Sensor Networks TDOA Self-Calibration : 2D Complexity Analysis and Solutions

Ferranti, Luca; Åström, Kalle; Oskarsson, Magnus; Boutellier, Jani; Kannala, Juho (2021-05-13)
 
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https://doi.org/10.1109/ICASSP39728.2021.9414634

Ferranti, Luca
Åström, Kalle
Oskarsson, Magnus
Boutellier, Jani
Kannala, Juho
IEEE
13.05.2021
doi:10.1109/ICASSP39728.2021.9414634
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https://urn.fi/URN:NBN:fi-fe202201132102

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This work was partially funded by the Academy of Finland project 327912 REPEAT.
Tiivistelmä
Given a network of receivers and transmitters, the process of determining their positions from measured pseudoranges is known as network self-calibration. In this paper we consider 2D networks with synchronized receivers but unsynchronized transmitters and the corresponding calibration techniques, known as Time-Difference-Of-Arrival (TDOA) techniques. Despite previous work, TDOA self-calibration is computationally challenging. Iterative algorithms are very sensitive to the initialization, causing convergence issues. In this paper, we present a novel approach, which gives an algebraic solution to two previously unsolved scenarios. We also demonstrate that our solvers produce an excellent initial value for non-linear optimisation algorithms, leading to a full pipeline robust to noise.
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