23 citations · 64 across the 18 of their papers we have counts for
8 papers · 1 filter
Statistical RIP and Semi-Circle Distribution of Incoherent Dictionaries
Shamgar Gurevich, Ronny Hadani
In this paper we formulate and prove a statistical version of the Candes-Tao restricted isometry property (SRIP for short) which holds in general for any incoherent dictionary whic…
Application of the Weil representation: diagonalization of the discrete Fourier transform
SHamgar Gurevich, Ronny Hadani
We survey a new application of the Weil representation to construct a canonical basis of eigenvectors for the discrete Fourier transform (DFT). The transition matrix from the stand…
Group representation design of digital signals and sequences
Shamgar Gurevich, Ronny Hadani, Nir Sochen
In this survey a novel system, called the oscillator system, consisting of order of p^3 functions (signals) on the finite field F_{p}, is described and studied. The new functions a…
The statistical restricted isometry property and the Wigner semicircle distribution of incoherent dictionaries
Shamgar Gurevich, Ronny Hadani
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 dis…
Incoherent dictionaries and the statistical restricted isometry property
Shamgar Gurevich, Ronny Hadani
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 dis…
The discrete Fourier transform: A canonical basis of eigenfunctions
Shamgar Gurevich, Ronny Hadani, Nir Sochen
The discrete Fourier transform (DFT) is an important operator which acts on the Hilbert space of complex valued functions on the ring Z/NZ. In the case where N=p is an odd prime nu…