# FFT

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## FFT

Abbrev. for Fast Fourier Transform. A particularly efficient implementation of the Fourier transform for computers. It is used extensively in aperture synthesis, digital signal processing and image processing.

(mathematics)

## FFT

(Fast Fourier Transform) A computer algorithm used in digital signal processing (DSP) to modify, filter and decode digital audio, video and images. FFTs commonly change the time domain into the frequency domain.

FFTs are widely used in voice recognition and myriad other pattern recognition applications. For example, noise-cancelling headphones use FFT to turn unwanted sounds into simple waves so that inverse signals can be generated to cancel them. FFTs are used to sharpen edges and create effects in static images and are widely used to turn a number series into sine waves and graphs.

Fast DFT Processing
The FFT quickly performs a discrete Fourier transform (DFT), which is the practical application of Fourier transforms. Developed by Jean Baptiste Joseph Fourier in the early 19th century, the Fourier equations were invented to transform one complex function into another. One of Fourier's primary goals was to predict the rate of heat transfer based on temperature, mass and proximity. In practice, the terms FFT, DFT and Fourier transform are used synonymously. See DSP.

An FFT Transform A Fourier transform was used to chart the power levels at different frequencies from the half second of digital samples (top).
References in periodicals archive ?
"The French Tennis Federation is very proud to be the first Grand Slam to launch an OTT platform, providing the Brazilians with the opportunity to follow the tournament [live and in full]," FFT Presid ent Bernard Giudicelli told MKTEsportivo .
Jarek Wehrle (V) 3-1; 113: Morgan Dothager (V) won by fft.; 120: Cutter Prater (V) won by fft.; 126: Nate Orosco (AC) d.
That is, the range domain [N.sub.RFFT]-point FFT output vector at the l-th chirp and the k-th array [Y.sub.l,k] = [[Y.sub.l,k][1], [Y.sub.l,k][2], ..., [Y.sub.l,k][[N.sub.RFFT]]] is obtained.
(3) Since OPSD is heavily dependent on efficient FPGA-based 2D FFT implementation which is limited by DRAM access problems, we design a memory mapping scheme based on "tile-hopping", which can reduce row activation overhead while accessing columns of data from the DRAM (Sections 5 and 6).
In FFT there are two main processes involved prior to the actual FFT process and they are; parameter selection and plots at various ranges.
So as to conduct FFT analysis of the recorded signals, 15 different signals with 5000 samplings of each welding machine were used.
It had been expected that the FFT would hand Sharapova, who won the 2012 and 2014 titles on the Parisian clay at least a wildcard into the qualifying tournament.
The decision was announced by the FFT on Facebook Live shortly before Sharapova was due to play her second round at the Italian Open in Rome.
Stage 2, as shown by the FFT, is irreversible, and diligent maintenance intervention will only mildly delay the progression to failure.
Tang, Liao and Chang [10] developed a Flexible-Radix-Configuration Multipath-Delay-Feedback (FRCMDF) architecture for variable length and multiple stream-based FFT processor.
To detect the cluster head's broadcasting channels and to join the cluster, each member node implements fast Fourier transform (FFT) and computes autocorrelation of an FFT bin sequence for each available channel of the member node.
(FFT) articles in ALTEX (http://www.altex.ch/ Food-for-Thought.104.html).

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