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 …

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 …

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 …

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 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 …

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 …

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 …

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 …

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 …

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 …