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Article

Self-Calibration for the Time Difference of Arrival Positioning

1
Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, Germany
2
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; https://doi.org/10.3390/s20072079
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. https://doi.org/10.3390/s20072079

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. https://doi.org/10.3390/s20072079

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. https://doi.org/10.3390/s20072079

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