Introduction to finite frame theory
To date, frames have established themselves as a standard notion in applied mathematics,
computer science, and engineering as a means to derive redundant, yet stable …
computer science, and engineering as a means to derive redundant, yet stable …
Block-sparse signals: Uncertainty relations and efficient recovery
YC Eldar, P Kup**er… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
We consider efficient methods for the recovery of block-sparse signals-ie, sparse signals that
have nonzero entries occurring in clusters-from an underdetermined system of linear …
have nonzero entries occurring in clusters-from an underdetermined system of linear …
G-frames and g-Riesz bases
W Sun - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
G-frames are generalized frames which include ordinary frames, bounded invertible linear
operators, as well as many recent generalizations of frames, eg, bounded quasi-projectors …
operators, as well as many recent generalizations of frames, eg, bounded quasi-projectors …
Fusion frames and distributed processing
PG Casazza, G Kutyniok, S Li - Applied and computational harmonic …, 2008 - Elsevier
Let [Formula: see text] be a (redundant) sequence of subspaces of a Hilbert space each
being endowed with a weight vi, and let H be the closed linear span of the Wis, a composite …
being endowed with a weight vi, and let H be the closed linear span of the Wis, a composite …
Painless reconstruction from magnitudes of frame coefficients
R Balan, BG Bodmann, PG Casazza… - Journal of Fourier Analysis …, 2009 - Springer
The goal of this paper is to develop fast algorithms for signal reconstruction from magnitudes
of frame coefficients. This problem is important to several areas of research in signal …
of frame coefficients. This problem is important to several areas of research in signal …
Some Properties of K-Frames in Hilbert Spaces
X **ao, Y Zhu, L Găvruţa - Results in mathematics, 2013 - Springer
K-frames were recently introduced by Găvruţa in Hilbert spaces to study atomic systems with
respect to a bounded linear operator. From her discussions there are many differences …
respect to a bounded linear operator. From her discussions there are many differences …
An introduction to frames
J Kovačević, A Chebira - Foundations and Trends® in Signal …, 2008 - nowpublishers.com
This survey gives an introduction to redundant signal representations called frames. These
representations have recently emerged as yet another powerful tool in the signal processing …
representations have recently emerged as yet another powerful tool in the signal processing …
Stability of g-frames
W Sun - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
g-Frames are natural generalizations of frames which cover many other recent
generalizations of frames, eg, bounded quasi-projectors, frames of subspaces, outer frames …
generalizations of frames, eg, bounded quasi-projectors, frames of subspaces, outer frames …
Multi-scale geometric methods for data sets II: Geometric multi-resolution analysis
Data sets are often modeled as samples from a probability distribution in RD, for D large. It is
often assumed that the data has some interesting low-dimensional structure, for example …
often assumed that the data has some interesting low-dimensional structure, for example …
On the duality of fusion frames
P Găvruţa - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
The fusion frames were considered recently by PG Casazza, G. Kutyniok and S. Li in
connection with distributed processing and are related to the construction of global frames …
connection with distributed processing and are related to the construction of global frames …