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About: Fourier Series Approximation of a Square Wave

Module by: Don Johnson

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Name: Fourier Series Approximation of a Square Wave
ID: m0041
Language: English (en)
Summary: Shows how to use Fourier series to approximate a square wave, as opposed to the sinusoidal waves seen previously.
Subject: Science and Technology
Keywords: approximation by Fourier series, equality of Fourier series, Fourier series, Gibb's phenomenon, mean square equality, pointwise equality, rms, square wave, step function
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
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)

Version: 2.15 (history)
Created: Jul 24, 2000 12:00 am GMT-5
Revised: Jul 15, 2007 4:48 pm GMT-5

Version History

Version: 2.15 Jul 15, 2007 4:48 pm GMT-5 by Don Johnson
Changes:
 Corrected errors in equation (2).

Version: 2.14 Jun 8, 2005 3:19 pm GMT-5 by Charlet Reedstrom
Changes:
update to cnxml-0.5, fix typo, update units markup

Version: 2.13 Jun 27, 2002 12:00 am GMT-5 by (Unknown)
Changes:
updated module - still problems in print style sheet though

Version: 2.12 May 29, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Made few corrections in text.

Version: 2.11 Mar 25, 2002 12:00 am US/Central by (Unknown)
Changes:
edited mathml and fixed cnxns

Version: 2.10 Oct 2, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Corrected cos and sin error.

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 23, 2001 12:00 am GMT-5 by (Unknown)
Changes:
fixed whitespace punctuation errors

Version: 2.6 Aug 23, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Fixed </m:math> , (Jenn)

Version: 2.5 Aug 20, 2001 12:00 am GMT-5 by (Unknown)
Changes:
I re-uploaded the images and their corresponding EPS files.

Version: 2.4 Jul 17, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Remodularized, some minor fixes.

Version: 2.3 May 30, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Changed version number

Version: 2.2 May 29, 2001 12:00 am GMT-5 by (Unknown)
Changes:
No changes.

Version: 2.1 May 29, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Updated from 0.1 to 0.3.  Added abstract, keywords, and content MathML.

Version: 2.0 Aug 17, 2000 12:00 am GMT-5 by Brent Hendricks
Changes:
Bumped version to 2.0

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American Chemical Society (ACS) Style Guide:

Johnson, D. Fourier Series Approximation of a Square Wave, Connexions Web site. http://cnx.org/content/m0041/2.15/, Jul 15, 2007.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Fourier Series Approximation of a Square Wave [Connexions Web site]. July 15, 2007. Available at: http://cnx.org/content/m0041/2.15/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2007, July 15). Fourier Series Approximation of a Square Wave. Retrieved from the Connexions Web site: http://cnx.org/content/m0041/2.15/

Chicago Manual of Style (Bibliography):

Johnson, Don. "Fourier Series Approximation of a Square Wave." Connexions. July 15, 2007. http://cnx.org/content/m0041/2.15/.

Chicago Manual of Style (Note):

Don Johnson, "Fourier Series Approximation of a Square Wave," Connexions, July 15, 2007, http://cnx.org/content/m0041/2.15/.

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

Johnson, D. 2007. Fourier Series Approximation of a Square Wave. Connexions, July 15, 2007. http://cnx.org/content/m0041/2.15/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Fourier Series Approximation of a Square Wave. Connexions. 15 July 2007 <http://cnx.org/content/m0041/2.15/>.