Sampling Theory in Fourier and Signal Analysis

Sampling Theory in Fourier and Signal Analysis
Author :
Publisher :
Total Pages : 240
Release :
ISBN-10 : 0198596995
ISBN-13 : 9780198596998
Rating : 4/5 (998 Downloads)

Book Synopsis Sampling Theory in Fourier and Signal Analysis by : John Rowland Higgins

Download or read book Sampling Theory in Fourier and Signal Analysis written by John Rowland Higgins and published by . This book was released on 1996 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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