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- Sinc_function abstract "In mathematics, physics and engineering, the cardinal sine function or sinc function, denoted by sinc(x), has two slightly different definitions.In mathematics, the historical unnormalized sinc function is defined byIn digital signal processing and information theory, the normalized sinc function is commonly defined byIn either case, the value at is defined to be the limiting value: .The normalization causes the definite integral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of π). As a further useful property, all of the zeros of the normalized sinc function are integer values of . The normalized sinc function is the Fourier transform of the rectangular function with no scaling. This function is fundamental in the concept of reconstructing the original continuous bandlimited signal from uniformly spaced samples of that signal.The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π. In both cases, the value of the function at the removable singularity at zero is understood to be the limit value 1.The sinc function is analytic everywhere.The term "sinc" /ˈsɪŋk/ is a contraction of the function's full Latin name, the sinus cardinalis (cardinal sine). It was introduced by Phillip M. Woodward in his 1952 paper "Information theory and inverse probability in telecommunication" in which he said the function "occurs so often in Fourier analysis and its applications that it does seem to merit some notation of its own" and his 1953 book "Probability and Information Theory, with Applications to Radar".".
- Sinc_function thumbnail Si_sinc.svg?width=300.
- Sinc_function wikiPageID "610583".
- Sinc_function wikiPageRevisionID "603823468".
- Sinc_function hasPhotoCollection Sinc_function.
- Sinc_function title "Sinc Function".
- Sinc_function urlname "SincFunction".
- Sinc_function subject Category:Elementary_special_functions.
- Sinc_function subject Category:Signal_processing.
- Sinc_function type Abstraction100002137.
- Sinc_function type ElementarySpecialFunctions.
- Sinc_function type Function113783816.
- Sinc_function type MathematicalRelation113783581.
- Sinc_function type Relation100031921.
- Sinc_function comment "In mathematics, physics and engineering, the cardinal sine function or sinc function, denoted by sinc(x), has two slightly different definitions.In mathematics, the historical unnormalized sinc function is defined byIn digital signal processing and information theory, the normalized sinc function is commonly defined byIn either case, the value at is defined to be the limiting value: .The normalization causes the definite integral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of π). ".
- Sinc_function label "Función sinc".
- Sinc_function label "Funkcja sinc".
- Sinc_function label "Funzione sinc".
- Sinc_function label "Função sinc".
- Sinc_function label "Sinc function".
- Sinc_function label "Sinc".
- Sinc_function label "Sinc-Funktion".
- Sinc_function label "Sinc-functie".
- Sinc_function label "Sinc函数".
- Sinc_function label "Sinc関数".
- Sinc_function label "Sinus cardinal".
- Sinc_function sameAs Sinc-Funktion.
- Sinc_function sameAs Función_sinc.
- Sinc_function sameAs Sinus_cardinal.
- Sinc_function sameAs Funzione_sinc.
- Sinc_function sameAs Sinc関数.
- Sinc_function sameAs 싱크함수.
- Sinc_function sameAs Sinc-functie.
- Sinc_function sameAs Funkcja_sinc.
- Sinc_function sameAs Função_sinc.
- Sinc_function sameAs m.02w8t4.
- Sinc_function sameAs Q855949.
- Sinc_function sameAs Q855949.
- Sinc_function sameAs Sinc_function.
- Sinc_function wasDerivedFrom Sinc_function?oldid=603823468.
- Sinc_function depiction Si_sinc.svg.
- Sinc_function isPrimaryTopicOf Sinc_function.
