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• W2110414000 abstract "In this paper we formulate and prove a statistical version of the restricted isometry property (SRIP for short) which holds in general for any incoherent dictionary D which is a disjoint union of orthonormal bases. In addition, we prove that, under appropriate normalization, the spectral distrib- ution of the associated Gram operator converges in probability to the Sato-Tate (also called semi-circle) distribution. The result is then applied to various dic- tionaries that arise naturally in the setting of …nite harmonic analysis, giving, in particular, a better understanding on a conjecture of Calderbank concerning RIP for the Heisenberg dictionary of chirp like functions." @default.
• W2110414000 created "2016-06-24" @default.
• W2110414000 creator A5011641198 @default.
• W2110414000 creator A5036324670 @default.
• W2110414000 date "2008-09-09" @default.
• W2110414000 modified "2023-09-27" @default.
• W2110414000 title "INCOHERENT DICTIONARIES AND THE STATISTICAL RESTRICTED ISOMETRY PROPERTY" @default.
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• W2110414000 hasPublicationYear "2008" @default.
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