| 书目名称 | Modern Sampling Theory | | 副标题 | Mathematics and Appl | | 编辑 | John J. Benedetto,Paulo J. S. G. Ferreira | | 视频video | | | 丛书名称 | Applied and Numerical Harmonic Analysis | | 图书封面 |  | | 描述 | 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 distrib | | 出版日期 | Book 2001 | | 关键词 | Fourier transform; Modulation; Shannon; communication; fast Fourier transform; fast Fourier transform (FF | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0143-4 | | isbn_softcover | 978-1-4612-6632-7 | | isbn_ebook | 978-1-4612-0143-4Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Springer Science+Business Media New York 2001 |
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发表于 2025-3-21 18:09:13
