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portada Sampling Theory in Fourier and Signal Analysis: Volume 1: Foundations (Oxford Science Publications) (Vol 1) (in English)
Type
Physical Book
Year
1996
Language
English
Pages
240
Format
Hardcover
ISBN
0198596995
ISBN13
9780198596998
Edition No.
1

Sampling Theory in Fourier and Signal Analysis: Volume 1: Foundations (Oxford Science Publications) (Vol 1) (in English)

J. R. Higgins (Author) · Clarendon Press · Hardcover

Sampling Theory in Fourier and Signal Analysis: Volume 1: Foundations (Oxford Science Publications) (Vol 1) (in English) - J. R. Higgins

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Synopsis "Sampling Theory in Fourier and Signal Analysis: Volume 1: Foundations (Oxford Science Publications) (Vol 1) (in English)"

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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The book is written in English.
The binding of this edition is Hardcover.

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