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arXiv · 1510.02621

Two Aspects of the Donoho-Stark Uncertainty Principle

Paolo Boggiatto·Evanthia Carypis·Alessandro Oliaro
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Abstract

We present some forms of uncertainty principle which involve in a new way localization operators, the concept of $\varepsilon$-concentration and the standard deviation of $L^2$ functions. We show how our results improve the classical Donoho-Stark estimate in two different aspects: a better general lower bound and a lower bound in dependence on the signal itself.

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Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro. 2015-10-09. Two Aspects of the Donoho-Stark Uncertainty Principle. https://arxiv.org/abs/1510.02621

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