Skip to Main content Skip to Navigation
Journal articles

On uncertainty principles in the finite dimensional setting

Abstract : The aim of this paper is to prove an uncertainty principle for the representation of a vector in two bases. Our result extends previously known qualitative uncertainty principles into quantitative estimates. We then show how to transfer this result to the discrete version of the Short Time Fourier Transform. An application to trigonometric polynomials is also given.
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00368627
Contributor : Philippe Jaming <>
Submitted on : Thursday, September 9, 2010 - 10:25:15 AM
Last modification on : Tuesday, April 28, 2020 - 10:58:08 AM
Document(s) archivé(s) le : Friday, December 10, 2010 - 2:42:03 AM

Files

discret00201.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Saifallah Ghobber, Philippe Jaming. On uncertainty principles in the finite dimensional setting. Linear Algebra and its Applications, Elsevier, 2011, 435, pp.751--768. ⟨10.1016/j.laa.2011.01.038⟩. ⟨hal-00368627v2⟩

Share

Metrics

Record views

319

Files downloads

350