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Time Delay Estimation for TDOA Self-Calibration using Truncated Nuclear Norm Regularization

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Author

Summary, in English

Measurements with unknown time delays are common in different applications such as microphone array, radio antenna array calibration, where the sources (e.g. sounds) are transmitted in unknown time instants. In this paper, we present a method for estimating unknown time delays from Time-Difference-of-Arrival (TDOA) measurements. We propose a novel rank constraint on a matrix depending on the measurements and the unknown time delays. The time delays are recovered by solving a truncated nuclear norm minimization problem using alternating direction method of multipliers (ADMM). We show in synthetic experiments that the proposed method recovers the time delays with good accuracy for noisy and missing data.

Publishing year

2013

Language

English

Pages

3885-3889

Publication/Series

Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Computer Vision and Robotics (Autonomous Systems)
  • Mathematics

Keywords

  • Nuclear Norm
  • Time-Difference-of-Arrival
  • Time Delay Estimation
  • Self-Calibration

Conference name

The 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013)

Conference date

2013-05-26 - 2013-05-31

Conference place

Vancouver, Canada

Status

Published

Research group

  • Mathematical Imaging Group

ISBN/ISSN/Other

  • ISSN: 1520-6149