Analysis of Noisy Bearing-Only Network Localization
2013 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 58, no 1, 247-252 p.Article in journal (Refereed) Published
Graph theory has been used to characterize the solvability of the sensor network localization problem with ideal (i.e., precisely known) bearing-only measurements between certain pairs of sensors and a limited amount of information about the position of certain nodes, i.e., anchors. In practice, however, bearing measurements will never be exact, and the equations whose solutions deliver sensor positions in the noiseless case may no longer have a solution. This technical brief argues that if the same conditions for localizability that exist in the noiseless case are satisfied and the bearing measurement errors are small enough (as will be formalized later in the technical brief), then the network will be approximately localizable, i.e., sensor position estimates can be found which are near the correct values. In particular, a bound on the position errors is found in terms of a bound on the bearing errors. Later, this bound is used to propose a method to select anchors to minimize the effect of noisy bearing measurements on the localization solution.
Place, publisher, year, edition, pages
2013. Vol. 58, no 1, 247-252 p.
Approximate localization, bearing, rigidity
Control Engineering Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-117643DOI: 10.1109/TAC.2012.2206693ISI: 000312898300028ScopusID: 2-s2.0-84871768473OAI: oai:DiVA.org:kth-117643DiVA: diva2:602782
FunderSwedish Research CouncilKnut and Alice Wallenberg Foundation
QC 201302042013-02-042013-02-012013-02-04Bibliographically approved