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About: Deriving the Fast Fourier Transform

Module by: Don Johnson

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Name: Deriving the Fast Fourier Transform
ID: m0528
Language: English (en)
Summary: Using the Cooley-Tukey algorithm to derive fast transforms.
Subject: Science and Technology
Keywords: butterfly, complexity, Cooley-Tukey, fast fourier transform, fft, order
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: Prashant Singh (prash@ece.rice.edu), Richard Baraniuk (richb@rice.edu), Mariyah Poonawala (mariyah@rice.edu)

Version: 2.7 (history)
Created: Aug 9, 2000 12:00 am GMT-5
Revised: Aug 4, 2004 4:02 pm GMT-5

Version History

Version: 2.7 Aug 4, 2004 4:02 pm GMT-5 by Elizabeth Gregory
Changes:
Updated to CNXML 0.5

Version: 2.6 Jul 24, 2003 10:44 am GMT-5 by Mariyah Poonawala
Changes:
added maintainer

Version: 2.5 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom
Changes:
addmaintainers

Version: 2.4 May 8, 2002 12:00 am GMT-5 by (Unknown)
Changes:
fixed cnxn and changed hardcoded figure numbers on other cnxns, changed ci to cn where needed, removed middot for times, fixed first long eqn, changed unicode script l to just l

Version: 2.3 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks
Changes:
Converted to CNXML 0.3.5

Version: 2.2 Jun 7, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Updated version number.

Version: 2.1 Jun 6, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Updated hideous equation to content MathML.  Upgraded to CNXML 0.3.  Changed confusing sentences.

Version: 2.0 Oct 17, 2000 12:00 am GMT-5 by Brent Hendricks
Changes:
Bumped version to 2.0

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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: Deriving the Fast Fourier Transform
  • the Connexions URL where the work can be found: http://cnx.org/content/m0528/2.7/

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. Deriving the Fast Fourier Transform, Connexions Web site. http://cnx.org/content/m0528/2.7/, Aug 4, 2004.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Deriving the Fast Fourier Transform [Connexions Web site]. August 4, 2004. Available at: http://cnx.org/content/m0528/2.7/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2004, August 4). Deriving the Fast Fourier Transform. Retrieved from the Connexions Web site: http://cnx.org/content/m0528/2.7/

Chicago Manual of Style (Bibliography):

Johnson, Don. "Deriving the Fast Fourier Transform." Connexions. August 4, 2004. http://cnx.org/content/m0528/2.7/.

Chicago Manual of Style (Note):

Don Johnson, "Deriving the Fast Fourier Transform," Connexions, August 4, 2004, http://cnx.org/content/m0528/2.7/.

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

Johnson, D. 2004. Deriving the Fast Fourier Transform. Connexions, August 4, 2004. http://cnx.org/content/m0528/2.7/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Deriving the Fast Fourier Transform. Connexions. 4 Aug. 2004 <http://cnx.org/content/m0528/2.7/>.