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...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-04-01
|
| Series: | Sensors |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1424-8220/20/7/2079 |
| _version_ | 1797571244732710912 |
|---|---|
| author | Juri Sidorenko Volker Schatz Dimitri Bulatov Norbert Scherer-Negenborn Michael Arens Urs Hugentobler |
| author_facet | Juri Sidorenko Volker Schatz Dimitri Bulatov Norbert Scherer-Negenborn Michael Arens Urs Hugentobler |
| author_sort | Juri Sidorenko |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:36:36Z |
| format | Article |
| id | doaj.art-341360b1884a4dcbbd4d86507bb9c08a |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T20:36:36Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-341360b1884a4dcbbd4d86507bb9c08a2023-11-19T20:56:52ZengMDPI AGSensors1424-82202020-04-01207207910.3390/s20072079Self-Calibration for the Time Difference of Arrival PositioningJuri Sidorenko0Volker Schatz1Dimitri Bulatov2Norbert Scherer-Negenborn3Michael Arens4Urs Hugentobler5Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, GermanyFraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, GermanyFraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, GermanyFraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, GermanyFraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, 76275 Ettlingen, GermanyInstitute of Astronomical and Physical Geodesy, Technical University of Munich, 80333 München, GermanyThe 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.https://www.mdpi.com/1424-8220/20/7/2079dimension liftingself-calibrationtime-difference-of-arrival (TDOA) |
| spellingShingle | Juri Sidorenko Volker Schatz Dimitri Bulatov Norbert Scherer-Negenborn Michael Arens Urs Hugentobler Self-Calibration for the Time Difference of Arrival Positioning Sensors dimension lifting self-calibration time-difference-of-arrival (TDOA) |
| title | Self-Calibration for the Time Difference of Arrival Positioning |
| title_full | Self-Calibration for the Time Difference of Arrival Positioning |
| title_fullStr | Self-Calibration for the Time Difference of Arrival Positioning |
| title_full_unstemmed | Self-Calibration for the Time Difference of Arrival Positioning |
| title_short | Self-Calibration for the Time Difference of Arrival Positioning |
| title_sort | self calibration for the time difference of arrival positioning |
| topic | dimension lifting self-calibration time-difference-of-arrival (TDOA) |
| url | https://www.mdpi.com/1424-8220/20/7/2079 |
| work_keys_str_mv | AT jurisidorenko selfcalibrationforthetimedifferenceofarrivalpositioning AT volkerschatz selfcalibrationforthetimedifferenceofarrivalpositioning AT dimitribulatov selfcalibrationforthetimedifferenceofarrivalpositioning AT norbertscherernegenborn selfcalibrationforthetimedifferenceofarrivalpositioning AT michaelarens selfcalibrationforthetimedifferenceofarrivalpositioning AT urshugentobler selfcalibrationforthetimedifferenceofarrivalpositioning |