It may also be implemented using pre-computed wavetables or inverse Fast Fourier transforms.

* Fast Fourier Transform

Recent years have seen the development of new techniques based on the Fast Fourier Transform.

The Fast Fourier Transform process converts time-domain samples into frequency domain spectra.

Examples of algorithms are the Fast Fourier transform ( FFT ), finite impulse response ( FIR ) filter, Infinite impulse response ( IIR ) filter, and adaptive filters such as the Wiener and Kalman filters.

Many digital filters are based on the Fast Fourier transform, a mathematical algorithm that quickly extracts the frequency spectrum of a signal, allowing the spectrum to be manipulated ( such as to create band-pass filters ) before converting the modified spectrum back into a time-series signal.

# REDIRECT Fast Fourier transform

* " Improving the Time Complexity of Matsui's Linear Cryptanalysis ", improves the complexity thanks to the Fast Fourier Transform

* Fast Fourier transform ( FFT ), a fast algorithm for computing a Discrete Fourier transform

Many fundamental DSP algorithms, such as FIR filters or the Fast Fourier transform ( FFT ) depend heavily on multiply – accumulate performance.

Fast Fourier transform ( FFT ) software in combination with a sound card allows reception of all frequencies below the Nyquist frequency simultaneously in the form of spectrogrammes.

* Perl script to decode a wav file in KCS format to a text file using Fast Fourier Transforms

* Mark A. O ' Neill, " Faster than Fast Fourier ", Byte 13 ( 4 ): 293-300, ( 1988 ).

* Coherent sampling, a relationship used in Fast Fourier transforms

Filterbank strategies use Fast Fourier Transforms to divide the signal into different frequency bands.

Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations, often involving the use of the Fast Fourier Transform.

Since we're only interested in a finite window of frequencies ( of size n, say ) this can be done using a Fast Fourier Transform algorithm.

One can show that if is infinitely differentiable, then the numerical algorithm using Fast Fourier Transforms will converge faster than any polynomial in the grid size h. That is, for any n > 0, there is a < math > C <

Fast Fourier Transform ( and the inverse iFFT ) is used to convert the signal on the line into the individual bins.

Estimating the frequency response for a physical system generally involves exciting the system with an input signal, measuring both input and output time histories, and comparing the two through a process such as the Fast Fourier Transform ( FFT ).

* Fast Fourier Transform algorithm presented by Carle David Tolme Runge.

* Cornelius Lanczos — Collected Published Papers with Commentaries The Fast Fourier Transform andSmoothing Data by Analysis and by Eye ed.

* 1903-A Fast Fourier Transform algorithm presented by Carle David Tolme Runge

The Fast Walsh transform can be used to efficiently generate samples using this model.

* D. A. Bini and E. Bozzo, " Fast discrete transform by means of eigenpolynomials ," Computers & Mathematics ( with Applications ) 26 ( 9 ), 35 – 52 ( 1993 ).

Numerically, is obtained from using the Fast Fourier transform ( FFT ) and is obtained from using the inverse FFT.

* Fast Fourier transform

** Fast Fourier transform

Fast Walsh – Hadamard transform This is a faster way to calculate the Walsh spectrum of ( 1, 0, 1, 0, 0, 1, 1, 0 ).

# REDIRECT Fast Fourier transform

Combined, these two properties make the Fast wavelet transform ( FWT ) an alternative to the conventional Fast Fourier Transform ( FFT ).

# REDIRECT Fast Fourier transform

The algorithm uses recursive Fast Fourier transforms in rings with 2 < sup > 2 < sup > n </ sup ></ sup > + 1 elements, a specific type of number theoretic transform.

* D = Doppler filter size ( transmit pulses in each Fast Fourier transform )

** Discrete Fourier transform, Fast Fourier transform ( FFT )

His most significant contribution to the world of mathematics and digital signal processing is the Fast Fourier transform, which he co-developed with John Tukey ( see Cooley – Tukey FFT algorithm ) while working for the research division of IBM in 1965.

: After pitch conversion and timbre manipulation, the engine does transforms such as Inverse Fast Fourier transform ( IFFT ) to output synthesized voices.

The method uses Fourier analysis ( a 2-dimensional Fast Fourier transform ) to determine localized slopes on a curving surface.

| align = left | " Fast " Eddie Davis

| align = left | " Fast " Eddie Davis

It was described by critic Steve Huey as " Fast, furious, and funny ... Mike Muir proves himself an articulate lyricist and commentator, delving into subjects like alienation, depression, and Social nonconformity | nonconformist politics with intelligence and humor.

Image: Fast Flying Ferries Velsen. jpg | Connexxion Voskhod hydrofoil

After the Mercer Arts Center collapsed in August 1973, there were few locations in New York where unsigned bands could play original music, and some of the Mercer refugees, including Suicide, The Fast, Wayne County and the Magic Tramps all played in the very early days of CBGB. Marky Ramone of the Ramones and Debbie Harry of Blondie ( band ) | Blondie attend a screening of Burning Down the House, a 2009 documentary about CBGB's heyday.

File: Wembley Central railway station 2105969 767c3da5. jpg | View northward, from Down Fast platform, with Cup Final Special in 1962

| Lasith Malinga || || Right-Handed Bat || Right-Arm Fast || Nondescripts || ODI, Twenty20 || 99

File: Adirondacks-Snapping Turtle-7. JPG | Fast swimming snapping turtle in a shallow water

Nancy & Emily and Bill & Joe complete in a coin-counting Fast Forward task during The Amazing Race 1 | season 1

| cruise speed main = 484 mph ( Fast Cruise 536 mph )

File: M-60 tanks at dock REFORGER 86. jpg | M60 tanks on the deck of the Fast Sealift Ship USNS Antares ( T-AKR-294 ) in 1986

Fast bowler Graham Onions bowling for Durham County Cricket Club | Durham against Lancashire County Cricket Club | Lancashire in the 2012 Friends Life t20

| align = left | " Fast " Eddie Richardson

| 1996 || " Too Fast for Me " || Best Video ||

Image: Fast Roping. jpg | An airman fast-ropes out of a HH-60 Pave Hawk.

Image: HK MongkokStadium FastFoodKiosk. JPG | Fast Food Kiosk

Image: St Mary Cray station platform 4 look west. JPG | Fast eastbound platform 4 looking west

Image: St Mary Cray stn platform 3 look east. JPG | Fast westbound platform 3 looking west

Image: Cambridge Heath stn fast tracks look north. JPG | Fast tracks looking north

Image: London Fields stn fast tracks look north. JPG | Fast tracks looking north