@book{d41496b06a9611dca97d000ea68e967b,
title = "Beyond coherence: Recovering structured time-frequency represenatations",
abstract = "We consider the problem of recovering a structured sparse representation of a signal in an overcomplete time-frequency dictionary with a particular structure. For infinite dictionaries that are the union of a nice wavelet basis and a Wilson basis, sufficient conditions are given for the Basis Pursuit and (Orthogonal) Matching Pursuit algorithms to recover a structured representation of an admissible signal. The sufficient conditions take into account the structure of the wavelet/Wilson dictionary and allow very large (even infinite) support sets to be recovered even though the dictionary is highly coherent.",
author = "Lasse Borup and R{\'e}mi Gribonval and Morten Nielsen",
year = "2007",
language = "English",
series = "Research Report Series",
number = "R-2007-21",
publisher = "Department of Mathematical Sciences, Aalborg University",
}