Advances in Computational Mathematics

, Volume 40, Issue 3, pp 629–650 | Cite as

A survey of uncertainty principles and some signal processing applications

  • Benjamin Ricaud
  • Bruno Torrésani


The goal of this paper is to review the main trends in the domain of uncertainty principles and localization, highlight their mutual connections and investigate practical consequences. The discussion is strongly oriented towards, and motivated by signal processing problems, from which significant advances have been made recently. Relations with sparse approximation and coding problems are emphasized.


Uncertainty principle Concentration inequalities Frames Signal processing 

Mathematics Subject Classification (2010)



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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Signal Processing Laboratory 2Ecole Polytechnique Fédérale de Lausanne (EPFL)LausanneSwitzerland
  2. 2.Aix-Marseille Université, CNRS, Centrale Marseille, LATP, UMR7353MarseilleFrance

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