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research article
Refined Support and Entropic Uncertainty Inequalities
Generalized versions of the entropic (Hirschman-Beckner) and support (Elad-Bruckstein) uncertainty principle are presented for frames representations. Moreover, a sharpened version of the support inequality is obtained by introducing a generalization of the coherence. In the finite-dimensional case and under certain conditions, minimizers of these inequalities are given. In addition, l(p) norms inequalities are introduced as byproducts of the entropic inequalities.
Type
research article
Web of Science ID
WOS:000321925900012
Authors
Publication date
2013
Published in
Volume
59
Issue
7
Start page
4272
End page
4279
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 1, 2013
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