Dirac comb
id:
dirac-comb-167-11149012
title:
Dirac comb
text:
In mathematics, a Dirac comb is a periodic function with the formula Ш T := ∑ k = − ∞ ∞ δ :=\sum _{k=-\infty }^{\infty }\delta (t-kT)} for some given period T. Here t is a real variable and the sum extends over all integers k. The Dirac delta function δ and the Dirac comb are tempered distributions. The graph of the function resembles a comb, hence its name and the use of the comb-like Cyrillic letter sha (Ш) to denote the function. The symbol Ш, where the period is omitted, represents a
brand slug:
wiki
category slug:
encyclopedia
description:
Periodic distribution ("function") of "point-mass" Dirac delta sampling
original url:
https://en.wikipedia.org/wiki/Dirac_comb
date created:
2004-12-23T00:23:35Z
date modified:
2024-08-30T11:14:47Z
main entity:
{"identifier":"Q385599","url":"https://www.wikidata.org/entity/Q385599"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/49/Dirac_comb.svg","width":512,"height":323}
fields total:
13
integrity:
16