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TOA-Based Self-Calibration of Dual-Microphone Array

Simayijiang, Zhayida LU ; Burgess, Simon LU ; Kuang, Yubin LU and Åström, Karl LU (2015) In IEEE Journal on Selected Topics in Signal Processing 9(5). p.791-801
Abstract
In this paper, we study the time-of-arrival (TOA) based self-calibration problem of dual-microphone array for known and unknown rack distance, and also for different combinations of dimension for the affine spaces spanned by the receivers and by the senders. Particularly, we analyze the minimum cases and present minimum solvers for the case of microphones and speakers in 3-D/3-D, in 2-D/3-D, and in 3-D/2-D, with given or unknown rack length. We identify for each of these minimal problems the number of solutions in general and develop efficient and numerically stable, non-iterative solvers. Solving these problems are of both theoretical and practical interest. This includes understanding what the minimal problems are and how and when they... (More)
In this paper, we study the time-of-arrival (TOA) based self-calibration problem of dual-microphone array for known and unknown rack distance, and also for different combinations of dimension for the affine spaces spanned by the receivers and by the senders. Particularly, we analyze the minimum cases and present minimum solvers for the case of microphones and speakers in 3-D/3-D, in 2-D/3-D, and in 3-D/2-D, with given or unknown rack length. We identify for each of these minimal problems the number of solutions in general and develop efficient and numerically stable, non-iterative solvers. Solving these problems are of both theoretical and practical interest. This includes understanding what the minimal problems are and how and when they can be solved. The solvers can be used to initialize local optimization algorithms for finding the maximum likelihood estimate of the parameters. The solvers can also be used for robust estimation of the parameters in the presence of outliers, using, e.g., RANSAC algorithms. We demonstrate that the proposed solvers are numerically stable in synthetic experiments. We also demonstrate how the solvers can be used with the RANSAC paradigm. We also apply our method for several real data experiments, using ultra-wide-band measurements and using acoustic data. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Time-of-arrival (TOA), dual-microphone array, self-calibration, minimal, solver
in
IEEE Journal on Selected Topics in Signal Processing
volume
9
issue
5
pages
791 - 801
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000357932100004
  • scopus:84960483978
ISSN
1941-0484
DOI
10.1109/JSTSP.2015.2417117
language
English
LU publication?
yes
id
dae5bcf4-5c30-4e01-97b0-51f4cc5fb186 (old id 7779797)
date added to LUP
2015-09-18 16:10:10
date last changed
2017-02-05 03:18:54
@article{dae5bcf4-5c30-4e01-97b0-51f4cc5fb186,
  abstract     = {In this paper, we study the time-of-arrival (TOA) based self-calibration problem of dual-microphone array for known and unknown rack distance, and also for different combinations of dimension for the affine spaces spanned by the receivers and by the senders. Particularly, we analyze the minimum cases and present minimum solvers for the case of microphones and speakers in 3-D/3-D, in 2-D/3-D, and in 3-D/2-D, with given or unknown rack length. We identify for each of these minimal problems the number of solutions in general and develop efficient and numerically stable, non-iterative solvers. Solving these problems are of both theoretical and practical interest. This includes understanding what the minimal problems are and how and when they can be solved. The solvers can be used to initialize local optimization algorithms for finding the maximum likelihood estimate of the parameters. The solvers can also be used for robust estimation of the parameters in the presence of outliers, using, e.g., RANSAC algorithms. We demonstrate that the proposed solvers are numerically stable in synthetic experiments. We also demonstrate how the solvers can be used with the RANSAC paradigm. We also apply our method for several real data experiments, using ultra-wide-band measurements and using acoustic data.},
  author       = {Simayijiang, Zhayida and Burgess, Simon and Kuang, Yubin and Åström, Karl},
  issn         = {1941-0484},
  keyword      = {Time-of-arrival (TOA),dual-microphone array,self-calibration,minimal,solver},
  language     = {eng},
  number       = {5},
  pages        = {791--801},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Journal on Selected Topics in Signal Processing},
  title        = {TOA-Based Self-Calibration of Dual-Microphone Array},
  url          = {http://dx.doi.org/10.1109/JSTSP.2015.2417117},
  volume       = {9},
  year         = {2015},
}