| 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, Science and Technology |
| Keywords: | coefficient, eigenfunctions, fourier, fourier coefficients, fourier series, inverse transform, LTI, LTI system, signals, transform |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| 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 (mhutch@rice.edu) |
|
|
|
| Version: | 2.21 (history) |
| Created: | Feb 7, 2002 12:00 am US/Central |
| Revised: | Jul 19, 2006 4:37 pm GMT-5 |
| Version: | 2.21 Jul 19, 2006 4:37 pm GMT-5 by Prashant Singh |
| Changes: | Added Matthew Hutchinson as a Maintainer |
|
|
|
| Version: | 2.20 Aug 15, 2003 1:35 pm GMT-5 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 GMT-5 by Prashant Singh |
| Changes: | Added Fourier synthesis VI demo. |
|
|
|
| Version: | 2.18 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom |
| Changes: | addmaintainers |
|
|
|
| Version: | 2.17 Sep 5, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed typo in prob4 |
|
|
|
| Version: | 2.16 Jul 18, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Added link to t-periodic module. |
|
|
|
| Version: | 2.15 Jul 11, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Added script Hs to describe LTI system. Added new figure. |
|
|
|
| Version: | 2.14 Jul 11, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Corrected answer to last problem. |
|
|
|
| Version: | 2.13 Jul 11, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Added note to summary section. |
|
|
|
| Version: | 2.12 Jul 11, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Created new module. Verified printing. |
|
|
|
| Version: | 2.11 Apr 29, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | checking in incomplete module |
|
|
|
| Version: | 2.10 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Sample text |
|
|
|
| Version: | 2.9 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | more text |
|
|
|
| Version: | 2.8 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | added intro |
|
|
|
| Version: | 2.7 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | test2 |
|
|
|
| Version: | 2.6 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Sample text |
|
|
|
| Version: | 2.5 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Sample text |
|
|
|
| Version: | 2.4 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | testing |
|
|
|
| Version: | 2.3 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | added intro |
|
|
|
| Version: | 2.2 Feb 22, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Added author and maintainer list. |
|
|
|
| Version: | 2.1 Feb 7, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Uploaded PS file. Links are underlined and footnoted. |
|
|
|
| Version: | 2.0 Feb 7, 2002 12:00 am US/Central by (Unknown) |
| Changes: | Added initial template for new module m10496 |
If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.
If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include
See the citation section below for examples you can copy.
The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
Romberg, J. Fourier Series: Eigenfunction Approach, Connexions Web site. http://cnx.org/content/m10496/2.21/, Jul 19, 2006.
Romberg J. Fourier Series: Eigenfunction Approach [Connexions Web site]. July 19, 2006. Available at: http://cnx.org/content/m10496/2.21/.
Romberg, J. (2006, July 19). Fourier Series: Eigenfunction Approach. Retrieved from the Connexions Web site: http://cnx.org/content/m10496/2.21/
Romberg, Justin. "Fourier Series: Eigenfunction Approach." Connexions. July 19, 2006. http://cnx.org/content/m10496/2.21/.
Justin Romberg, "Fourier Series: Eigenfunction Approach," Connexions, July 19, 2006, http://cnx.org/content/m10496/2.21/.
Romberg, J. 2006. Fourier Series: Eigenfunction Approach. Connexions, July 19, 2006. http://cnx.org/content/m10496/2.21/.
Romberg, Justin. Fourier Series: Eigenfunction Approach. Connexions. 19 July 2006 <http://cnx.org/content/m10496/2.21/>.