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Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform

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  • Carmen Fernández
  • Antonio Galbis
  • Josep Martínez

Abstract

Localization operators in the discrete setting are used to obtain information on a signal f from the knowledge on the support of its short time Fourier transform. In particular, the extremal functions of the uncertainty principle for the discrete short time Fourier transform are characterized and their connection with functions that generate a time-frequency basis is studied.

Suggested Citation

  • Carmen Fernández & Antonio Galbis & Josep Martínez, 2014. "Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, February.
  • Handle: RePEc:hin:jnlaaa:131459
    DOI: 10.1155/2014/131459
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