Hilbert space frames have long served as a valuable tool for
signal and image processing due to their resilience to additive
noise, quantization, and erasures, as well as their ability to
capture valuable signal characteristics. More recently, finite
frame theory has grown into an important research topic in its own
right, with a myriad of applications to pure and applied
mathematics, engineering, computer science, and other areas. The
number of research publications, conferences, and workshops on this
topic has increased dramatically over the past few years, but no
survey paper or monograph has yet appeared on the subject.
Edited by two of the leading experts in the field, "Finite
Frames" aims to fill this void in the literature by providing a
comprehensive, systematic study of finite frame theory and
applications. With carefully selected contributions written by
highly experienced researchers, it covers topics including:
* Finite Frame Constructions;
* Optimal Erasure Resilient Frames;
* Quantization of Finite Frames;
* Finite Frames and Compressed Sensing;
* Group and Gabor Frames;
* Fusion Frames.
Despite the variety of its chapters' source and content, the
book's notation and terminology are unified throughout and provide
a definitive picture of the current state of frame theory.
With a broad range of applications and a clear, full
presentation, this book is a highly valuable resource for graduate
students and researchers across disciplines such as applied
harmonic analysis, electrical engineering, quantum computing,
medicine, and more. It is designed to be used as a supplemental
textbook, self-study guide, or reference book."
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