Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform
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 th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/131459 |
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| _version_ | 1832548028803710976 |
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| author | Carmen Fernández Antonio Galbis Josep Martínez |
| author_facet | Carmen Fernández Antonio Galbis Josep Martínez |
| author_sort | Carmen Fernández |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ff350e84c511484ea68403ae49bcac17 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ff350e84c511484ea68403ae49bcac172025-02-03T06:42:27ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/131459131459Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier TransformCarmen Fernández0Antonio Galbis1Josep Martínez2Departamento de Análisis Matemático, Universidad de Valencia, Burjasot 46100, Valencia, SpainDepartamento de Análisis Matemático, Universidad de Valencia, Burjasot 46100, Valencia, SpainDepartamento de Análisis Matemático, Universidad de Valencia, Burjasot 46100, Valencia, SpainLocalization 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.http://dx.doi.org/10.1155/2014/131459 |
| spellingShingle | Carmen Fernández Antonio Galbis Josep Martínez Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform Abstract and Applied Analysis |
| title | Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform |
| title_full | Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform |
| title_fullStr | Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform |
| title_full_unstemmed | Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform |
| title_short | Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform |
| title_sort | localization operators and an uncertainty principle for the discrete short time fourier transform |
| url | http://dx.doi.org/10.1155/2014/131459 |
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