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5 - Uncertainty

from Part I - Basics and Constraints

Published online by Cambridge University Press:  22 August 2018

Patrick Flandrin
Affiliation:
École normale supérieure de Lyon
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Summary

Gaussian functions happen also to be central with respect to the intrinsic conflict that exists between time and frequency and which is referred to as “uncertainty.” This can take various forms depending upon the chosen measure of spread or occupancy in both domains. The striking feature is that most of the intuitive measures such as dispersion or entropy end up with Gaussians as minimizers, making them “quanta” of information (“logons” in Gabor's terminology).

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Publisher: Cambridge University Press
Print publication year: 2018

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  • Uncertainty
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.007
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  • Uncertainty
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.007
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.

  • Uncertainty
  • Patrick Flandrin
  • Book: Explorations in Time-Frequency Analysis
  • Online publication: 22 August 2018
  • Chapter DOI: https://doi.org/10.1017/9781108363181.007
Available formats
×