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About: Fast Fourier Transform (FFT)

Module by: Don Johnson

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Metadata

Name: Fast Fourier Transform (FFT)
ID: m10250
Language: English (en)
Summary: The DFT can be reduced from exponential time with the Fast Fourier Transform algorithm.
Subject: Science and Technology
Keywords: butterfly, computational complexity, Cooley-Tukey algorithm, DFT, discrete Fourier transform, fast Fourier transform, FFT
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 1.0)

Authors: Don Johnson (dhj@rice.edu)
Copyright Holders: Don Johnson (dhj@rice.edu)
Maintainers: Don Johnson (dhj@rice.edu), CJ Ganier (seejaie@rice.edu), John Cottrell (jac3@rice.edu)

Version: 2.15 (history)
Created: Aug 8, 2001 12:00 am GMT-5
Revised: May 31, 2007 10:00 am GMT-5

Version History

Version: 2.15 May 31, 2007 10:00 am GMT-5 by Don Johnson
Changes:
Changed a paragraph break.

Version: 2.14 Apr 15, 2005 3:49 pm GMT-5 by Charlet Reedstrom
Changes:
update to cnxml-0.5

Version: 2.13 Oct 27, 2003 10:33 am US/Central by Don Johnson
Changes:
fixed the same error, but in a different place.

Version: 2.12 Oct 27, 2003 10:31 am US/Central by Don Johnson
Changes:
Fixed a math error.

Version: 2.11 Jul 27, 2003 3:53 pm GMT-5 by Don Johnson
Changes:
Added an exercise at end and fixed typos and link errors.

Version: 2.10 Aug 16, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Fixed minor typos.

Version: 2.9 Aug 7, 2002 12:00 am GMT-5 by (Unknown)
Changes:
changed script l to L

Version: 2.8 Aug 4, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Changed module title and fixed typos.

Version: 2.7 Jul 10, 2002 12:00 am GMT-5 by (Unknown)
Changes:
make some changes and change the version to 0.4.
Liqun

Version: 2.6 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks
Changes:
Converted to CNXML 0.3.5

Version: 2.5 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Changed keywords.

Version: 2.4 Aug 23, 2001 12:00 am GMT-5 by (Unknown)
Changes:
fixed blanks

Version: 2.3 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Added link to Gauss

Version: 2.2 Aug 20, 2001 12:00 am GMT-5 by (Unknown)
Changes:
I re-uploaded the images and their .eps files.

Version: 2.1 Aug 8, 2001 12:00 am GMT-5 by (Unknown)
Changes:
new module created by combining m0504 and m0528

Version: 2.0 Aug 8, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Added initial template for new module m10250

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If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include

  • the authors' names: Don Johnson
  • the title of the work: Fast Fourier Transform (FFT)
  • the Connexions URL where the work can be found: http://cnx.org/content/m10250/2.15/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Johnson, D. Fast Fourier Transform (FFT), Connexions Web site. http://cnx.org/content/m10250/2.15/, May 31, 2007.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Fast Fourier Transform (FFT) [Connexions Web site]. May 31, 2007. Available at: http://cnx.org/content/m10250/2.15/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2007, May 31). Fast Fourier Transform (FFT). Retrieved from the Connexions Web site: http://cnx.org/content/m10250/2.15/

Chicago Manual of Style (Bibliography):

Johnson, Don. "Fast Fourier Transform (FFT)." Connexions. May 31, 2007. http://cnx.org/content/m10250/2.15/.

Chicago Manual of Style (Note):

Don Johnson, "Fast Fourier Transform (FFT)," Connexions, May 31, 2007, http://cnx.org/content/m10250/2.15/.

Chicago Manual of Style (Reference, in Author-Date style):

Johnson, D. 2007. Fast Fourier Transform (FFT). Connexions, May 31, 2007. http://cnx.org/content/m10250/2.15/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Fast Fourier Transform (FFT). Connexions. 31 May 2007 <http://cnx.org/content/m10250/2.15/>.