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The Resource A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut

A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut

Label
A mathematical introduction to compressive sensing
Title
A mathematical introduction to compressive sensing
Statement of responsibility
Simon Foucart, Holger Rauhut
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
CDX
http://library.link/vocab/creatorName
Foucart, Simon
Illustrations
illustrations
Index
index present
LC call number
  • TK5102.9
  • TK
LC item number
.F673 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Rauhut, Holger
Series statement
Applied and numerical harmonic analysis
http://library.link/vocab/subjectName
  • Signal processing
  • Signal processing
Label
A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 593-615) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
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 -- B. Convex analysis -- C. Miscellanea
Control code
860992971
Dimensions
25 cm
Extent
xviii, 625 pages
Isbn
9780817649470
Lccn
2013939591
Media category
unmediated
Media MARC source
rdamedia.
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)860992971
Label
A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 593-615) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
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 -- B. Convex analysis -- C. Miscellanea
Control code
860992971
Dimensions
25 cm
Extent
xviii, 625 pages
Isbn
9780817649470
Lccn
2013939591
Media category
unmediated
Media MARC source
rdamedia.
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)860992971

Library Locations

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      38.946102 -92.330125
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