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About: Derivation of the Fourier Transform

Module by: Don Johnson. E-mail the author

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Name: Derivation of the Fourier Transform
ID: m0046
Language: English (en)
Summary: This module shows how to derive the scintillating and useful Fourier transform.
Subject: Mathematics and Statistics
Keywords: Fourier series, Fourier transform, inverse Fourier transform, Parseval's theorem, pulse
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), Shawn Stewart (mrshawn@alumni.rice.edu), Benjamin Fite (bfite@rice.edu), Mariyah Poonawala (mariyah@rice.edu), Prashant Singh (prash@ece.rice.edu)

Latest version: 2.21 (history)
First publication date: Jul 25, 2000 12:00 am GMT-5
Last revision to module: Jun 4, 2009 12:18 pm GMT-5

Module XML: m0046_2.21.cnxml

Version History

Version: 2.21 Jun 4, 2009 12:18 pm GMT-5 by Connexions
Changes:
Modified markup for explicit .eps image reference

Version: 2.20 Jan 30, 2009 4:27 pm US/Central by Don Johnson
Changes:
Fixed a small math error.

Version: 2.19 Apr 13, 2005 3:43 pm GMT-5 by Charlet Reedstrom
Changes:
update to cnxml-0.5, update some mathml

Version: 2.18 Jul 27, 2003 4:41 pm GMT-5 by Don Johnson
Changes:
Fixed intermodule link errors.

Version: 2.17 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom
Changes:
addmaintainers

Version: 2.16 Oct 21, 2002 12:00 am GMT-5 by (Unknown)
Changes:
replaced unicode apos with keyboard stroke and fixed markup of and equation

Version: 2.15 Aug 23, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Fixed a spelling error and a math display problem.

Version: 2.14 Aug 16, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Deleted equation numbers.

Version: 2.13 Jul 12, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Converted to 4.0 and corrected typos

Version: 2.12 Apr 12, 2002 12:00 am GMT-5 by (Unknown)
Changes:
edited mathml and cnxml

Version: 2.11 Oct 12, 2001 12:00 am GMT-5 by Brent Hendricks
Changes:
Sync with DB

Version: 2.10 Oct 7, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Fixed integral limit and subscript errors.

Version: 2.9 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks
Changes:
Converted to CNXML 0.3.5

Version: 2.8 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Changed keywords.

Version: 2.7 Aug 24, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Keyword changes.
Deleted post-math spaces.

Version: 2.6 Aug 20, 2001 12:00 am GMT-5 by (Unknown)
Changes:
I added the .eps files to the system.

Version: 2.5 Aug 15, 2001 12:00 am GMT-5 by (Unknown)
Changes:
I changed the tables to cals tables.

Version: 2.4 Aug 15, 2001 12:00 am GMT-5 by (Unknown)
Changes:
- Added spectrum5.png file

Version: 2.3 Jul 17, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Remodularized, some minor fixes.

Version: 2.2 May 30, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Corrected keywords and version numbers.

Version: 2.1 May 29, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Cleaned up MathML, made changes from 0.1 to 0.3.

Version: 2.0 Aug 14, 2000 12:00 am GMT-5 by Brent Hendricks
Changes:
Bumped version to 2.0

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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: Don Johnson
  • the title of the work: Derivation of the Fourier Transform
  • the Connexions URL where the work can be found: http://cnx.org/content/m0046/2.21/

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:

Johnson, D. Derivation of the Fourier Transform, Connexions Web site. http://cnx.org/content/m0046/2.21/, Jun 4, 2009.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Derivation of the Fourier Transform [Connexions Web site]. June 4, 2009. Available at: http://cnx.org/content/m0046/2.21/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2009, June 4). Derivation of the Fourier Transform. Retrieved from the Connexions Web site: http://cnx.org/content/m0046/2.21/

Chicago Manual of Style (Bibliography):

Johnson, Don. "Derivation of the Fourier Transform." Connexions. June 4, 2009. http://cnx.org/content/m0046/2.21/.

Chicago Manual of Style (Note):

Don Johnson, "Derivation of the Fourier Transform," Connexions, June 4, 2009, http://cnx.org/content/m0046/2.21/.

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

Johnson, D. 2009. Derivation of the Fourier Transform. Connexions, June 4, 2009. http://cnx.org/content/m0046/2.21/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Derivation of the Fourier Transform. Connexions. 4 June 2009 <http://cnx.org/content/m0046/2.21/>.