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Meaning of "Fourier transform" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF FOURIER TRANSFORM

Fourier transform play
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GRAMMATICAL CATEGORY OF FOURIER TRANSFORM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Fourier transform is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES FOURIER TRANSFORM MEAN IN ENGLISH?

Fourier transform

The Fourier transform, named after Joseph Fourier, is a mathematical transformation employed to transform signals between time domain and frequency domain, which has many applications in physics and engineering. It is reversible, being able to transform from either domain to the other. The term itself refers to both the transform operation and to the function it produces. In the case of a periodic function over time, the Fourier transform can be simplified to the calculation of a discrete set of complex amplitudes, called Fourier series coefficients. They represent the frequency spectrum of the original time-domain signal. Also, when a time-domain function is sampled to facilitate storage or computer-processing, it is still possible to recreate a version of the original Fourier transform according to the Poisson summation formula, also known as discrete-time Fourier transform. See also Fourier analysis and List of Fourier-related transforms.

Definition of Fourier transform in the English dictionary

The definition of Fourier transform in the dictionary is an integral transform, used in many branches of science, of the form F = ʃeifd y, where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f.

WORDS THAT BEGIN LIKE FOURIER TRANSFORM

Fourdrinier
fourfold
fourfoldness
fourgon
Fourier
Fourier analysis
Fourier series
Fourierism
Fourierist
Fourieristic
Fourierite
Fournier

WORDS THAT END LIKE FOURIER TRANSFORM

application form
art form
ausform
chloroform
conform
disform
form
free form
inform
misform
order form
outperform
perform
platform
reform
retransform
school uniform
transform
uniform
waveform

Synonyms and antonyms of Fourier transform in the English dictionary of synonyms

SYNONYMS

Translation of «Fourier transform» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF FOURIER TRANSFORM

Find out the translation of Fourier transform to 25 languages with our English multilingual translator.
The translations of Fourier transform from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Fourier transform» in English.

Translator English - Chinese

傅里叶变换
1,325 millions of speakers

Translator English - Spanish

transformada de Fourier
570 millions of speakers

English

Fourier transform
510 millions of speakers

Translator English - Hindi

फूरियर
380 millions of speakers
ar

Translator English - Arabic

تحويل فورييه
280 millions of speakers

Translator English - Russian

преобразование Фурье
278 millions of speakers

Translator English - Portuguese

Transformada de Fourier
270 millions of speakers

Translator English - Bengali

ফুরিয়ার রুপান্তর
260 millions of speakers

Translator English - French

transformée de Fourier
220 millions of speakers

Translator English - Malay

Transformasi Fourier
190 millions of speakers

Translator English - German

Fourier-Transformation
180 millions of speakers

Translator English - Japanese

フーリエ変換
130 millions of speakers

Translator English - Korean

푸리에 변환
85 millions of speakers

Translator English - Javanese

Transformasi kaping papat
85 millions of speakers
vi

Translator English - Vietnamese

biến đổi Fourier
80 millions of speakers

Translator English - Tamil

ஃபோரியர் மாற்றும்
75 millions of speakers

Translator English - Marathi

फूरियर ट्रान्सफॉर्म
75 millions of speakers

Translator English - Turkish

Fourier dönüşümü
70 millions of speakers

Translator English - Italian

trasformata di Fourier
65 millions of speakers

Translator English - Polish

transformacji Fouriera
50 millions of speakers

Translator English - Ukrainian

перетворення Фур´є
40 millions of speakers

Translator English - Romanian

transformata Fourier
30 millions of speakers
el

Translator English - Greek

μετασχηματισμό Fourier
15 millions of speakers
af

Translator English - Afrikaans

Fourier-transformasie
14 millions of speakers
sv

Translator English - Swedish

Fouriertransformen
10 millions of speakers
no

Translator English - Norwegian

Fourier transform
5 millions of speakers

Trends of use of Fourier transform

TRENDS

TENDENCIES OF USE OF THE TERM «FOURIER TRANSFORM»

The term «Fourier transform» is quite widely used and occupies the 35.463 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
84
/100
The map shown above gives the frequency of use of the term «Fourier transform» in the different countries.
Principal search tendencies and common uses of Fourier transform
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Fourier transform».

