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130808s2013 xxu| s |||| 0|eng d
9780817649487
978-0-8176-4948-7
10.1007/978-0-8176-4948-7
doi
QA71-90
PDE
bicssc
COM014000
bisacsh
MAT003000
bisacsh
004
23
Foucart, Simon.
author.
A Mathematical Introduction to Compressive Sensing
[electronic resource] /
by Simon Foucart, Holger Rauhut.
New York, NY :
Springer New York :
Imprint: Birkhäuser,
2013.
XVIII, 625 p.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Applied and Numerical Harmonic Analysis,
2296-5009
1 An Invitation to Compressive Sensing -- 2 Sparse Solutions of Underdetermined Systems -- 3 Basic Algorithms -- 4 Basis Pursuit -- 5 Coherence -- 6 Restricted Isometry Property -- 7 Basic Tools from Probability Theory -- 8 Advanced Tools from Probability Theory -- 9 Sparse Recovery with Random Matrices -- 10 Gelfand Widths of l1-Balls -- 11 Instance Optimality and Quotient Property -- 12 Random Sampling in Bounded Orthonormal Systems -- 13 Lossless Expanders in Compressive Sensing -- 14 Recovery of Random Signals using Deterministic Matrices -- 15 Algorithms for l1-Minimization -- Appendix A Matrix Analysis -- Appendix B Convex Analysis -- Appendix C Miscellanea -- List of Symbols -- References.
At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. Key features include: · The first textbook completely devoted to the topic of compressive sensing · Comprehensive treatment of the subject, including background material from probability theory, detailed proofs of the main theorems, and an outline of possible applications · Numerous exercises designed to help students understand the material · An extensive bibliography with over 500 references that guide researchers through the literature With only moderate prerequisites, A Mathematical Introduction to Compressive Sensing is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject.
Mathematics.
Computer science
Mathematics.
Functional analysis.
Computer mathematics.
Electrical engineering.
Mathematics.
Computational Science and Engineering.
Signal, Image and Speech Processing.
Math Applications in Computer Science.
Communications Engineering, Networks.
Functional Analysis.
Rauhut, Holger.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9780817649470
Applied and Numerical Harmonic Analysis,
2296-5009
http://dx.doi.org/10.1007/978-0-8176-4948-7
ZDB-2-SMA
Dewey Decimal Classification
eBooks
43148
43148