Connexions

Sections
You are here: Home » Content » Decimation-in-Frequency (DIF) Radix-2 FFT

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

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

View content

Metadata

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)
Latest version: 1.6 (history)
First publication date: May 17, 2004 3:59 pm GMT-5
Last revision to module: Sep 17, 2006 8:47 am GMT-5
Module XML: m12018_1.6.cnxml

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

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

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: Douglas Jones
  • the title of the work: Decimation-in-Frequency (DIF) Radix-2 FFT
  • the Connexions URL where the work can be found: http://cnx.org/content/m12018/1.6/

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:

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/>.