Fractional Fourier transform

en

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Fractional Fourier transform

Quality:

Fractional Fourier transform - linear transformation generalizing the Fourier transform, used in the area of harmonic analysis. Article “Fractional Fourier transform” in English Wikipedia has 51.6 points for quality (as of July 1, 2025). The article contains 26 references and 14 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 2025 the article “Fractional Fourier transform” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Fractional Fourier transform”, its content was written by 65 registered users of English Wikipedia and edited by 135 registered Wikipedia users in all languages.

The article is cited 34 times in English Wikipedia and cited 80 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #35140 in October 2004
  • Global: #46449 in March 2016

The highest popularity rank from 2008:

  • Local (English): #128856 in December 2023
  • Global: #221412 in December 2023

There are 8 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)
Fractional Fourier transform
51.6479
2Chinese (zh)
分數傅立葉變換
46.3011
3Portuguese (pt)
Transformada fracional de Fourier
45.3162
4Korean (ko)
분수 푸리에 변환
31.8037
5Turkish (tr)
Fraksiyonel fourier dönüşümü
31.6206
6Catalan (ca)
Transformada de Fourier fraccional
23.7931
7Japanese (ja)
分数次フーリエ変換
19.7529
8Persian (fa)
تبدیل فوریه کسری
18.3023
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 "Fractional Fourier transform" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fractional Fourier transform
357 199
2Chinese (zh)
分數傅立葉變換
54 360
3Japanese (ja)
分数次フーリエ変換
9 247
4Turkish (tr)
Fraksiyonel fourier dönüşümü
6 609
5Persian (fa)
تبدیل فوریه کسری
4 859
6Portuguese (pt)
Transformada fracional de Fourier
4 009
7Korean (ko)
분수 푸리에 변환
3 739
8Catalan (ca)
Transformada de Fourier fraccional
102
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 "Fractional Fourier transform" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fractional Fourier transform
1 528
2Chinese (zh)
分數傅立葉變換
254
3Japanese (ja)
分数次フーリエ変換
91
4Korean (ko)
분수 푸리에 변환
48
5Turkish (tr)
Fraksiyonel fourier dönüşümü
21
6Portuguese (pt)
Transformada fracional de Fourier
19
7Persian (fa)
تبدیل فوریه کسری
8
8Catalan (ca)
Transformada de Fourier fraccional
6
More...

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

The highest AI

Language versions of the article "Fractional Fourier transform" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fractional Fourier transform
65
2Chinese (zh)
分數傅立葉變換
29
3Turkish (tr)
Fraksiyonel fourier dönüşümü
16
4Korean (ko)
분수 푸리에 변환
8
5Japanese (ja)
分数次フーリエ変換
7
6Portuguese (pt)
Transformada fracional de Fourier
6
7Persian (fa)
تبدیل فوریه کسری
3
8Catalan (ca)
Transformada de Fourier fraccional
1
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 "Fractional Fourier transform" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fractional Fourier transform
1
2Catalan (ca)
Transformada de Fourier fraccional
0
3Persian (fa)
تبدیل فوریه کسری
0
4Japanese (ja)
分数次フーリエ変換
0
5Korean (ko)
분수 푸리에 변환
0
6Portuguese (pt)
Transformada fracional de Fourier
0
7Turkish (tr)
Fraksiyonel fourier dönüşümü
0
8Chinese (zh)
分數傅立葉變換
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 "Fractional Fourier transform" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fractional Fourier transform
34
2Chinese (zh)
分數傅立葉變換
23
3Persian (fa)
تبدیل فوریه کسری
6
4Korean (ko)
분수 푸리에 변환
6
5Japanese (ja)
分数次フーリエ変換
4
6Turkish (tr)
Fraksiyonel fourier dönüşümü
3
7Catalan (ca)
Transformada de Fourier fraccional
2
8Portuguese (pt)
Transformada fracional de Fourier
2
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
Transformada de Fourier fraccional
enEnglish
Fractional Fourier transform
faPersian
تبدیل فوریه کسری
jaJapanese
分数次フーリエ変換
koKorean
분수 푸리에 변환
ptPortuguese
Transformada fracional de Fourier
trTurkish
Fraksiyonel fourier dönüşümü
zhChinese
分數傅立葉變換

Popularity rank trends

Best Rank English:
#128856
12.2023
Global:
#221412
12.2023

AI rank trends

Best Rank English:
#35140
10.2004
Global:
#46449
03.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fractional Fourier transform from Wikipedia articles about Bluesteins FFT algorithm, Fourier transform, Fractional calculus, Hartley transform and List of Fourier-related transforms. Whereas reading the article about Fractional Fourier transform people most often go to Wikipedia articles on Linear canonical transformation, Bluesteins FFT algorithm, Mehler kernel, Time–frequency analysis and Quadratic Fourier transform.

Cumulative results of quality and popularity of the Wikipedia article

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

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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