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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 131459, 6 pages
http://dx.doi.org/10.1155/2014/131459
Research Article

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

Departamento de Análisis Matemático, Universidad de Valencia, Burjasot 46100, Valencia, Spain

Received 9 December 2013; Accepted 2 January 2014; Published 13 February 2014

Academic Editor: Alfredo Peris

Copyright © 2014 Carmen Fernández et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.