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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) In 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)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
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)
external identifiers
  • WOS:000341754500201
  • Scopus:84901332684
language
English
LU publication?
yes
id
d0330392-90af-41c4-bbb6-8e02c6c69d78 (old id 4064685)
date added to LUP
2013-09-27 15:14:47
date last changed
2017-01-01 08:08:02
@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},
  pages        = {5},
  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},
}