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About: DFT Definition and Properties

Module by: Douglas L. Jones

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Name: DFT Definition and Properties
ID: m12019
Language: English (en)
Summary: The discrete Fourier transform (DFT) and its inverse (IDFT) are the primary numerical transforms relating time and frequency in digital signal processing. The DFT has a number of important properties relating time and frequency, including shift, circular convolution, multiplication, time-reversal and conjugation properties, as well as Parseval's theorem equating time and frequency energy.
Subject: Mathematics and Statistics, Science and Technology
Keywords: circular convolution, convolution property, DFT, DFT properties, DFT symmetry, discrete Fourier transform, Parseval's theorem, shift property, time reversal
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), Kyle Clarkson (kclarks@gmail.com)
Version: 1.5 (history)
Created: May 25, 2004 1:32 pm GMT-5
Revised: Aug 27, 2006 8:21 pm GMT-5

Version History

Version: 1.5 Aug 27, 2006 8:21 pm GMT-5 by Douglas L. Jones
Changes: 
Corrected typos.
Added abstract, keywords, and some descriptive text.
Version: 1.4 Jul 19, 2004 11:40 am GMT-5 by Kyle Clarkson
Changes: 
Added .eps files for better printed figures
Version: 1.3 Jun 18, 2004 11:31 am GMT-5 by Kyle Clarkson
Changes: 
Added cnxns and links
Version: 1.2 Jun 17, 2004 1:57 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. DFT Definition and Properties, Connexions Web site. http://cnx.org/content/m12019/1.5/, Aug 27, 2006.

American Medical Assocation (AMA) Manual of Style:

Jones D. DFT Definition and Properties [Connexions Web site]. August 27, 2006. Available at: http://cnx.org/content/m12019/1.5/.

American Psychological Assocation (APA) Publication Manual:

Jones, D. (2006, August 27). DFT Definition and Properties. Retrieved from the Connexions Web site: http://cnx.org/content/m12019/1.5/

Chicago Manual of Style (Bibliography):

Jones, Douglas. "DFT Definition and Properties." Connexions. August 27, 2006. http://cnx.org/content/m12019/1.5/.

Chicago Manual of Style (Note):

Douglas Jones, "DFT Definition and Properties," Connexions, August 27, 2006, http://cnx.org/content/m12019/1.5/.

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

Jones, D. 2006. DFT Definition and Properties. Connexions, August 27, 2006. http://cnx.org/content/m12019/1.5/.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas. DFT Definition and Properties. Connexions. 27 Aug. 2006 <http://cnx.org/content/m12019/1.5/>.