We present some forms of uncertainty principle which involve in a new way localization operators, the concept of $\epsilon$-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.
Two aspects of the Donoho-Stark uncertainty principle
BOGGIATTO, Paolo;CARYPIS, EVANTHIA;OLIARO, Alessandro
2016-01-01
Abstract
We present some forms of uncertainty principle which involve in a new way localization operators, the concept of $\epsilon$-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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