FREQUENCY OF USE OF THE TERM «FOURIER TRANSFORM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Fourier transform» during the past 500 years. Its implementation is based on analysing how often the term «Fourier transform» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Fourier transform

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FOURIER TRANSFORM»

Discover the use of Fourier transform in the following bibliographical selection. Books relating to Fourier transform and brief extracts from same to provide context of its use in English literature.
1
The Fourier Transform and Its Applications
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications.
Ronald Newbold Bracewell, 2000
2
Fourier Transform Spectrometry
This book provides a comprehensive discussion of FTS from the ground up, covering basic concepts, instrumentation, data-processing algorithms, and techniques for computerized spectral analysis.
Sumner P. Davis, Mark C. Abrams, James W. Brault, 2001
3
Fast Fourier Transform - Algorithms and Applications: ...
This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing.
K. R. Rao, Do Nyeon Kim, Jae Jeong Hwang, 2011
4
Computational Frameworks for the Fast Fourier Transform
The author captures the interplay between mathematics and the design of effective numerical algorithms.
Charles Van Loan, 1992
5
The Fourier Transform in Biomedical Engineering
This volume is designed to de-mystify the concept of Fourier transform s and to present practical and relevant applications of this tool and some of its relatives, such as wavelets, in biomedical situations - no tably in medical imaging.
Terry M. Peters, Jackie C. Williams, Jason H. T. Bates, 1998
6
Fundamentals of Fourier Transform Infrared Spectroscopy, ...
Reflecting the myriad changes and advancements in the technologies involved in FTIR, particularly the development of diamond ATRs, this second edition of Fundamentals of Fourier Transform Infrared Spectroscopy has been extensively rewritten ...
Brian C. Smith, 2011
7
The Fast Fourier Transform and Its Applications
This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.
E. Oran Brigham, 1988
8
The DFT: An Owners' Manual for the Discrete Fourier Transform
This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics.
William L. Briggs, Van Emden Henson, 1995
9
Fourier and Laplace Transforms
The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in ...
R. J. Beerends, 2003
10
Fourier Transform Spectroscopy Instrumentation Engineering
Knowing where the limitations of performance arise and which components must be improved are crucial to obtaining repeatable and accurate results. One of the objectives of this book is to help the user identify the instrument's bottleneck.
Vidi Saptari, 2004

10 NEWS ITEMS WHICH INCLUDE THE TERM «FOURIER TRANSFORM»

Find out what the national and international press are talking about and how the term Fourier transform is used in the context of the following news items.
1
Optimization techniques to transform fragile watermarking
... a transformed domain, like the discrete Fourier transform (DFT), the Karhunen-Loève transform (KLT), or the discrete cosine transform (DCT). «SPIE Newsroom, Jul 15»
2
The fading yellow of Matisse
The 2D full-field X-ray near edge structure imaging, 2D micro-X-ray diffraction, X-ray fluorescence and Fourier transform IR imaging data were ... «spectroscopyNOW.com, Jul 15»
3
Nvidia Ramps Up GPU Deep Learning Performance
... in the GDDR5 frame buffer memory of the GPU, but Nvidia has added support for fast Fourier transform (FFT) convolutions and has optimized ... «The Platform, Jul 15»
4
Ultra-low-k material cryoetching plasma process for interconnects
We introduced the concept of 'equivalent damaged layer' (EDL) determined by ellipsometry and Fourier transform IR spectroscopy experiments ... «SPIE Newsroom, Jul 15»
5
Genetics of rapid eye movement sleep in humans
Fast Fourier transform was performed on the EEG of REM sleep. Power spectra were derived from a 4-s fragment, shifted for 1 s, resulting in a ... «Nature.com, Jul 15»
6
EPA Issues Final Rule on Performance Specs for Hydrogen …
Both rules specify the use of extractive Fourier transform infrared spectroscopy (FTIR) and PS-15 when affected facilities opt or are required to ... «Targeted News Service, Jul 15»
7
Boffins demo 'memcomputer', plot von Neumann's retirement
... (Fabio Lorenzo Traversa, Chiara Ramella, and Fabrizio Bonani) have published in Science, using a Fourier Transform as their test case. «The Register, Jul 15»
8
Transitioning infrared imaging into clinical use: an interview with Dr …
... diagnose to similar powers as were possible when analysing 900 frequencies when collecting in a Fourier Transform Infrared (FTIR) set up. «News-Medical.net, Jul 15»
9
'Green' nanocapsules kill bacterial biofilms
... microscopy, X-ray photoelectron spectroscopy (XPS) and attenuated total reflection Fourier transform infrared spectroscopy (ATR-FTIR). «nanotechweb.org, Jul 15»
10
Groundbreaking FTIR microscopy systems recieve significant …
Agilent Technologies, Inc introduced significant enhancements to its Cary 610 and 620 Fourier transform infrared spectrometer (FTIR) ... «Labmate Online, Jul 15»

REFERENCE
« EDUCALINGO. Fourier transform [online]. Available <https://educalingo.com/en/dic-en/fourier-transform>. May 2024 ».
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