Cooley–Tukey FFT algorithm

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History

Asteroids Pallas Juno Neo-Latin IBM

15 related topics

The radix-2 DIT case

Integer Power of two Butterfly Divide and conquer algorithms Breadth-first

25 related topics

Variations

Split radix Cache CPU pipeline Transposed Four-step FFT

10 related topics

Data reordering, bit reversal, and in-place algorithms

Permutation Binary Logarithm SIMD Depth-first

5 related topics

Topics to explore

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Overview

J. W. Cooley James Cooley
John Tukey
Fast Fourier transform
Discrete Fourier transform
Composite Composite number
Recursively Recursion
Smooth numbers Smooth number
Rader's Rader's FFT algorithm
Bluestein's Bluestein's FFT algorithm
Prime-factor algorithm Prime-factor FFT algorithm
Relatively prime
Carl Friedrich Gauss

History

Asteroids Asteroid
Pallas 2 Pallas
Juno 3 Juno
Neo-Latin
IBM
Princeton Princeton University
Nuclear-weapon tests Nuclear testing
Soviet Union
Time series
Richard Garwin
Helium-3
Analog-to-digital converters Analog-to-digital converter
KHz Hertz
I. J. Good
Chinese remainder theorem

The radix-2 DIT case

Integer
Power of two
Butterfly Butterfly diagram
Divide and conquer algorithms Divide and conquer algorithm
Breadth-first Breadth-first search
Danielson G. C. Danielson
Lanczos Cornelius Lanczos
Lemma Lemma (mathematics)
Runge's Carl David Tolmé Runge
Linearithmic
Mechanical or electronic computers History of computing hardware
Manual calculation Human computer
Adding machines Adding machine
IBM 7094
Single precision Floating point
Pseudocode
Out-of-place In-place algorithm
Stride Stride of an array
Array Array data structure
Bit-reversal permutation
Twiddle factors Twiddle factor
Cache Cache (computing)
Depth-first
Breadth-first
Memory locality

Idea

Roots of unity
Butterfly Butterfly (FFT algorithm)
Dataflow diagram

Variations

Split radix Split-radix FFT algorithm
Cache CPU cache
CPU pipeline
Transposed Transpose
Four-step FFT
Out-of-core
Cache-oblivious algorithm
Column-major Column-major order
Row-major order
Processor registers Processor register

Data reordering, bit reversal, and in-place algorithms

Permutation
Binary Binary numeral system
Logarithm
SIMD
Depth-first Depth-first search

Advanced semantic analysis

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Map overview Semantic statistics

Nodes77

Edges76

Triples1

Avg. degree1.97

Density0.025974

Components1

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Important terminology

algorithm cooley tukey dft radix-2 fft displaystyle dit bit time reversal two output size dfts n2 transform data also one

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
adding machines	instance of	possibly with mechanical aids	0.80	text

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History

The radix-2 DIT case

Variations

Data reordering, bit reversal, and in-place algorithms

Key facts & relationships

Topics to explore

Overview

History

The radix-2 DIT case

Idea

Variations

Data reordering, bit reversal, and in-place algorithms

Advanced semantic analysis

Map overview Semantic statistics