| 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) |
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| 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) |
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| Version: | 2.15 (history) |
| Created: | Jul 24, 2000 12:00 am GMT-5 |
| Revised: | Jul 15, 2007 4:48 pm GMT-5 |
| Version: | 2.15 Jul 15, 2007 4:48 pm GMT-5 by Don Johnson |
| Changes: | Corrected errors in equation (2). |
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| 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 |
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| Version: | 2.13 Jun 27, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | updated module - still problems in print style sheet though |
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| Version: | 2.12 May 29, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Made few corrections in text. |
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| Version: | 2.11 Mar 25, 2002 12:00 am US/Central by (Unknown) |
| Changes: | edited mathml and fixed cnxns |
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| Version: | 2.10 Oct 2, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Corrected cos and sin error. |
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| Version: | 2.9 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks |
| Changes: | Converted to CNXML 0.3.5 |
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| Version: | 2.8 Aug 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed keywords. |
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| Version: | 2.7 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed whitespace punctuation errors |
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| Version: | 2.6 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Fixed </m:math> , (Jenn) |
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| Version: | 2.5 Aug 20, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | I re-uploaded the images and their corresponding EPS files. |
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| Version: | 2.4 Jul 17, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Remodularized, some minor fixes. |
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| Version: | 2.3 May 30, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed version number |
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| Version: | 2.2 May 29, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | No changes. |
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| 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. |
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| Version: | 2.0 Aug 17, 2000 12:00 am GMT-5 by Brent Hendricks |
| Changes: | Bumped version to 2.0 |
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The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
Johnson, D. Fourier Series Approximation of a Square Wave, Connexions Web site. http://cnx.org/content/m0041/2.15/, Jul 15, 2007.
Johnson D. Fourier Series Approximation of a Square Wave [Connexions Web site]. July 15, 2007. Available at: http://cnx.org/content/m0041/2.15/.
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/
Johnson, Don. "Fourier Series Approximation of a Square Wave." Connexions. July 15, 2007. http://cnx.org/content/m0041/2.15/.
Don Johnson, "Fourier Series Approximation of a Square Wave," Connexions, July 15, 2007, http://cnx.org/content/m0041/2.15/.
Johnson, D. 2007. Fourier Series Approximation of a Square Wave. Connexions, July 15, 2007. http://cnx.org/content/m0041/2.15/.
Johnson, Don. Fourier Series Approximation of a Square Wave. Connexions. 15 July 2007 <http://cnx.org/content/m0041/2.15/>.