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 31 points for quality (as of July 1, 2025). 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.

Since the creation of article “Convolution theorem”, its content was written by 84 registered users of English Wikipedia and edited by 129 registered Wikipedia users in all languages.

The article is cited 61 times in English Wikipedia and cited 235 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #385 in June 2002
  • Global: #584 in June 2002

The highest popularity rank from 2008:

  • Local (English): #70206 in November 2022
  • Global: #110713 in April 2015

There are 7 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, 2025 (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
30.967
2Russian (ru)
Теорема о свёртке
21.1511
3Catalan (ca)
Teorema de convolució
10.6257
4Chinese (zh)
卷积定理
8.5355
5Italian (it)
Teorema di convoluzione
6.8621
6Portuguese (pt)
Teorema da convolução
3.896
7Spanish (es)
Teorema de convolución
1.7289
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
1 909 822
2Spanish (es)
Teorema de convolución
186 190
3Chinese (zh)
卷积定理
175 911
4Italian (it)
Teorema di convoluzione
70 569
5Portuguese (pt)
Teorema da convolução
46 509
6Russian (ru)
Теорема о свёртке
5 827
7Catalan (ca)
Teorema de convolució
2 231
More...

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

Most popular in June 2025

The most popular language versions of the article "Convolution theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Convolution theorem
6 180
2Chinese (zh)
卷积定理
401
3Russian (ru)
Теорема о свёртке
342
4Spanish (es)
Teorema de convolución
204
5Italian (it)
Teorema di convoluzione
201
6Portuguese (pt)
Teorema da convolução
47
7Catalan (ca)
Teorema de convolució
20
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
84
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
7Portuguese (pt)
Teorema da convolução
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 2025

Language versions of the article "Convolution theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Теорема о свёртке
1
2Catalan (ca)
Teorema de convolució
0
3English (en)
Convolution theorem
0
4Spanish (es)
Teorema de convolución
0
5Italian (it)
Teorema di convoluzione
0
6Portuguese (pt)
Teorema da convolução
0
7Chinese (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
117
2English (en)
Convolution theorem
61
3Italian (it)
Teorema di convoluzione
19
4Portuguese (pt)
Teorema da convolução
14
5Spanish (es)
Teorema de convolución
10
6Catalan (ca)
Teorema de convolució
9
7Russian (ru)
Теорема о свёртке
5
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
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
ptPortuguese
Teorema da convolução
ruRussian
Теорема о свёртке
zhChinese
卷积定理

Popularity rank trends

Best Rank English:
#70206
11.2022
Global:
#110713
04.2015

AI rank trends

Best Rank English:
#385
06.2002
Global:
#584
06.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

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 26 September 2025

On 26 September 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Claudia Cardinale, One Battle After Another, ChatGPT, Alice in Borderland, Guinness, deaths in 2025, Benjamin Netanyahu, Assata Shakur, Charlie Kirk, Arthur Guinness.

In English Wikipedia the most popular articles on that day were: Google Chrome, Assata Shakur, James Comey, Voddie Baucham, They Call Him OG, Wounded Knee Massacre, Deaths in 2025, Ryder Cup, House of Guinness, Snake Eyes (1998 film).

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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information