Finite frames theory and applications Peter G. Casazza, Gitta Kutyniok, editors

Format:

Book

Contributor:

Casazza, Peter G., 1945-

Kutyniok, Gitta

Series:

Applied and numerical harmonic analysis

Language:

English

Subjects (All):

Frames (Vector analysis).

Physical Description:

1 online resource

Place of Publication:

New York Birkhäuser ©2013

System Details:

text file

PDF

Summary:

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."--Publisher's website

Contents:

Introduction to Finite Frame Theory Peter G. Casazza, Gitta Kutyniok and Friedrich Philipp Constructing Finite Frames with a Given Spectrum Matthew Fickus, Dustin G. Mixon and Miriam J. Poteet Spanning and Independence Properties of Finite Frames Peter G. Casazza and Darrin Speegle Algebraic Geometry and Finite Frames Jameson Cahill and Nate Strawn Group Frames Shayne Waldron Gabor Frames in Finite Dimensions Götz E. Pfander Frames as Codes Bernhard G. Bodmann Quantization and Finite Frames Alexander M. Powell, Rayan Saab and Özgür Yılmaz Finite Frames for Sparse Signal Processing Waheed U. Bajwa and Ali Pezeshki Finite Frames and Filter Banks Matthew Fickus, Melody L. Massar and Dustin G. Mixon The Kadison-Singer and Paulsen Problems in Finite Frame Theory Peter G. Casazza Probabilistic Frames: An Overview Martin Ehler and Kasso A. Okoudjou Fusion Frames Peter G. Casazza and Gitta Kutyniok

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Finite frames

ISBN:

9780817683733

0817683739

OCLC:

811059043

Access Restriction:

Restricted for use by site license