On Sparse Representation in Fourier and Local Bases

On Sparse Representation in Fourier and Local Bases

We consider the classical problem of finding the sparse representation of a signal in a pair of bases. When both bases are orthogonal, it is known that the sparse representation is unique when the sparsity K of the signal satisfies K

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Veröffentlicht in:IEEE transactions on information theory 2014-12, Vol.60 (12), p.7888-7899
Hauptverfasser: Dragotti, Pier Luigi, Lu, Yue M.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
basis pursuit
Coherence
Complexity theory
Dictionaries
Fourier analysis
harmonic retrieval
mutual coherence
Normal distribution
Polynomials
Prony's method
Signal processing algorithms
Sparse matrices
Sparse representation
union of bases
Vectors
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Zusammenfassung:We consider the classical problem of finding the sparse representation of a signal in a pair of bases. When both bases are orthogonal, it is known that the sparse representation is unique when the sparsity K of the signal satisfies K
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2014.2361858