Introduction to finite frame theory

PG Casazza, G Kutyniok, F Philipp - Finite frames: theory and applications, 2013 - Springer
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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

Multi-scale geometric methods for data sets II: Geometric multi-resolution analysis

WK Allard, G Chen, M Maggioni - Applied and computational harmonic …, 2012 - Elsevier
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 …

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 …