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Optimal sensor placement for localizing structured signal sources

Juhlin, Maria LU and Jakobsson, A. LU orcid (2023) In Signal Processing 202.
Abstract

This work is concerned with determining optimal sensor placements that allow for an accurate location estimate of structured signal sources, taking into account the expected location areas and the typical range of the parameters detailing the signals. In the presentation, we illustrate the technique for tonal sound signals, exploiting the expected harmonic structure of such signals. To determine preferable sensor placements, we propose a computationally efficient scheme that minimizes theoretical lower bounds on the variance of the location estimate over the possible sensor placements, while taking into account the expected variability in the impinging signals, and introducing various forms of constraints on the optimization. Numerical... (More)

This work is concerned with determining optimal sensor placements that allow for an accurate location estimate of structured signal sources, taking into account the expected location areas and the typical range of the parameters detailing the signals. In the presentation, we illustrate the technique for tonal sound signals, exploiting the expected harmonic structure of such signals. To determine preferable sensor placements, we propose a computationally efficient scheme that minimizes theoretical lower bounds on the variance of the location estimate over the possible sensor placements, while taking into account the expected variability in the impinging signals, and introducing various forms of constraints on the optimization. Numerical examples and real measurements illustrate the performance of the proposed scheme.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Convex optimisation, Cramér−Rao lower bound, Structured signals
in
Signal Processing
volume
202
article number
108679
publisher
Elsevier
external identifiers
  • scopus:85136549940
ISSN
0165-1684
DOI
10.1016/j.sigpro.2022.108679
language
English
LU publication?
yes
id
2a26218e-6af3-4ae4-822c-1d4cb48e3ef5
date added to LUP
2022-10-17 12:09:51
date last changed
2023-11-21 02:05:40
@article{2a26218e-6af3-4ae4-822c-1d4cb48e3ef5,
  abstract     = {{<p>This work is concerned with determining optimal sensor placements that allow for an accurate location estimate of structured signal sources, taking into account the expected location areas and the typical range of the parameters detailing the signals. In the presentation, we illustrate the technique for tonal sound signals, exploiting the expected harmonic structure of such signals. To determine preferable sensor placements, we propose a computationally efficient scheme that minimizes theoretical lower bounds on the variance of the location estimate over the possible sensor placements, while taking into account the expected variability in the impinging signals, and introducing various forms of constraints on the optimization. Numerical examples and real measurements illustrate the performance of the proposed scheme.</p>}},
  author       = {{Juhlin, Maria and Jakobsson, A.}},
  issn         = {{0165-1684}},
  keywords     = {{Convex optimisation; Cramér−Rao lower bound; Structured signals}},
  language     = {{eng}},
  month        = {{01}},
  publisher    = {{Elsevier}},
  series       = {{Signal Processing}},
  title        = {{Optimal sensor placement for localizing structured signal sources}},
  url          = {{http://dx.doi.org/10.1016/j.sigpro.2022.108679}},
  doi          = {{10.1016/j.sigpro.2022.108679}},
  volume       = {{202}},
  year         = {{2023}},
}