Sampling Theory in Fourier and Signal Analysis : Volume 1: Foundations (Oxford Science Publications)
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Book 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.
Sampling Theory in Fourier and Signal Analysis: Volume 1: Foundations (Oxford Science Publications),J. R. Higgins,Oxford University Press, USA,0198596995,Applied,Fourier Analysis,Infinity,Mathematics,Sampling (Statistics),Science/Mathematics,Signal processing,Statistical methods,Mathematics / Applied,Mathematics for scientists & engineers,Mathematics | Applied Mathematics
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