Fast Fourier transform: Difference between revisions
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Invented by James W. Cooley and John W. Tukey in 1965 (Ref 1). | Invented by James W. Cooley and John W. Tukey in 1965 (Ref 1). | ||
The fast Fourier transform reduces the number of operations from <math>N^2</math> to <math>N \ln N</math>. | The fast Fourier transform reduces the number of operations from <math>N^2</math> to <math>N \ln N</math>. | ||
==References== | ==References== | ||
#[http://links.jstor.org/sici?sici=0025-5718%28196504%2919%3A90%3C297%3AAAFTMC%3E2.0.CO%3B2-7 James W. Cooley and John W. Tukey", "An Algorithm for the Machine Calculation of Complex Fourier Series", Mathematics of Computation '''19''' pp. 297-301 (1965)] | #[http://links.jstor.org/sici?sici=0025-5718%28196504%2919%3A90%3C297%3AAAFTMC%3E2.0.CO%3B2-7 James W. Cooley and John W. Tukey", "An Algorithm for the Machine Calculation of Complex Fourier Series", Mathematics of Computation '''19''' pp. 297-301 (1965)] | ||
==External resources== | |||
*[ftp://ftp.dl.ac.uk/ccp5/ALLEN_TILDESLEY/F.37 Routines to calculate Fourier transforms] sample FORTRAN computer code from the book [http://www.oup.com/uk/catalogue/?ci=9780198556459 M. P. Allen and D. J. Tildesley "Computer Simulation of Liquids", Oxford University Press (1989)]. | |||
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
Latest revision as of 19:38, 8 February 2009
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Invented by James W. Cooley and John W. Tukey in 1965 (Ref 1). The fast Fourier transform reduces the number of operations from Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N^2} to Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N \ln N} .
References[edit]
External resources[edit]
- Routines to calculate Fourier transforms sample FORTRAN computer code from the book M. P. Allen and D. J. Tildesley "Computer Simulation of Liquids", Oxford University Press (1989).