A mathematical introduction to compressive sensing

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 domai...

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Detaylı Bibliyografya
Asıl Yazarlar: Foucart, Simon, Rauhut, Holger (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edisyon:1st ed. 2013.
Seri Bilgileri:Applied and Numerical Harmonic Analysis
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A Mathematical Introduction to Compressive Sensing, Texte imprimé, 9780817649500
• A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut, 2013, New York, Birkhäuser, Springer, 1 vol. (XVIII-625 p.), Applied and numerical harmonic analysis, 978-0-8176-4947-0
• A mathematical introduction to compressive sensing, Simon Foucart, Holger Rauhut, 2013, New York, Birkhäuser, Springer, 1 vol. (XVIII-625 p.), Applied and numerical harmonic analysis, 978-0-8176-4947-0
İçindekiler:
  • 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