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TOA Sensor Network Calibration for Receiver and Transmitter Spaces with Difference in Dimension

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Author

Summary, in English

We study and solve the previously unstudied problem of finding both sender and receiver positions from time of arrival (TOA) measurements when there is a difference in dimensionality between the affine subspaces spanned by receivers and senders. Anchor-free TOA network calibration has uses both in sound, radio and radio strength applications. Using linear techniques and requiring only a minimal number of receivers and senders, an algorithm is constructed for general dimension p for the lower dimensional subspace. Degenerate cases are determined and partially characterized as when receivers or senders inhabits a lower dimensional affine subspace than was given as input. The algorithm is further extended to the overdetermined case in a straightforward manner. Simulated experiments show good accuracy for the minimal solver and good performance under noisy measurements. An indoor environment experiment using microphones and speakers gives a RMSE of 2.35cm on receiver and sender positions compared to computer vision reconstruction.

Publishing year

2013

Language

English

Publication/Series

21st European Signal Processing Conference (EUSIPCO 2013)

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Conference name

21st European Signal Processing Conference (EUSIPCO 2013)

Conference date

2013-09-09 - 2013-09-13

Conference place

Marrakech, Morocco

Status

Published