A mathematical introduction to compressive sensing
Material type:
TextLanguage: English Series: Applied and Numerical Harmonic AnalysisPublication details: New York: Springer, 2013. Edition: 1st edDescription: xviii, 625p.; 21cmsISBN: 9781493900633Subject(s): Applied physics -- Compressive Sensing (Mathematical) | Compressive sensing and signal processing | -- Signal processing--MathematicsDDC classification: 621.3822 F68, 1
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| 621.3822 E43:2 Compressed sensing: theory and applications | 621.3822 E53:1 Compressed sensing: theory and applications | 621.3822 F66, 1 A mathematical introduction to compressive sensing | 621.3822 F68, 1:1 A mathematical introduction to compressive sensing | 621.3822 F68, 1:2 A mathematical introduction to compressive sensing | 621.3822 P35, 2 Signals & systems | 621.3822015196 P35 Convex optimization: in signal processing and communications |
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. With only moderate prerequisites, it 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. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.