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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

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Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Sampling theory in Fourier and signal analysis by : J. R. Higgins

Download or read book Sampling theory in Fourier and signal analysis written by J. R. Higgins. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

Sampling: Theory and Applications

2020-05-20 Mathematics
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Release : 2020-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 914/5 ( reviews)

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Book Synopsis Sampling: Theory and Applications by : Stephen D. Casey

Download or read book Sampling: Theory and Applications written by Stephen D. Casey. This book was released on 2020-05-20. Available in PDF, EPUB and Kindle. Book excerpt: The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: • Compressed sensing• Non-uniform and wave sampling• A-to-D conversion• Finite rate of innovation• Time-frequency analysis• Operator theory• Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.

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