an attractive algorithm for systems that require a lower complexity.

scholarly journals An Analysis of the Impact of LED Tilt on Visible Light Positioning Accuracy

Electronics ◽  
2019 ◽  
Vol 8 (4) ◽  
pp. 389 ◽  
Author(s):  
David Plets ◽  
Sander Bastiaens ◽  
Luc Martens ◽  
Wout Joseph
Keyword(s):  
Monte Carlo ◽  
Visible Light ◽  
Least Squares ◽  
Simulation Study ◽  
Light Emitting Diodes ◽  
Signal Strength ◽  
Received Signal Strength ◽  
Positioning Accuracy ◽  
Light Emitting ◽  
The Impact

Whereas the impact of photodiode noise and reflections is heavily studied in Visible Light Positioning (VLP), an often underestimated deterioration of VLP accuracy is caused by tilt of the Light Emitting Diodes (LEDs). Small LED tilts may be hard to avoid and can have a significant impact on the claimed centimeter-accuracy of VLP systems. This paper presents a Monte-Carlo-based simulation study of the impact of LED tilt on the accuracy of Received Signal Strength (RSS)-based VLP for different localization approaches. Results show that trilateration performs worse than (normalized) Least Squares algorithms, but mainly outside the LED square. Moreover, depending on inter-LED distance and LED height, median tilt-induced errors are in the range between 1 and 6 cm for small LED tilts, with errors scaling linearly with the LED tilt severity. Two methods are proposed to estimate and correct for LED tilts and their performance is compared.

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