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About: Fourier Series: Eigenfunction Approach

Module by: Justin Romberg. E-mail the author

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Name: Fourier Series: Eigenfunction Approach
ID: m10496
Language: English (en)
Summary: This module will introduce the Fourier Series and its Fourier coefficients using the concepts of eigenfunctions and basis. We will show several examples of how to decompose a signal and find the Fourier coefficients.
Subject: Mathematics and Statistics
Keywords: coefficient, eigenfunctions, fourier, fourier coefficients, fourier series, inverse transform, LTI, LTI system, signals, transform
License: Creative Commons Attribution License CC-BY 1.0

Authors: Justin Romberg (jrom@ece.gatech.edu)
Copyright Holders: Justin Romberg (jrom@ece.gatech.edu)
Maintainers: Justin Romberg (jrom@ece.gatech.edu), Richard Baraniuk (richb@rice.edu), Michael Haag (mjhaag@gmail.com), Mariyah Poonawala (mariyah@rice.edu), Prashant Singh (prash@ece.rice.edu), Matthew Hutchinson (mhutch85@gmail.com)

Latest version: 2.23 (history)
First publication date: Feb 7, 2002 12:00 am -0600
Last revision to module: Jul 29, 2010 2:32 pm -0500

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Version History

Version: 2.23 Jul 29, 2010 2:32 pm -0500 by Collins Williamson
Changes:
2010 update

Version: 2.22 Sep 30, 2009 3:59 pm -0500 by Richard Baraniuk
Changes:
added google analytics tracking code

Version: 2.21 Jul 19, 2006 4:37 pm -0500 by Prashant Singh
Changes:
Added Matthew Hutchinson as a Maintainer

Version: 2.20 Aug 15, 2003 1:35 pm -0500 by Prashant Singh
Changes:
Added files for LabVIEW demo and modified the text for the example.

Version: 2.19 Aug 12, 2003 12:03 pm -0500 by Prashant Singh
Changes:
Added Fourier synthesis VI demo.

Version: 2.18 Jul 9, 2003 2:05 pm -0500 by Charlet Reedstrom
Changes:
addmaintainers

Version: 2.17 Sep 5, 2002 12:00 am -0500 by (Unknown)
Changes:
fixed typo in prob4

Version: 2.16 Jul 18, 2002 12:00 am -0500 by (Unknown)
Changes:
Added link to t-periodic module.

Version: 2.15 Jul 11, 2002 12:00 am -0500 by (Unknown)
Changes:
Added script Hs to describe LTI system.  Added new figure.

Version: 2.14 Jul 11, 2002 12:00 am -0500 by (Unknown)
Changes:
Corrected answer to last problem.

Version: 2.13 Jul 11, 2002 12:00 am -0500 by (Unknown)
Changes:
Added note to summary section.

Version: 2.12 Jul 11, 2002 12:00 am -0500 by (Unknown)
Changes:
Created new module.  Verified printing.

Version: 2.11 Apr 29, 2002 12:00 am -0500 by (Unknown)
Changes:
checking in incomplete module

Version: 2.10 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
Sample text

Version: 2.9 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
more text

Version: 2.8 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
added intro

Version: 2.7 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
test2

Version: 2.6 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
Sample text

Version: 2.5 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
Sample text

Version: 2.4 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
testing

Version: 2.3 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
added intro

Version: 2.2 Feb 22, 2002 12:00 am -0600 by (Unknown)
Changes:
Added author and maintainer list.

Version: 2.1 Feb 7, 2002 12:00 am -0600 by (Unknown)
Changes:
Uploaded PS file.  Links are underlined and
footnoted.

Version: 2.0 Feb 7, 2002 12:00 am -0600 by (Unknown)
Changes:
Added initial template for new module m10496

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American Chemical Society (ACS) Style Guide:

Romberg, J. Fourier Series: Eigenfunction Approach, OpenStax_CNX Web site. http://cnx.org/content/m10496/2.23/, Jul 29, 2010.

American Medical Assocation (AMA) Manual of Style:

Romberg J. Fourier Series: Eigenfunction Approach [OpenStax_CNX Web site]. July 29, 2010. Available at: http://cnx.org/content/m10496/2.23/.

American Psychological Assocation (APA) Publication Manual:

Romberg, J. (2010, July 29). Fourier Series: Eigenfunction Approach. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m10496/2.23/

Chicago Manual of Style (Bibliography):

Romberg, Justin. "Fourier Series: Eigenfunction Approach." OpenStax_CNX. July 29, 2010. http://cnx.org/content/m10496/2.23/.

Chicago Manual of Style (Note):

Justin Romberg, "Fourier Series: Eigenfunction Approach," OpenStax_CNX, July 29, 2010, http://cnx.org/content/m10496/2.23/.

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

Romberg, J. 2010. Fourier Series: Eigenfunction Approach. OpenStax_CNX, July 29, 2010. http://cnx.org/content/m10496/2.23/.

Modern Languages Association (MLA) Style Manual:

Romberg, Justin. Fourier Series: Eigenfunction Approach. OpenStax_CNX. 29 July 2010 <http://cnx.org/content/m10496/2.23/>.