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On uncertainty principles in the finite dimensional setting
Journal article   Open access  Peer reviewed

On uncertainty principles in the finite dimensional setting

Saifallah Ghobber and Philippe Jaming
Linear algebra and its applications, Vol.435(4), pp.751-768
01/01/2011
DOI: https://doi.org/10.1016/j.laa.2011.01.038

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 more quantitative estimates. We then show how to transfer this result to the discrete version of the short time Fourier transform. (C) 2011 Elsevier Inc. All rights reserved.
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https://doi.org/10.1016/j.laa.2011.01.038View
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