Sampling Theory in Fourier and Signal Analysis: Foundations (Hardcover)

J.R. Higgins

ISBN 10: 0198596995 / ISBN 13: 9780198596998

Published by Oxford University Press, Oxford, 1996

About this Item

Hardcover. Containing important new material unavailable previously in book form, this book covers a wide variety of topics which will be great interest to applied mathematicians and engineers. Introducing the main ideas, background material is provided on Fourier analysis, Hilbert spaces, and their bases, before the book moves on to discuss more complex topics and their applications. This book is about the equivalence of signal functions with their sets of values taken at discrete points. Beginning with an introduction to the main ideas, and background material on Fourier analysis and Hilbert spaces and their bases, the book covers a wide variety of topics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780198596998

Bibliographic Details

• Title: Sampling Theory in Fourier and Signal Analysis: Foundations (Hardcover)
• Publisher: Oxford University Press, Oxford
• Publication Date: 1996
• Language: English
• ISBN 10: 0198596995
• ISBN 13: 9780198596998
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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.

About the Author

John Rowland Higgins is at Anglia Polytechnic University.