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.
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About the Author
John Rowland Higgins is at Anglia Polytechnic University.
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Sampling Theory in Fourier and Signal Analysis: Foundations
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Oxford University Press, GB, 1996
ISBN 10: 0198596995
ISBN 13: 9780198596998
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Hardback. Condition: New. 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. Seller Inventory # LU-9780198596998
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Sampling Theory in Fourier and Signal Analysis: Foundations: Volume 1: Foundations (Oxford Science Publications)
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Condition: New. This monograph explores 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, it covers a wide variety of topics. Num Pages: 236 pages, figures. BIC Classification: PBKF; PDE; TBJ; TJK. Category: (U) Tertiary Education (US: College). Dimension: 241 x 158 x 19. Weight in Grams: 490. . 1996. hardcover. . . . . Seller Inventory # V9780198596998
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