Sampling Theory in Fourier and Signal Analysis: Advanced Topics

Hardcover | November 25, 1999

byJ. R. Higgins, R. L. Stens

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This is the second of a two-volume series on sampling theory. The mathematical foundations were laid in the first volume, and this book surveys the many applications of sampling theory both within mathematics and in other areas of science. Many of the topics covered here are not found in otherbooks, and all are given an up to date treatment bringing the reader's knowledge up to research level. This book consists of ten chapters, written by ten different teams of authors, and the contents range over a wide variety of topics including combinatorial analysis, number theory, neural networks,derivative sampling, wavelets, stochastic signals, random fields, and abstract harmonic analysis. There is a comprehensive, up to date bibliography.

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This is the second of a two-volume series on sampling theory. The mathematical foundations were laid in the first volume, and this book surveys the many applications of sampling theory both within mathematics and in other areas of science. Many of the topics covered here are not found in otherbooks, and all are given an up to date trea...

Rowland Higgins is at Anglia Polytechnic University, Cambridge. Rudolph L. Stens is at Rheinisch-Westfaelische, Technische Hochschule, Aachen.

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Format:HardcoverPublished:November 25, 1999Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198534965

ISBN - 13:9780198534969

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Table of Contents

1. Applications of sampling theory to combintorial analysis, Stirling numbers, special functions and the Riemann zeta function2. Sampling theory and the arithmetic Fourier transform3. Derivative sampling - a paradigm example of multi-channel methods4. Computational methods in linear prediction for band-limited signals based on past samples5. Interpolation and sampling theories, and linear ordinary boundary value problems6. Sampling by generalized kernels7. Sampling theory and wavelets8. Approximation by translates of a radial function9. Almost sure sampling restoration of band-limited stochastic signals10. Abstract harmonic analysis and the sampling theorem

Editorial Reviews

"In contrast to the first volume, in the present one of the references are given at the end of each chpater. The two indexes, of authors and objects provide an enlarged accessibility to the items included in the book. As to the graphics, it is as beautiful as that of the first volume ... Aftercarefully studying the first volume, the research engineer or applied mathematician can proceed to read this book" Zentralblatt Mathematik