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A Unifying Approach to Minimal Problems in Collinear and Planar TDOA Sensor Network Self-Calibration

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Author

Summary, in English

This work presents a study of sensor network calibration from time-difference-of-arrival (TDOA) measurements for cases when the dimensions spanned by the receivers and the transmitters differ. This could for example be if receivers are restricted to a line or plane or if the transmitting objects are moving linearly in space. Such calibration arises in several applications such as calibration of (acoustic or ultrasound) microphone arrays, and radio antenna networks. We propose a non-iterative algorithm based on recent stratified approaches: (i) rank constraints on modified measurement matrix, (ii) factorization techniques that determine transmitters and receivers up to unknown affine transformation and (iii) determining the affine stratification using remaining non-linear constraints. This results in a unified approach to solve almost all minimal problems. Such algorithms are important components for systems for self-localization. Experiments are shown both for simulated and real data with promising results.

Publishing year

2014

Language

English

Publication/Series

European Signal Processing Conference

Document type

Conference paper

Publisher

EURASIP

Topic

  • Computer Vision and Robotics (Autonomous Systems)
  • Mathematics

Keywords

  • Time-difference-of-arrival
  • anchor-free calibration
  • sensor networks

Conference name

22nd European Signal Processing Conference - EUSIPCO 2014

Conference date

2014-09-01 - 2014-09-05

Conference place

Lissabon, Portugal

Status

Published

Research group

  • Mathematical Imaging Group

ISBN/ISSN/Other

  • ISSN: 2219-5491