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14 - More on Maxima

from Part II - Geometry and Statistics

Published online by Cambridge University Press:  22 August 2018

Patrick Flandrin
Affiliation:
École normale supérieure de Lyon
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Summary

The statistical distribution of the (global and local) extrema are described by an extreme value (Gumbel) distribution. Local maxima can serve as centers for Voronoi cells whose statistics is investigated in terms of density, area, and shape. Following the "musical score" analogy, those local maxima (either isolated or organized along ridges) can be interpreted as "loud" points from which signals embedded in noise can be detected and estimated.

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Publisher: Cambridge University Press
Print publication year: 2018

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  • More on Maxima
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.017
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  • More on Maxima
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.017
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • More on Maxima
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.017
Available formats
×