Discrete Fourier transform

Discrete Fourier transform - technique used in advanced mathematics. Article "Discrete Fourier transform" in English Wikipedia has 57 points for quality (as of July 1, 2025). The article contains 31 references and 42 sections.

This article has the best quality in Estonian Wikipedia. However, this article is the most popular in English version.

In June 2025 the article "Discrete Fourier transform" was edited by 1 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article "Discrete Fourier transform", its content was written by 294 registered users of English Wikipedia and edited by 994 registered Wikipedia users in all languages.

The article is cited 270 times in English Wikipedia and cited 1240 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #376 in November 2001
• Global: #427 in November 2001

The highest popularity rank from 2008:

• Local (English): #12585 in November 2014
• Global: #15165 in November 2014

There are 25 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.

#	Language	Quality grade	Quality score
1	Estonian (et) Diskreetne Fourier' teisendus		78.1907
2	English (en) Discrete Fourier transform		56.9833
3	Greek (el) Διακριτός μετασχηματισμός Φουριέ		48.3219
4	German (de) Diskrete Fourier-Transformation		43.8435
5	Catalan (ca) Transformada discreta de Fourier		34.3212
6	Chinese (zh) 离散傅里叶变换		33.9106
7	French (fr) Transformation de Fourier discrète		22.554
8	Persian (fa) تبدیل فوریه گسسته		22.4456
9	Japanese (ja) 離散フーリエ変換		22.1799
10	Turkish (tr) Ayrık Fourier dönüşümü		22.1378

More...

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

The most popular language versions of the article "Discrete Fourier transform" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Discrete Fourier transform		7 589 738
2	German (de) Diskrete Fourier-Transformation		1 269 558
3	Japanese (ja) 離散フーリエ変換		960 815
4	Russian (ru) Дискретное преобразование Фурье		725 180
5	French (fr) Transformation de Fourier discrète		703 462
6	Chinese (zh) 离散傅里叶变换		621 791
7	Spanish (es) Transformada de Fourier discreta		469 779
8	Polish (pl) Dyskretna transformata Fouriera		343 563
9	Italian (it) Trasformata discreta di Fourier		246 582
10	Vietnamese (vi) Biến đổi Fourier rời rạc		101 530

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

The most popular language versions of the article "Discrete Fourier transform" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Discrete Fourier transform		21 120
2	Russian (ru) Дискретное преобразование Фурье		2 189
3	German (de) Diskrete Fourier-Transformation		2 082
4	Chinese (zh) 离散傅里叶变换		1 865
5	Japanese (ja) 離散フーリエ変換		1 810
6	French (fr) Transformation de Fourier discrète		1 607
7	Spanish (es) Transformada de Fourier discreta		714
8	Polish (pl) Dyskretna transformata Fouriera		636
9	Italian (it) Trasformata discreta di Fourier		564
10	Korean (ko) 이산 푸리에 변환		450

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

Language versions of the article "Discrete Fourier transform" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Discrete Fourier transform		294
2	German (de) Diskrete Fourier-Transformation		142
3	French (fr) Transformation de Fourier discrète		85
4	Russian (ru) Дискретное преобразование Фурье		53
5	Italian (it) Trasformata discreta di Fourier		52
6	Japanese (ja) 離散フーリエ変換		39
7	Spanish (es) Transformada de Fourier discreta		36
8	Dutch (nl) Discrete fouriertransformatie		35
9	Chinese (zh) 离散傅里叶变换		34
10	Polish (pl) Dyskretna transformata Fouriera		26

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

Language versions of the article "Discrete Fourier transform" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Chinese (zh) 离散傅里叶变换		2
2	English (en) Discrete Fourier transform		1
3	Polish (pl) Dyskretna transformata Fouriera		1
4	Arabic (ar) تحويل فورييه المتقطع		0
5	Catalan (ca) Transformada discreta de Fourier		0
6	German (de) Diskrete Fourier-Transformation		0
7	Greek (el) Διακριτός μετασχηματισμός Φουριέ		0
8	Spanish (es) Transformada de Fourier discreta		0
9	Estonian (et) Diskreetne Fourier' teisendus		0
10	Persian (fa) تبدیل فوریه گسسته		0

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

Language versions of the article "Discrete Fourier transform" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Discrete Fourier transform		270
2	Chinese (zh) 离散傅里叶变换		120
3	French (fr) Transformation de Fourier discrète		118
4	Russian (ru) Дискретное преобразование Фурье		91
5	Japanese (ja) 離散フーリエ変換		83
6	German (de) Diskrete Fourier-Transformation		79
7	Catalan (ca) Transformada discreta de Fourier		67
8	Greek (el) Διακριτός μετασχηματισμός Φουριέ		53
9	Spanish (es) Transformada de Fourier discreta		47
10	Persian (fa) تبدیل فوریه گسسته		42

More...

#	Language	Value
ar	Arabic تحويل فورييه المتقطع
ca	Catalan Transformada discreta de Fourier
de	German Diskrete Fourier-Transformation
el	Greek Διακριτός μετασχηματισμός Φουριέ
en	English Discrete Fourier transform
es	Spanish Transformada de Fourier discreta
et	Estonian Diskreetne Fourier' teisendus
fa	Persian تبدیل فوریه گسسته
fr	French Transformation de Fourier discrète
hi	Hindi डिस्क्रीट फुरिअर रूपान्तर
id	Indonesian Transformasi Fourier diskret
it	Italian Trasformata discreta di Fourier
ja	Japanese 離散フーリエ変換
ko	Korean 이산 푸리에 변환
lt	Lithuanian Diskrečioji Furjė transformacija
nl	Dutch Discrete fouriertransformatie
pl	Polish Dyskretna transformata Fouriera
ru	Russian Дискретное преобразование Фурье
sh	Serbo-Croatian Diskretna furijeova transformacija
sr	Serbian Дискретна Фуријеова трансформација
sv	Swedish Diskret fouriertransform
tr	Turkish Ayrık Fourier dönüşümü
uk	Ukrainian Дискретне перетворення Фур'є
vi	Vietnamese Biến đổi Fourier rời rạc
zh	Chinese 离散傅里叶变换

Best Rank

English: #12585 11.2014

Global: #15165 11.2014

Best Rank

English: #376 11.2001

Global: #427 11.2001

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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