Periodic summation
id:
periodic-summation-295-8709298
title:
Periodic summation
text:
In mathematics, any integrable function s ( t ) can be made into a periodic function s P ( t ) with period P by summing the translations of the function s ( t ) by integer multiples of P. This is called periodic summation: When s P ( t ) is alternatively represented as a Fourier series, the Fourier coefficients are equal to the values of the continuous Fourier transform, S ( f ) ≜ F { s ( t ) } , at intervals of 1 P . That identity is a form of the Poisson summation formula. Similarly, a Fourier
brand slug:
wiki
category slug:
encyclopedia
description:
Sum of a function's values every _P_ offsets
original url:
https://en.wikipedia.org/wiki/Periodic_summation
date created:
date modified:
2023-02-16T20:39:51Z
main entity:
{"identifier":"Q7168644","url":"https://www.wikidata.org/entity/Q7168644"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5a/Fourier_transform%2C_Fourier_series%2C_DTFT%2C_DFT.svg","width":1057,"height":630}
fields total:
13
integrity:
15