Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem

DOI10.5802/jtnb.367zbMath1151.94462OpenAlexW2012301145MaRDI QIDQ558119

Maurice M. Dodson

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_2_425_0

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Sampling theory in information and communication theory (94A20) Communication theory (94A05)

Related Items (1)

Sampling Theory in a Fourier Algebra Setting

Cites Work

• A Mathematical Theory of Communication
• Advanced topics in Shannon sampling and interpolation theory
• Approximating Paley-Wiener functions by smoothed step functions
• Aliasing and Poisson summation in the sampling theory of Paley-Wiener spaces
• A Sampling Theorem for Stationary (Wide Sense) Stochastic Processes
• Five short stories about the cardinal series
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• A note on Whittaker's cardinal series in harmonic analysis
• A Simple Result in Quadrature
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