6533b861fe1ef96bd12c4683
RESEARCH PRODUCT
Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform
Antonio GalbisJosep MartínezCarmen Fernándezsubject
Article SubjectNon-uniform discrete Fourier transformDiscrete-time Fourier transformApplied Mathematicslcsh:MathematicsMathematical analysisShort-time Fourier transformlcsh:QA1-939Fractional Fourier transformDiscrete Fourier transform (general)symbols.namesakeFourier transformDiscrete sine transformDiscrete Fourier seriessymbolsAnalysisMathematicsdescription
Localization operators in the discrete setting are used to obtain information on a signalffrom 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 | Abstract and Applied Analysis |