OpenStax CNX

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 the content: Decimation-in-Frequency (DIF) Radix-2 FFT

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 -0500
Last revision to module: Sep 17, 2006 8:47 am -0500

Downloads

PDF: m12018_1.6.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m12018_1.6.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.6 Sep 17, 2006 8:47 am -0500 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 -0500 by Kyle Clarkson
Changes:
Added .eps versions of images

Version: 1.4 Jun 21, 2004 2:32 pm -0500 by Kyle Clarkson
Changes:
Fixed Typo in Title

Version: 1.3 Jun 18, 2004 3:08 pm -0500 by Kyle Clarkson
Changes:
Added cnxns and links

Version: 1.2 Jun 17, 2004 2:03 pm -0500 by Kyle Clarkson
Changes:
changed images to pngs

Version: 1.1 Jun 7, 2004 3:57 pm -0500 by Kyle Clarkson
Changes:
First Submission

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX 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 OpenStax_CNX 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, OpenStax_CNX 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 [OpenStax_CNX 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 OpenStax_CNX Web site: http://cnx.org/content/m12018/1.6/

Chicago Manual of Style (Bibliography):

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

Chicago Manual of Style (Note):

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