Robust Self-calibration of Constant Offset Time-difference-of-arrival
Batstone, K.; Flood, G.; Beleyur, T.; Larsson, V., et al. (2019-05). Robust Self-calibration of Constant Offset Time-difference-of-arrival 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings, 2019-May,, 4410 - 4414. 44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019. Brighton, United Kingdom: IEEE - Institute of Electrical and Electronics Engineers Inc.
Conference Proceeding/Paper
|
Published
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English
Authors:
Batstone, K.
;
Flood, G.
;
Beleyur, T.
;
Larsson, V.
, et al.
Department:
eSSENCE: The e-Science Collaboration
ELLIIT: the Linköping-Lund initiative on IT and mobile communication
Mathematical Imaging Group
Mathematics (Faculty of Engineering)
Research Group:
Mathematical Imaging Group
Abstract:
In this paper we study the problem of estimating receiver and sender positions from time-difference-of-arrival measurements, assuming an unknown constant time-difference-of-arrival offset. This problem is relevant for example for repetitive sound events. In this paper it is shown that there are three minimal cases to the problem. One of these (the five receiver, five sender problem) is of particular importance. A fast solver (with run-time under 4 μs) is given. We show how this solver can be used in robust estimation algorithms, based on RANSAC, for obtaining an initial estimate followed by local optimization using a robust error norm. The system is verified on both real and synthetic data.
Keywords:
Constant Offset ;
Minimal Problem ;
RANSAC ;
Time-difference-of-arrival ;
Computational Mathematics ;
Signal Processing
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