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About: Decimation-in-Frequency (DIF) Radix-2 FFT

Module by: Douglas L. Jones

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Name: Decimation-in-Frequency (DIF) Radix-2 FFT
ID: m12018
Language: English (en)
Summary: The radix-2 algorithms are the simplest FFT algorithms. The decimation-in-frequency (DIF) radix-2 FFT partitions the DFT computation into even-indexed and odd-indexed outputs, which can each be computed by shorter-length DFTs of different combinations of input samples. Recursive application of this decomposition to the shorter-length DFTs results in the full radix-2 decimation-in-frequency FFT.
Subject: Science and Technology
Keywords: Cooley-Tukey, decimation in frequency, 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)
Version: 1.6 (history)
Created: May 17, 2004 3:59 pm GMT-5
Revised: Sep 17, 2006 8:47 am GMT-5

Version History

Version: 1.6 Sep 17, 2006 8:47 am GMT-5 by Douglas L. Jones
Changes: 
Added a lot of text.
Fixed typos and equation errors.
Added many links in text.
Version: 1.5 Jul 23, 2004 11:35 am GMT-5 by Kyle Clarkson
Changes: 
Added .eps versions of images
Version: 1.4 Jun 21, 2004 2:32 pm GMT-5 by Kyle Clarkson
Changes: 
Fixed Typo in Title
Version: 1.3 Jun 18, 2004 3:08 pm GMT-5 by Kyle Clarkson
Changes: 
Added cnxns and links
Version: 1.2 Jun 17, 2004 2:03 pm GMT-5 by Kyle Clarkson
Changes: 
changed images to pngs
Version: 1.1 Jun 7, 2004 3:57 pm GMT-5 by Kyle Clarkson
Changes: 
First Submission

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American Chemical Society (ACS) Style Guide:

Jones, D. Decimation-in-Frequency (DIF) Radix-2 FFT, Connexions Web site. http://cnx.org/content/m12018/1.6/, Sep 17, 2006.

American Medical Assocation (AMA) Manual of Style:

Jones D. Decimation-in-Frequency (DIF) Radix-2 FFT [Connexions Web site]. September 17, 2006. Available at: http://cnx.org/content/m12018/1.6/.

American Psychological Assocation (APA) Publication Manual:

Jones, D. (2006, September 17). Decimation-in-Frequency (DIF) Radix-2 FFT. Retrieved from the Connexions Web site: http://cnx.org/content/m12018/1.6/

Chicago Manual of Style (Bibliography):

Jones, Douglas. "Decimation-in-Frequency (DIF) Radix-2 FFT." Connexions. September 17, 2006. http://cnx.org/content/m12018/1.6/.

Chicago Manual of Style (Note):

Douglas Jones, "Decimation-in-Frequency (DIF) Radix-2 FFT," Connexions, September 17, 2006, http://cnx.org/content/m12018/1.6/.

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

Jones, D. 2006. Decimation-in-Frequency (DIF) Radix-2 FFT. Connexions, September 17, 2006. http://cnx.org/content/m12018/1.6/.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas. Decimation-in-Frequency (DIF) Radix-2 FFT. Connexions. 17 Sep. 2006 <http://cnx.org/content/m12018/1.6/>.