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Sampling Theory in Fourier and Signal Analysis

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 998/5 ( reviews)

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Book Synopsis Sampling Theory in Fourier and Signal Analysis by : John Rowland Higgins

Download or read book Sampling Theory in Fourier and Signal Analysis written by John Rowland Higgins. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: With much material not previously found in book form, this book fills a gap by discussing the equivalence of signal functions with their sets of values taken at discreet points comprehensively and on a firm mathematical ground. The wide variety of topics begins with an introduction to the main ideas and background material on Fourier analysis and Hilbert spaces and their bases. Other chapters discuss sampling of Bernstein and Paley-Wiener spaces; Kramer's Lemma and its application to eigenvalue problems; contour integral methods including a proof of the equivalence of the sampling theory; the Poisson summation formula and Cauchy's integral formula; optimal regular, irregular, multi-channel, multi-band and multi-dimensional sampling; and Campbell's generalized sampling theorem. Mathematicians, physicists, and communications engineers will welcome the scope of information found here.

Sampling Theory in Fourier and Signal Analysis: Advanced Topics

1999-11-25 Mathematics
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Release : 1999-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 969/5 ( reviews)

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Book Synopsis Sampling Theory in Fourier and Signal Analysis: Advanced Topics by : J. R. Higgins

Download or read book Sampling Theory in Fourier and Signal Analysis: Advanced Topics written by J. R. Higgins. This book was released on 1999-11-25. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 in this series laid the mathematical foundations of sampling theory; Volume 2 surveys the many applications of the theory both within mathematics and in other areas of science. Topics range over a wide variety of areas, and each application is given a modern treatment.

Modern Sampling Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 438/5 ( reviews)

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Book Synopsis Modern Sampling Theory by : John J. Benedetto

Download or read book Modern Sampling Theory written by John J. Benedetto. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the-art edited survey covering all aspects of sampling theory. Theory, methods and applications are discussed in authoritative expositions ranging from multi-dimensional signal analysis to wavelet transforms. The book is an essential up-to-date resource.

Advanced Topics in Shannon Sampling and Interpolation Theory

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 57X/5 ( reviews)

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Book Synopsis Advanced Topics in Shannon Sampling and Interpolation Theory by : Robert J.II Marks

Download or read book Advanced Topics in Shannon Sampling and Interpolation Theory written by Robert J.II Marks. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.

Sampling, Approximation, and Signal Analysis

2024-01-04 Mathematics
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Release : 2024-01-04
Genre : Mathematics
Kind : eBook
Book Rating : 307/5 ( reviews)

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Book Synopsis Sampling, Approximation, and Signal Analysis by : Stephen D. Casey

Download or read book Sampling, Approximation, and Signal Analysis written by Stephen D. Casey. This book was released on 2024-01-04. Available in PDF, EPUB and Kindle. Book excerpt: During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

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