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2001
IEEE

On sparse signal representations

11 years 4 months ago
On sparse signal representations
An elementary proof of a basic uncertainty principle concerning pairs of representations of ?? vectors in different orthonormal bases is provided. The result, slightly stronger than stated before, has a direct impact on the uniqueness property of the sparse representation of such vectors using pairs of orthonormal bases as overcomplete dictionaries. The main contribution in this paper is the improvement of an important result due to Donoho and Huo concerning the replacement of the ??? optimization problem by a linear programming minimization when searching for the unique sparse representation.
Michael Elad, Alfred M. Bruckstein
Added 25 Oct 2009
Updated 25 Oct 2009
Type Conference
Year 2001
Where ICIP
Authors Michael Elad, Alfred M. Bruckstein
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