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Node Localization in Unsynchronized Time of Arrival Sensor Networks

Författare

Summary, in English

We present a method for solving the previously unstudied

problem of localizing a set of receivers and directions

from transmitters placed far from the receivers,

measuring unsynchronized time of arrival data. The

same problem is present in node localization of microphone

and antenna arrays. The solution algorithm using

5 receivers and 9 transmitters is extended to the

overdetermined case in a straightforward manner. Degenerate

cases are shown to be when i) the measurement

matrix has rank 4 or less or ii) the directions from

the transmitters to the receivers lie on an intersection

between the unit sphere and another quadric surface.

In simulated experiments we explore how sensitive the

solution is with respect to different degrees of far field

approximations of the transmitters and with respect to

noise in the data. Using real data we get a reconstruction

of the receivers with a relative error of 14%.

Publiceringsår

2012

Språk

Engelska

Sidor

2042-2046

Publikation/Tidskrift/Serie

21st International Conference on Pattern Recognition (ICPR 2012), Proceedings of

Dokumenttyp

Konferensbidrag

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Mathematics

Nyckelord

  • Unsynchronized Time-of-Arrival
  • sensor networks

Conference name

21st International Conference on Pattern Recognition (ICPR 2012)

Conference date

2012-11-11 - 2012-11-15

Conference place

Tsukuba, Japan

Status

Published

Forskningsgrupp

  • Mathematical Imaging Group

ISBN/ISSN/Övrigt

  • ISBN: 978-4-9906441-1-6