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Abstract
Given a sensor network, TDOA self-calibration aims at simultaneously estimating the positions of receivers and transmitters, and transmitters time offsets. This can be formulated as a system of polynomial equations. Due to the elevated number of unknowns and the nonlinearity of the problem, obtaining an accurate solution efficiently is nontrivial. Previous work has shown that iterative algorithms are sensitive to initialization and little noise can lead to failure in convergence. Hence, research has focused on algebraic techniques. Stable and efficient algebraic solvers have been proposed for some network configurations, but they do not work for smaller networks. In this paper, we use homotopy continuation to solve four previously unsolved configurations in 2D TDOA self-calibration, including a minimal one. As a theoretical contribution, we investigate the number of solutions of the new minimal configuration, showing this is much lower than previous estimates. As a more practical contribution, we also present new subminimal solvers, which can be used to achieve unique accurate solutions in previously unsolvable configurations. We demonstrate our solvers are stable both with clean and noisy data, even without nonlinear refinement afterwards. Moreover, we demonstrate the suitability of homotopy continuation for sensor network calibration problems, opening prospects to new applications.
Original language | English |
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Title of host publication | Proceedings of 29th European Signal Processing Conference, EUSIPCO |
Publisher | IEEE |
Pages | 1725-1729 |
Number of pages | 5 |
ISBN (Electronic) | 978-9-0827-9706-0 |
ISBN (Print) | 978-1-6654-0900-1 |
DOIs | |
Publication status | Published - 8 Dec 2021 |
MoE publication type | A4 Article in a conference publication |
Event | European Signal Processing Conference - Dublin, Ireland, Dublin, Ireland Duration: 23 Aug 2021 → 27 Aug 2021 Conference number: 29 |
Publication series
Name | European Signal Processing Conference |
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ISSN (Print) | 2219-5491 |
ISSN (Electronic) | 2076-1465 |
Conference
Conference | European Signal Processing Conference |
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Abbreviated title | EUSIPCO |
Country/Territory | Ireland |
City | Dublin |
Period | 23/08/2021 → 27/08/2021 |
Keywords
- Location awareness
- Transmitters
- Signal processing algorithms
- Europe
- Receivers
- Tools
- Signal processing
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Dive into the research topics of 'Homotopy Continuation for Sensor Networks Self-Calibration'. Together they form a unique fingerprint.Projects
- 1 Finished
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REPEAT: Robust and Efficient PErception for Autonomous Things
Kannala, J., Ye, R., Boney, R., Li, X., Melekhov, I., Fang, J. & Zhang, Y.
01/01/2020 → 30/09/2023
Project: Academy of Finland: Other research funding