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About: Discrete-Time Fourier Transform (DTFT)

Module by: Don Johnson

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Name: Discrete-Time Fourier Transform (DTFT)
ID: m10247
Language: English (en)
Summary: Discussion of Discrete-time Fourier Transforms. Topics include comparison with analog transforms and discussion of Parseval's theorem.
Subject: Mathematics and Statistics
Keywords: analog, digital, digital signal processing, discrete-time, discrete-time Fourier transform, DSP, Fourier transform, Nyquist frequency, Parseval's Theorem
License: Creative Commons Attribution License CC-BY 1.0
Authors: Don Johnson (dhj@rice.edu)
Copyright Holders: Don Johnson (dhj@rice.edu)
Maintainers: Don Johnson (dhj@rice.edu), CJ Ganier (seejaie@rice.edu), John Cottrell (jac3@rice.edu), Benjamin Fite (bfite@rice.edu)
Version: 2.30 (history)
Created: Aug 7, 2001 12:00 am GMT-5
Revised: Jun 11, 2009 9:21 am GMT-5

Version History

Version: 2.30 Jun 11, 2009 9:21 am GMT-5 by Connexions
Changes: 
Modified markup for explicit .eps image reference
Version: 2.29 Oct 22, 2008 9:09 am GMT-5 by Don Johnson
Changes: 
Altered the appearance of an equation.
Version: 2.28 May 31, 2007 9:08 am GMT-5 by Don Johnson
Changes: 
Found a math symbol in text.
Version: 2.27 Apr 14, 2005 2:57 pm GMT-5 by Charlet Reedstrom
Changes: 
update to cnxml-0.5, fix typo, update mathml to best practices
Version: 2.26 Aug 18, 2003 11:43 pm GMT-5 by Don Johnson
Changes: 
Fixed another link error.
Version: 2.25 Aug 18, 2003 11:38 pm GMT-5 by Don Johnson
Changes: 
Fixed a link error and a misspelled word.
Version: 2.24 Jul 27, 2003 4:22 pm GMT-5 by Don Johnson
Changes: 
Fixed intermodule links.
Version: 2.23 Oct 16, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Fixed some math errors.
Version: 2.22 Aug 23, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
- ran spectrum12.eps through eps2eps
Version: 2.21 Aug 22, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Put some things in math mode that should have been in math mode.
Version: 2.20 Aug 16, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Cleaned up some math expressions.
Version: 2.19 Aug 16, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Fixed a subscript error.
Version: 2.18 Aug 3, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Fixed several typos.
Version: 2.17 Jul 16, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
fixed little errors
Version: 2.16 Jul 9, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
change a minor error.
Liqun
Version: 2.15 Jul 9, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
1> change the version.
2> fix congugate instead of *.
3> fix &pi and &infin
4> using forall for condition.
Liqun
Version: 2.14 Jun 28, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Inserted space in title
Version: 2.13 Oct 20, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Fixed several typos.
Version: 2.12 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks
Changes: 
Converted to CNXML 0.3.5
Version: 2.11 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
put figure names back in
Version: 2.10 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
removed figure names
Version: 2.8 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
change one equation, from overbar of S to S^*.
Version: 2.7 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
I added a cnxn to another module for the Nyquist frequency.
-erin
Version: 2.6 Aug 23, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
fixed blanks
Version: 2.5 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Changed unit-sample link
Version: 2.4 Aug 21, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Moved the content around inside the module so that it matches the changed .tex files.
Version: 2.3 Aug 20, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
I re-uploaded the images and their .eps files.
Version: 2.2 Aug 20, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Concatenated m0524 to the end of the module.
Version: 2.1 Aug 7, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
new module created by combining 501, 525, 526 and 506
Version: 2.0 Aug 7, 2001 12:00 am GMT-5 by (Unknown)
Changes: 
Added initial template for new module m10247

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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-Time Fourier Transform (DTFT), Connexions Web site. http://cnx.org/content/m10247/2.30/, Jun 11, 2009.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Discrete-Time Fourier Transform (DTFT) [Connexions Web site]. June 11, 2009. Available at: http://cnx.org/content/m10247/2.30/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2009, June 11). Discrete-Time Fourier Transform (DTFT). Retrieved from the Connexions Web site: http://cnx.org/content/m10247/2.30/

Chicago Manual of Style (Bibliography):

Johnson, Don. "Discrete-Time Fourier Transform (DTFT)." Connexions. June 11, 2009. http://cnx.org/content/m10247/2.30/.

Chicago Manual of Style (Note):

Don Johnson, "Discrete-Time Fourier Transform (DTFT)," Connexions, June 11, 2009, http://cnx.org/content/m10247/2.30/.

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

Johnson, D. 2009. Discrete-Time Fourier Transform (DTFT). Connexions, June 11, 2009. http://cnx.org/content/m10247/2.30/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Discrete-Time Fourier Transform (DTFT). Connexions. 11 June 2009 <http://cnx.org/content/m10247/2.30/>.