Modern Sampling Theory: Mathematics and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Applied and Numerical Harmonic Analysis
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Sampling is a fundamental topic in the engineering and physical sciences. This new edited book focuses on recent mathematical methods and theoretical developments, as well as some current central applications of the Classical Sampling Theorem. The Classical Sampling Theorem, which originated in the 19th century, is often associated with the names of Shannon, Kotelnikov, and Whittaker; and one of the features of this book is an English translation of the pioneering work in the 1930s by Kotelnikov, a Russian engineer. Following a technical overview and Kotelnikov's article, the book includes a wide and coherent range of mathematical ideas essential for modern sampling techniques. These ideas involve wavelets and frames, complex and abstract harmonic analysis, the Fast Fourier Transform (FFT),and special functions and eigenfunction expansions. Some of the applications addressed are tomography and medical imaging. Topics:. Relations between wavelet theory, the uncertainty principle, and sampling; . Multidimensional non-uniform sampling theory and algorithms;. The analysis of oscillatory behavior through sampling;. Sampling techniques in deconvolution;. The FFT for non-uniformly distributed data; . Filter design and sampling; . Sampling of noisy data for signal reconstruction;. Finite dimensional models for oversampled filter banks; . Sampling problems in MRI. Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory |
| Beschreibung: | 1 Online-Ressource (XVI, 419 p) |
| ISBN: | 9781461201434 9781461266327 |
| DOI: | 10.1007/978-1-4612-0143-4 |
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Datensatz im Suchindex
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| dewey-hundreds | 600 - Technology (Applied sciences) |
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| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-1-4612-0143-4 |
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| spelling | Benedetto, John J. Verfasser aut Modern Sampling Theory Mathematics and Applications edited by John J. Benedetto, Paulo J. S. G. Ferreira Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XVI, 419 p) txt rdacontent c rdamedia cr rdacarrier Applied and Numerical Harmonic Analysis Sampling is a fundamental topic in the engineering and physical sciences. This new edited book focuses on recent mathematical methods and theoretical developments, as well as some current central applications of the Classical Sampling Theorem. The Classical Sampling Theorem, which originated in the 19th century, is often associated with the names of Shannon, Kotelnikov, and Whittaker; and one of the features of this book is an English translation of the pioneering work in the 1930s by Kotelnikov, a Russian engineer. Following a technical overview and Kotelnikov's article, the book includes a wide and coherent range of mathematical ideas essential for modern sampling techniques. These ideas involve wavelets and frames, complex and abstract harmonic analysis, the Fast Fourier Transform (FFT),and special functions and eigenfunction expansions. Some of the applications addressed are tomography and medical imaging. Topics:. Relations between wavelet theory, the uncertainty principle, and sampling; . Multidimensional non-uniform sampling theory and algorithms;. The analysis of oscillatory behavior through sampling;. Sampling techniques in deconvolution;. The FFT for non-uniformly distributed data; . Filter design and sampling; . Sampling of noisy data for signal reconstruction;. Finite dimensional models for oversampled filter banks; . Sampling problems in MRI. Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory Engineering Functional analysis Mathematics Telecommunication Signal, Image and Speech Processing Functional Analysis Applications of Mathematics Communications Engineering, Networks Ingenieurwissenschaften Mathematik Stichprobe (DE-588)4057502-0 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Stichprobe (DE-588)4057502-0 s 2\p DE-604 Ferreira, Paulo J. S. G. Sonstige oth https://doi.org/10.1007/978-1-4612-0143-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Benedetto, John J. Modern Sampling Theory Mathematics and Applications Engineering Functional analysis Mathematics Telecommunication Signal, Image and Speech Processing Functional Analysis Applications of Mathematics Communications Engineering, Networks Ingenieurwissenschaften Mathematik Stichprobe (DE-588)4057502-0 gnd |
| subject_GND | (DE-588)4057502-0 (DE-588)4143413-4 |
| title | Modern Sampling Theory Mathematics and Applications |
| title_auth | Modern Sampling Theory Mathematics and Applications |
| title_exact_search | Modern Sampling Theory Mathematics and Applications |
| title_full | Modern Sampling Theory Mathematics and Applications edited by John J. Benedetto, Paulo J. S. G. Ferreira |
| title_fullStr | Modern Sampling Theory Mathematics and Applications edited by John J. Benedetto, Paulo J. S. G. Ferreira |
| title_full_unstemmed | Modern Sampling Theory Mathematics and Applications edited by John J. Benedetto, Paulo J. S. G. Ferreira |
| title_short | Modern Sampling Theory |
| title_sort | modern sampling theory mathematics and applications |
| title_sub | Mathematics and Applications |
| topic | Engineering Functional analysis Mathematics Telecommunication Signal, Image and Speech Processing Functional Analysis Applications of Mathematics Communications Engineering, Networks Ingenieurwissenschaften Mathematik Stichprobe (DE-588)4057502-0 gnd |
| topic_facet | Engineering Functional analysis Mathematics Telecommunication Signal, Image and Speech Processing Functional Analysis Applications of Mathematics Communications Engineering, Networks Ingenieurwissenschaften Mathematik Stichprobe Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4612-0143-4 |
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