Understanding TOA and TDOA Network Calibration using Far Field Approximation as Initial Estimate
(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.590596 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 wifitransmittor 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 wifitransmittor 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 nonlinear 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)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/3413145
 author
 Kuang, Yubin ^{LU} ; Ask, Erik ^{LU} ; Burgess, Simon ^{LU} and Åström, Karl ^{LU}
 organization
 publishing date
 2012
 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
 9789898425997
 language
 English
 LU publication?
 yes
 id
 eaa3fa5a8944475684e9ad8dd941e1bf (old id 3413145)
 date added to LUP
 20130205 19:37:04
 date last changed
 20170101 07:56:29
@inproceedings{eaa3fa5a8944475684e9ad8dd941e1bf, 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 wifitransmittor 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 nonlinear 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 = {9789898425997}, keyword = {TOA,TDOA,anchor free,localization,sensor networks}, language = {eng}, pages = {590596}, publisher = {SciTePress}, title = {Understanding TOA and TDOA Network Calibration using Far Field Approximation as Initial Estimate}, year = {2012}, }