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About: Decimation-in-time (DIT) Radix-2 FFT

Module by: Douglas L. Jones. E-mail the author

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Name: Decimation-in-time (DIT) Radix-2 FFT
ID: m12016
Language: English (en)
Summary: The radix-2 algorithms are the simplest FFT algorithms. The decimation-in-time (DIT) radix-2 FFT recursively partitions a DFT into two half-length DFTs of the even-indexed and odd-indexed time samples. The outputs of these shorter FFTs are reused to compute many outputs, thus greatly reducing the total computational cost.
Subject: Science and Technology
Keywords: Cooley-Tukey, decimation in time, fast Fourier transform, FFT, radix-2, twiddle factor
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Douglas L. Jones (dl-jones@uiuc.edu)
Copyright Holders: Douglas L. Jones (dl-jones@uiuc.edu)
Maintainers: Douglas L. Jones (dl-jones@uiuc.edu), Harika Basana (ilsai@rice.edu), Kyle Clarkson (kclarks@gmail.com)
Latest version: 1.7 (history)
First publication date: May 14, 2004 5:44 pm -0500
Last revision to module: Sep 15, 2006 7:46 am -0500

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Version History

Version: 1.7 Sep 15, 2006 7:46 am -0500 by Douglas L. Jones
Changes: 
Added sections.
Added more text.
Version: 1.6 Sep 13, 2006 12:10 am -0500 by Douglas L. Jones
Changes: 
Added explanations and text.
Reformatted parts of program.
Added links in text.
Version: 1.5 Jul 19, 2004 1:27 pm -0500 by Kyle Clarkson
Changes: 
Added .eps images for better printing
Version: 1.4 Jun 18, 2004 2:58 pm -0500 by Kyle Clarkson
Changes: 
Added cnxns and links
Version: 1.3 Jun 17, 2004 2:01 pm -0500 by Kyle Clarkson
Changes: 
changed images to pngs
Version: 1.2 Jun 14, 2004 1:47 pm -0500 by Elizabeth Gregory
Changes: 
Corrected typos and added MathML.
Version: 1.1 Jun 7, 2004 3:56 pm -0500 by Kyle Clarkson
Changes: 
First Submission

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American Chemical Society (ACS) Style Guide:

Jones, D. Decimation-in-time (DIT) Radix-2 FFT, Connexions Web site. http://cnx.org/content/m12016/1.7/, Sep 15, 2006.

American Medical Assocation (AMA) Manual of Style:

Jones D. Decimation-in-time (DIT) Radix-2 FFT [Connexions Web site]. September 15, 2006. Available at: http://cnx.org/content/m12016/1.7/.

American Psychological Assocation (APA) Publication Manual:

Jones, D. (2006, September 15). Decimation-in-time (DIT) Radix-2 FFT. Retrieved from the Connexions Web site: http://cnx.org/content/m12016/1.7/

Chicago Manual of Style (Bibliography):

Jones, Douglas. "Decimation-in-time (DIT) Radix-2 FFT." Connexions. September 15, 2006. http://cnx.org/content/m12016/1.7/.

Chicago Manual of Style (Note):

Douglas Jones, "Decimation-in-time (DIT) Radix-2 FFT," Connexions, September 15, 2006, http://cnx.org/content/m12016/1.7/.

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

Jones, D. 2006. Decimation-in-time (DIT) Radix-2 FFT. Connexions, September 15, 2006. http://cnx.org/content/m12016/1.7/.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas. Decimation-in-time (DIT) Radix-2 FFT. Connexions. 15 Sep. 2006 <http://cnx.org/content/m12016/1.7/>.