TOA Sensor Network Calibration for Receiver and Transmitter Spaces with Difference in Dimension
Burgess, Simon LU ; Kuang, Yubin LU and Åström, Karl LU
(2013)
21st European Signal Processing Conference (EUSIPCO 2013)
- Abstract
- We study and solve the previously unstudied problem of finding both sender and receiver positions from time of arrival (TOA) measurements when there is a difference in dimensionality between the affine subspaces spanned by receivers and senders. Anchor-free TOA network calibration has uses both in sound, radio and radio strength applications. Using linear techniques and requiring only a minimal number of receivers and senders, an algorithm is constructed for general dimension p for the lower dimensional subspace. Degenerate cases are determined and partially characterized as when receivers or senders inhabits a lower dimensional affine subspace than was given as input. The algorithm is further extended to the overdetermined case in a... (More)
- We study and solve the previously unstudied problem of finding both sender and receiver positions from time of arrival (TOA) measurements when there is a difference in dimensionality between the affine subspaces spanned by receivers and senders. Anchor-free TOA network calibration has uses both in sound, radio and radio strength applications. Using linear techniques and requiring only a minimal number of receivers and senders, an algorithm is constructed for general dimension p for the lower dimensional subspace. Degenerate cases are determined and partially characterized as when receivers or senders inhabits a lower dimensional affine subspace than was given as input. The algorithm is further extended to the overdetermined case in a straightforward manner. Simulated experiments show good accuracy for the minimal solver and good performance under noisy measurements. An indoor environment experiment using microphones and speakers gives a RMSE of 2.35cm on receiver and sender positions compared to computer vision reconstruction. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4064685
- author
- Burgess, Simon
LU
; Kuang, Yubin
LU
and Åström, Karl
LU
- organization
- publishing date
- 2013
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 21st European Signal Processing Conference (EUSIPCO 2013)
- pages
- 5 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 21st European Signal Processing Conference (EUSIPCO 2013)
- conference location
- Marrakech, Morocco
- conference dates
- 2013-09-09 - 2013-09-13
- external identifiers
-
- wos:000341754500201
- scopus:84901332684
- language
- English
- LU publication?
- yes
- id
- d0330392-90af-41c4-bbb6-8e02c6c69d78 (old id 4064685)
- date added to LUP
- 2016-04-04 12:17:47
- date last changed
- 2022-01-29 23:14:11
@inproceedings{d0330392-90af-41c4-bbb6-8e02c6c69d78,
abstract = {{We study and solve the previously unstudied problem of finding both sender and receiver positions from time of arrival (TOA) measurements when there is a difference in dimensionality between the affine subspaces spanned by receivers and senders. Anchor-free TOA network calibration has uses both in sound, radio and radio strength applications. Using linear techniques and requiring only a minimal number of receivers and senders, an algorithm is constructed for general dimension p for the lower dimensional subspace. Degenerate cases are determined and partially characterized as when receivers or senders inhabits a lower dimensional affine subspace than was given as input. The algorithm is further extended to the overdetermined case in a straightforward manner. Simulated experiments show good accuracy for the minimal solver and good performance under noisy measurements. An indoor environment experiment using microphones and speakers gives a RMSE of 2.35cm on receiver and sender positions compared to computer vision reconstruction.}},
author = {{Burgess, Simon and Kuang, Yubin and Åström, Karl}},
booktitle = {{21st European Signal Processing Conference (EUSIPCO 2013)}},
language = {{eng}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{TOA Sensor Network Calibration for Receiver and Transmitter Spaces with Difference in Dimension}},
year = {{2013}},
}