Self-Calibration for the Time Difference of Arrival Positioning

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...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Juri Sidorenko [verfasserIn] Volker Schatz [verfasserIn] Dimitri Bulatov [verfasserIn] Norbert Scherer-Negenborn [verfasserIn] Michael Arens [verfasserIn] Urs Hugentobler [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	dimension lifting self-calibration time-difference-of-arrival (TDOA)

Übergeordnetes Werk:	In: Sensors - MDPI AG, 2003, 20(2020), 7, p 2079
Übergeordnetes Werk:	volume:20 ; year:2020 ; number:7, p 2079

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/s20072079

Katalog-ID:	DOAJ032667027

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520			\|a 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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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.
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allfieldsGer	10.3390/s20072079 doi (DE-627)DOAJ032667027 (DE-599)DOAJ341360b1884a4dcbbd4d86507bb9c08a DE-627 ger DE-627 rakwb eng TP1-1185 Juri Sidorenko verfasserin aut Self-Calibration for the Time Difference of Arrival Positioning 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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. dimension lifting self-calibration time-difference-of-arrival (TDOA) Chemical technology Volker Schatz verfasserin aut Dimitri Bulatov verfasserin aut Norbert Scherer-Negenborn verfasserin aut Michael Arens verfasserin aut Urs Hugentobler verfasserin aut In Sensors MDPI AG, 2003 20(2020), 7, p 2079 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:20 year:2020 number:7, p 2079 https://doi.org/10.3390/s20072079 kostenfrei https://doaj.org/article/341360b1884a4dcbbd4d86507bb9c08a kostenfrei https://www.mdpi.com/1424-8220/20/7/2079 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2020 7, p 2079
allfieldsSound	10.3390/s20072079 doi (DE-627)DOAJ032667027 (DE-599)DOAJ341360b1884a4dcbbd4d86507bb9c08a DE-627 ger DE-627 rakwb eng TP1-1185 Juri Sidorenko verfasserin aut Self-Calibration for the Time Difference of Arrival Positioning 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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. dimension lifting self-calibration time-difference-of-arrival (TDOA) Chemical technology Volker Schatz verfasserin aut Dimitri Bulatov verfasserin aut Norbert Scherer-Negenborn verfasserin aut Michael Arens verfasserin aut Urs Hugentobler verfasserin aut In Sensors MDPI AG, 2003 20(2020), 7, p 2079 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:20 year:2020 number:7, p 2079 https://doi.org/10.3390/s20072079 kostenfrei https://doaj.org/article/341360b1884a4dcbbd4d86507bb9c08a kostenfrei https://www.mdpi.com/1424-8220/20/7/2079 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 20 2020 7, p 2079
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authorswithroles_txt_mv	Juri Sidorenko @@aut@@ Volker Schatz @@aut@@ Dimitri Bulatov @@aut@@ Norbert Scherer-Negenborn @@aut@@ Michael Arens @@aut@@ Urs Hugentobler @@aut@@
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callnumber-first	T - Technology
author	Juri Sidorenko
spellingShingle	Juri Sidorenko misc TP1-1185 misc dimension lifting misc self-calibration misc time-difference-of-arrival (TDOA) misc Chemical technology Self-Calibration for the Time Difference of Arrival Positioning
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topic_title	TP1-1185 Self-Calibration for the Time Difference of Arrival Positioning dimension lifting self-calibration time-difference-of-arrival (TDOA)
topic	misc TP1-1185 misc dimension lifting misc self-calibration misc time-difference-of-arrival (TDOA) misc Chemical technology
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title	Self-Calibration for the Time Difference of Arrival Positioning
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title_sort	self-calibration for the time difference of arrival positioning
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title_auth	Self-Calibration for the Time Difference of Arrival Positioning
abstract	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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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.
abstractGer	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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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.
abstract_unstemmed	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 <inline-formula< <math display="inline"< <semantics< <msup< <mi<l</mi< <mn<2</mn< </msup< </semantics< </math< </inline-formula< 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.
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title_short	Self-Calibration for the Time Difference of Arrival Positioning
url	https://doi.org/10.3390/s20072079 https://doaj.org/article/341360b1884a4dcbbd4d86507bb9c08a https://www.mdpi.com/1424-8220/20/7/2079 https://doaj.org/toc/1424-8220
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Self-Calibration for the Time Difference of Arrival Positioning

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