TY - GEN
T1 - Multiple Offsets Multilateration: A New Paradigm for Sensor Network Calibration with Unsynchronized Reference Nodes
AU - Ferranti, Luca
AU - Aström, Kalle
AU - Oskarsson, Magnus
AU - Boutellier, Jani
AU - Kannala, Juho
N1 - Funding Information:
This work was partially funded by the Academy of Finland project 327912 REPEAT and the Swedish strategic research project ELLIIT.The authors gratefully acknowledge Lund University Humanities Lab.
Publisher Copyright:
© 2022 IEEE
PY - 2022
Y1 - 2022
N2 - Positioning using wave signal measurements is used in several applications, such as GPS systems, structure from sound and Wifi based positioning. Mathematically, such problems require the computation of the positions of receivers and/or transmitters as well as time offsets if the devices are unsynchronized. In this paper, we expand the previous state-of-the-art on positioning formulations by introducing Multiple Offsets Multilateration (MOM), a new mathematical framework to compute the receivers positions with pseudoranges from unsynchronized reference transmitters at known positions. This could be applied in several scenarios, for example structure from sound and positioning with LEO satellites. We mathematically describe MOM, determining how many receivers and transmitters are needed for the network to be solvable, a study on the number of possible distinct solutions is presented and stable solvers based on homotopy continuation are derived. The solvers are shown to be efficient and robust to noise both for synthetic and real audio data.
AB - Positioning using wave signal measurements is used in several applications, such as GPS systems, structure from sound and Wifi based positioning. Mathematically, such problems require the computation of the positions of receivers and/or transmitters as well as time offsets if the devices are unsynchronized. In this paper, we expand the previous state-of-the-art on positioning formulations by introducing Multiple Offsets Multilateration (MOM), a new mathematical framework to compute the receivers positions with pseudoranges from unsynchronized reference transmitters at known positions. This could be applied in several scenarios, for example structure from sound and positioning with LEO satellites. We mathematically describe MOM, determining how many receivers and transmitters are needed for the network to be solvable, a study on the number of possible distinct solutions is presented and stable solvers based on homotopy continuation are derived. The solvers are shown to be efficient and robust to noise both for synthetic and real audio data.
KW - Homotopy Continuation
KW - Minimal Problems
KW - Multilateration
KW - Sensor Networks Calibration
UR - http://www.scopus.com/inward/record.url?scp=85131248711&partnerID=8YFLogxK
U2 - 10.1109/ICASSP43922.2022.9746922
DO - 10.1109/ICASSP43922.2022.9746922
M3 - Conference contribution
AN - SCOPUS:85131248711
T3 - Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing
SP - 4958
EP - 4962
BT - 2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings
PB - IEEE
T2 - IEEE International Conference on Acoustics, Speech, and Signal Processing
Y2 - 23 May 2022 through 27 May 2022
ER -