Mathematical Introduction to Compressive Sensing

AvSimon Foucart,Holger Rauhut

Inbunden, Engelska, 2013

Del i serien Applied and Numerical Harmonic Analysis

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639 kr

Beskrivning

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

Produktinformation

Utgivningsdatum:2013-08-08
Mått:160 x 242 x 38 mm
Vikt:1 090 g
Format:Inbunden
Språk:Engelska
Serie:Applied and Numerical Harmonic Analysis
Antal sidor:625
Upplaga:2013
Förlag:Birkhauser Boston Inc
ISBN:9780817649470

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Recensioner i media

From the book reviews: "As a textbook it offers great flexibility for the instructor and can be used for both introductory and advanced courses in compressed sensing. ... The book can be highly recommended for teaching purposes, and the homework problems are really excellent. As an encyclopedia the book is very comprehensive and offers detailed proofs and discussions. ... It is expected that this book will become a classical reference source in the field." (Anders C. Hansen, Mathematical Reviews, November, 2014)

Innehållsförteckning

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.