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Understanding TOA and TDOA Network Calibration using Far Field Approximation as Initial Estimate

Kuang, Yubin LU ; Ask, Erik LU ; Burgess, Simon LU and Åström, Karl LU (2012) 1st International Conference on Pattern Recognition Applications and Methods (IPCRAM 2012) In ICPRAM 2012 - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods, Volume 2 p.590-596
Abstract
This paper presents a study of the so called far field approximation to the problem of determining both the direction to a number of transmittors and the relative motion of a single antenna using relative distance measurements. The same problem is present in calibration of microphone and wifi-transmittor arrays. In the far field approximation we assume that the relative motion of the antenna is small in comparison to the distances to the base stations. The problem can be solved uniquely with at least three motions of the antenna and at least six real or virtual transmittors. The failure modes of the problem is determined to be (i) when the antenna motion is planar or (ii) when the transmittor directions lie on a cone. We also study to what... (More)
This paper presents a study of the so called far field approximation to the problem of determining both the direction to a number of transmittors and the relative motion of a single antenna using relative distance measurements. The same problem is present in calibration of microphone and wifi-transmittor arrays. In the far field approximation we assume that the relative motion of the antenna is small in comparison to the distances to the base stations. The problem can be solved uniquely with at least three motions of the antenna and at least six real or virtual transmittors. The failure modes of the problem is determined to be (i) when the antenna motion is planar or (ii) when the transmittor directions lie on a cone. We also study to what extent the solution can be obtained in these degenerate configurations. The solution algorithm for the minimal case can be extended to the overdetermined case in a straightforward manner. We also implement and test algorithms for non-linear optimization of the residuals. In experiments we explore how sensitive the calibration is with respect to different degrees of far field approximations of the transmittors and with respect to noise in the data. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
TOA, TDOA, anchor free, localization, sensor networks
in
ICPRAM 2012 - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods, Volume 2
pages
7 pages
publisher
SciTePress
conference name
1st International Conference on Pattern Recognition Applications and Methods (IPCRAM 2012)
external identifiers
  • Scopus:84862209552
ISBN
978-9-898425-99-7
language
English
LU publication?
yes
id
eaa3fa5a-8944-4756-84e9-ad8dd941e1bf (old id 3413145)
date added to LUP
2013-02-05 19:37:04
date last changed
2017-01-01 07:56:29
@inproceedings{eaa3fa5a-8944-4756-84e9-ad8dd941e1bf,
  abstract     = {This paper presents a study of the so called far field approximation to the problem of determining both the direction to a number of transmittors and the relative motion of a single antenna using relative distance measurements. The same problem is present in calibration of microphone and wifi-transmittor arrays. In the far field approximation we assume that the relative motion of the antenna is small in comparison to the distances to the base stations. The problem can be solved uniquely with at least three motions of the antenna and at least six real or virtual transmittors. The failure modes of the problem is determined to be (i) when the antenna motion is planar or (ii) when the transmittor directions lie on a cone. We also study to what extent the solution can be obtained in these degenerate configurations. The solution algorithm for the minimal case can be extended to the overdetermined case in a straightforward manner. We also implement and test algorithms for non-linear optimization of the residuals. In experiments we explore how sensitive the calibration is with respect to different degrees of far field approximations of the transmittors and with respect to noise in the data.},
  author       = {Kuang, Yubin and Ask, Erik and Burgess, Simon and Åström, Karl},
  booktitle    = {ICPRAM 2012 - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods, Volume 2},
  isbn         = {978-9-898425-99-7},
  keyword      = {TOA,TDOA,anchor free,localization,sensor networks},
  language     = {eng},
  pages        = {590--596},
  publisher    = {SciTePress},
  title        = {Understanding TOA and TDOA Network Calibration using Far Field Approximation as Initial Estimate},
  year         = {2012},
}