ENGLISH

Sampling Theory in Fourier and Signal Analysis-Foundations

By J. R. Higgins

Book information

Publisher
Clarendon Press
Year
1996
ISBN
0198596995, 9780198596998
DOI
10.1093/oso/9780198596998.001
Language
english
Format
PDF
Filesize
46 MB (48013823 bytes)
Pages
\233
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2024-10-16 20:08:06

Description

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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