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About: The FFT Algorithm

Module by: Robert Nowak. E-mail the author

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Name: The FFT Algorithm
ID: m10964
Language: English (en)
Summary: The FFT, an efficient way to compute the DFT, is introduced and derived throughout this module.
Subject: Science and Technology
Keywords: CTFT, DFT, DTFT, fast fourier transform, FFT, frequency domain
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Robert Nowak (
Copyright Holders: Robert Nowak (
Maintainers: Liqun Wang (, Robert Nowak (

Latest version: 2.6 (history)
First publication date: Dec 12, 2002 12:00 am -0600
Last revision to module: Jul 22, 2005 2:30 pm -0500


PDF: m10964_2.6.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10964_2.6.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: 2.6 Jul 22, 2005 2:30 pm -0500 by Charlet Reedstrom
update to cnxml-0.5, fix typos, update apply mo markup

Version: 2.5 Mar 11, 2003 12:00 am -0600 by Michael Haag
Changed abstract, reformatted the first section, and examined comments.

Version: 2.4 Feb 28, 2003 12:00 am -0600 by Charlet Reedstrom
edited - emphasis to term, removed extraneous apply leq and marked up lots of inline math and variables as math

Version: 2.3 Dec 20, 2002 12:00 am -0600 by (Unknown)
checking spelling.

Version: 2.2 Dec 18, 2002 12:00 am -0600 by (Unknown)
resubmit the module. Figure not finished yet.

Version: 2.1 Dec 18, 2002 12:00 am -0600 by (Unknown)
Finish this module. Figure not included.

Version: 2.0 Dec 12, 2002 12:00 am -0600 by (Unknown)
Try to get the ID

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American Chemical Society (ACS) Style Guide:

Nowak, R. The FFT Algorithm, OpenStax-CNX Web site., Jul 22, 2005.

American Medical Assocation (AMA) Manual of Style:

Nowak R. The FFT Algorithm [OpenStax-CNX Web site]. July 22, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Nowak, R. (2005, July 22). The FFT Algorithm. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Nowak, Robert. "The FFT Algorithm." OpenStax-CNX. July 22, 2005.

Chicago Manual of Style (Note):

Robert Nowak, "The FFT Algorithm," OpenStax-CNX, July 22, 2005,

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Nowak, R. 2005. The FFT Algorithm. OpenStax-CNX, July 22, 2005.

Modern Languages Association (MLA) Style Manual:

Nowak, Robert. The FFT Algorithm. OpenStax-CNX. 22 July 2005 <>.