55 citations · 119 across the 28 of their papers we have counts for
4 papers · 1 filter
Optimal Non-Linear Models for Sparsity and Sampling
Akram Aldroubi, Carlos Cabrelli, Ursula Molter
Given a set of vectors (the data) in a Hilbert space H, we prove the existence of an optimal collection of subspaces minimizing the sum of the square of the distances between each…
On Stability of Sampling-Reconstruction Models
E. costa-Reyes, A. Aldroubi, I. Krishtal
A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or si…
Slanted matrices, Banach frames, and sampling
A. Aldroubi, A. Baskakov, I. Krishtal
In this paper we present a rare combination of abstract results on the spectral properties of slanted matrices and some of their very specific applications to frame theory and samp…
Wavelets on Irregular Grids with Arbitrary Dilation Matrices, and Frames Atoms for L^2(R^d)
Akram Aldroubi, Carlos Cabrelli, Ursula M. Molter
In this article, we develop a general method for constructing wavelets {|det A_j|^{1/2} g(A_jx-x_{j,k}): j in J, k in K}, on irregular lattices of the form X={x_{j,k} in R^d: j in…