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Open AccessArticle

Self-Calibration for the Time Difference of Arrival Positioning

Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, Germany
Institute of Astronomical and Physical Geodesy, Technical University of Munich, 80333 München, Germany
Author to whom correspondence should be addressed.
Current address: Object Recognition (OBJ), Gutleuthausstraße 1, 76275 Ettlingen, Germany.
Sensors 2020, 20(7), 2079;
Received: 13 February 2020 / Revised: 25 March 2020 / Accepted: 2 April 2020 / Published: 7 April 2020
(This article belongs to the Section Intelligent Sensors)
The time-difference-of-arrival (TDOA) self-calibration is an important topic for many applications, such as indoor navigation. One of the most common methods is to perform nonlinear optimization. Unfortunately, optimization often gets stuck in a local minimum. Here, we propose a method of dimension lifting by adding an additional variable into the l 2 norm of the objective function. Next to the usual numerical optimization, a partially-analytical method is suggested, which overdetermines the system of equations proportionally to the number of measurements. The effect of dimension lifting on the TDOA self-calibration is verified by experiments with synthetic and real measurements. In both cases, self-calibration is performed for two very common and often combined localization systems, the DecaWave Ultra-Wideband (UWB) and the Abatec Local Position Measurement (LPM) system. The results show that our approach significantly reduces the risk of becoming trapped in a local minimum. View Full-Text
Keywords: dimension lifting; self-calibration; time-difference-of-arrival (TDOA) dimension lifting; self-calibration; time-difference-of-arrival (TDOA)
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MDPI and ACS Style

Sidorenko, J.; Schatz, V.; Bulatov, D.; Scherer-Negenborn, N.; Arens, M.; Hugentobler, U. Self-Calibration for the Time Difference of Arrival Positioning. Sensors 2020, 20, 2079.

AMA Style

Sidorenko J, Schatz V, Bulatov D, Scherer-Negenborn N, Arens M, Hugentobler U. Self-Calibration for the Time Difference of Arrival Positioning. Sensors. 2020; 20(7):2079.

Chicago/Turabian Style

Sidorenko, Juri; Schatz, Volker; Bulatov, Dimitri; Scherer-Negenborn, Norbert; Arens, Michael; Hugentobler, Urs. 2020. "Self-Calibration for the Time Difference of Arrival Positioning" Sensors 20, no. 7: 2079.

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