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On Blackmann‐Harris windows for Shannon sampling series
Author(s) -
Tamberg Gert
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700700
Subject(s) - series (stratigraphy) , mathematics , window (computing) , window function , sampling (signal processing) , trigonometric functions , term (time) , nyquist–shannon sampling theorem , algorithm , mathematical analysis , statistics , computer science , telecommunications , geometry , physics , spectral density , quantum mechanics , paleontology , detector , biology , operating system
This paper deals with some approximations by the generalized Shannon sampling series, which are defined by the Blackman‐Harris (or cosine‐sum) window functions. In the case of certain ( m + 1)‐term cosine‐sum window functions the order of approximation can be estimated via the 2 m ‐th modulus of continuity. Some choices of parameters in Blackman‐Harris window function generate interpolating generalized Shannon sampling series. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)