Incoherent dictionaries and the statistical restricted isometry property

Details Incoherent dictionaries and the statistical restricted isometry property Incoherent dictionaries and the statistical restricted isometry property

2008-09-09

arxiv.org/abs/0809.1687v4

Computer Science

Information Theory

Key words: Incoherent dictionaries, statistical version of Candes - Tao RIP, Semi-Circle law, deterministic constructions, Hei

Scientific paper

In this article we present a statistical version of the Candes-Tao restricted isometry property (SRIP for short) which holds in general for any incoherent dictionary which is a disjoint union of orthonormal bases. In addition, under appropriate normalization, the eigenvalues of the associated Gram matrix fluctuate around 1 according to the Wigner semicircle distribution. The result is then applied to various dictionaries that arise naturally in the setting of finite harmonic analysis, giving, in particular, a better understanding on a remark of Applebaum-Howard-Searle-Calderbank concerning RIP for the Heisenberg dictionary of chirp like functions.

Affiliated with

Also associated with

No associations

Rating

Incoherent dictionaries and the statistical restricted isometry property does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Incoherent dictionaries and the statistical restricted isometry property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Incoherent dictionaries and the statistical restricted isometry property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160748