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About: Discrete Fourier Transform

Module by: Don Johnson. E-mail the author

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Name: Discrete Fourier Transform
ID: m0502
Language: English (en)
Summary: The Fourier transform can be computed in discrete-time despite the complications caused by a finite signal and continuous frequency.
Subject: Mathematics and Statistics, Science and Technology
Keywords: DFT, Discrete Fourier Transform
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Don Johnson (
Copyright Holders: Don Johnson (
Maintainers: CJ Ganier (, Don Johnson (

Latest version: 2.5 (history)
First publication date: Jul 17, 2000 12:00 am -0500
Last revision to module: May 9, 2005 7:41 pm -0500


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Version History

Version: 2.5 May 9, 2005 7:41 pm -0500 by Charlet Reedstrom
update to cxnml-0.5

Version: 2.4 May 3, 2002 12:00 am -0500 by (Unknown)
removed unicode numbers for apostrophes, removed/changed mode on math tag, changed list to set

Version: 2.3 Sep 11, 2001 12:00 am -0500 by Brent Hendricks
Converted to CNXML 0.3.5

Version: 2.2 May 31, 2001 12:00 am -0500 by (Unknown)
Cleaned up emphasis, replacing it with term.

Version: 2.1 May 25, 2001 12:00 am -0500 by (Unknown)
added the abstract to the header and added me seejaie to the maintainers in the header

Version: 2.0 Oct 17, 2000 12:00 am -0500 by Brent Hendricks
Bumped version to 2.0

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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:

Johnson, D. Discrete Fourier Transform, OpenStax_CNX Web site., May 9, 2005.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Discrete Fourier Transform [OpenStax_CNX Web site]. May 9, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2005, May 9). Discrete Fourier Transform. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Johnson, Don. "Discrete Fourier Transform." OpenStax_CNX. May 9, 2005.

Chicago Manual of Style (Note):

Don Johnson, "Discrete Fourier Transform," OpenStax_CNX, May 9, 2005,

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

Johnson, D. 2005. Discrete Fourier Transform. OpenStax_CNX, May 9, 2005.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Discrete Fourier Transform. OpenStax_CNX. 9 May 2005 <>.