Convolution theorem

en

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Convolution theorem

Quality:

Convolution theorem - theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms. Article “Convolution theorem” in English Wikipedia has 30.9 points for quality (as of July 1, 2026). The article contains 12 references and 11 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2026 the article “Convolution theorem” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Convolution theorem”, its content was written by 85 registered users of English Wikipedia and edited by 134 registered Wikipedia users in all languages.

The article is cited 63 times in English Wikipedia and cited 252 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #384 in June 2002
  • Global: #583 in June 2002

The highest popularity rank from 2008:

  • Local (English): #70232 in November 2022
  • Global: #112270 in April 2015

There are 9 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Convolution theorem
30.8722
2Korean (ko)
합성곱 정리
22.8597
3Russian (ru)
Теорема о свёртке
21.1959
4Catalan (ca)
Teorema de convolució
10.6617
5Chinese (zh)
卷积定理
8.5226
6Italian (it)
Teorema di convoluzione
6.9014
7Portuguese (pt)
Teorema da convolução
3.8637
8Thai (th)
ทฤษฎีบทสังวัตนาการ
1.9061
9Spanish (es)
Teorema de convolución
1.6992
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Convolution theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Convolution theorem
1 978 303
2Spanish (es)
Teorema de convolución
188 433
3Chinese (zh)
卷积定理
180 046
4Italian (it)
Teorema di convoluzione
72 326
5Portuguese (pt)
Teorema da convolução
47 272
6Russian (ru)
Теорема о свёртке
8 989
7Catalan (ca)
Teorema de convolució
2 294
8Thai (th)
ทฤษฎีบทสังวัตนาการ
128
9Korean (ko)
합성곱 정리
99
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Convolution theorem" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Convolution theorem
4 049
2Chinese (zh)
卷积定理
228
3Russian (ru)
Теорема о свёртке
216
4Spanish (es)
Teorema de convolución
125
5Italian (it)
Teorema di convoluzione
107
6Portuguese (pt)
Teorema da convolução
56
7Korean (ko)
합성곱 정리
15
8Catalan (ca)
Teorema de convolució
7
9Thai (th)
ทฤษฎีบทสังวัตนาการ
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Convolution theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Convolution theorem
85
2Spanish (es)
Teorema de convolución
12
3Chinese (zh)
卷积定理
12
4Italian (it)
Teorema di convoluzione
11
5Catalan (ca)
Teorema de convolució
4
6Russian (ru)
Теорема о свёртке
4
7Korean (ko)
합성곱 정리
2
8Portuguese (pt)
Teorema da convolução
2
9Thai (th)
ทฤษฎีบทสังวัตนาการ
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2026

Language versions of the article "Convolution theorem" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Convolution theorem
1
2Catalan (ca)
Teorema de convolució
0
3Spanish (es)
Teorema de convolución
0
4Italian (it)
Teorema di convoluzione
0
5Korean (ko)
합성곱 정리
0
6Portuguese (pt)
Teorema da convolução
0
7Russian (ru)
Теорема о свёртке
0
8Thai (th)
ทฤษฎีบทสังวัตนาการ
0
9Chinese (zh)
卷积定理
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Convolution theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
卷积定理
123
2English (en)
Convolution theorem
63
3Italian (it)
Teorema di convoluzione
18
4Portuguese (pt)
Teorema da convolução
16
5Catalan (ca)
Teorema de convolució
10
6Spanish (es)
Teorema de convolución
9
7Korean (ko)
합성곱 정리
7
8Russian (ru)
Теорема о свёртке
6
9Thai (th)
ทฤษฎีบทสังวัตนาการ
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de convolució
enEnglish
Convolution theorem
esSpanish
Teorema de convolución
itItalian
Teorema di convoluzione
koKorean
합성곱 정리
ptPortuguese
Teorema da convolução
ruRussian
Теорема о свёртке
thThai
ทฤษฎีบทสังวัตนาการ
zhChinese
卷积定理

Popularity rank trends

Best Rank English:
#70232
11.2022
Global:
#112270
04.2015

AI rank trends

Best Rank English:
#384
06.2002
Global:
#583
06.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Convolution theorem from Wikipedia articles about Convolution, Fourier transform, Discrete Fourier transform, Circular convolution and Deconvolution. Whereas reading the article about Convolution theorem people most often go to Wikipedia articles on Convolution, Fourier transform, Hadamard product, List of Fourier-related transforms and Circular convolution.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information