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 …

[图书][B] An invitation to compressive sensing

S Foucart, H Rauhut, S Foucart, H Rauhut - 2013 - Springer
This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …

Suprema of chaos processes and the restricted isometry property

F Krahmer, S Mendelson… - Communications on Pure …, 2014 - Wiley Online Library
We present a new bound for suprema of a special type of chaos process indexed by a set of
matrices, which is based on a chaining method. As applications we show significantly …

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 …

Gabor frames in finite dimensions

GE Pfander - Finite Frames: Theory and Applications, 2013 - Springer
Gabor frames have been extensively studied in time-frequency analysis over the last 30
years. They are commonly used in science and engineering to synthesize signals from, or to …

[图书][B] Cognitive networked sensing and big data

R Qiu, M Wicks - 2014 - Springer
The idea of writing this book entitled “Cognitive Networked Sensing and Big Data” started
with the plan to write a briefing book on wireless distributed computing and cognitive …

Dictionary learning for sparse audio inpainting

G Tauböck, S Rajbamshi… - IEEE Journal of Selected …, 2020 - ieeexplore.ieee.org
The objective of audio inpainting is to fill a gap in an audio signal. This is ideally done by
reconstructing the original signal or, at least, by inferring a meaningful surrogate signal. We …

Sparsity in time-frequency representations

GE Pfander, H Rauhut - Journal of Fourier Analysis and Applications, 2010 - Springer
We consider signals and operators in finite dimension which have sparse time-frequency
representations. As main result we show that an S-sparse Gabor representation in ℂ n with …

Identification of matrices having a sparse representation

GE Pfander, H Rauhut, J Tanner - IEEE Transactions on Signal …, 2008 - ieeexplore.ieee.org
We consider the problem of recovering a matrix from its action on a known vector in the
setting where the matrix can be represented efficiently in a known matrix dictionary …

The restricted isometry property for time–frequency structured random matrices

GE Pfander, H Rauhut, JA Tropp - Probability Theory and Related Fields, 2013 - Springer
This paper establishes the restricted isometry property for a Gabor system generated by n 2
time–frequency shifts of a random window function in n dimensions. The s th order restricted …