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Sampling Theory in Fourier and Signal Analysis (Oxford Science Publications) - Hardcover

 
9780198596998: Sampling Theory in Fourier and Signal Analysis (Oxford Science Publications)

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.

Review

This book is an excellent introduction into various aspects of sampling theory, written by a long-standing expert in this field. The book covers most of the standard topics in sampling theory....The book is aimed towards a mathematical audience and may form the basis for a one semester
graduate corse. But it is also highly recommended for those of the scientific community, who wish to inform themselves about the basics of the theory, particularly those in mathematics, applied mathematics, and engineering.

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  • PublisherClarendon Press
  • Publication date1996
  • ISBN 10 0198596995
  • ISBN 13 9780198596998
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages236

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ISBN 10: 0198596995 ISBN 13: 9780198596998
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Hardcover. Condition: Near Fine. First Edition; First Printing. Near Fine: This is an EX-NCAR LIBRARY copy, marked withdrawn by the NCAR Library from circulation and showing the usual marks and treatments. Else, just a hint of crimp at the head and heel of the backstrip; a mild nudge to the lower front corner tip; the binding is square and secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome, nearly-new copy, structurally sound and tightly bound, showing the noted imperfections. Bright and clean. Very close to "As New", but from the library treatments. NOT a Remainder or Book-Club. 8vo (9.5 x 6.35 x 0.75 inches). Language: English. Weight: 17.5 ounces. Hardcover: 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. ; Large 8vo 9" - 10" tall; xiii, 222 pages. Seller Inventory # 58666

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