| Name: | Discrete-Time Convolution |
| ID: | m10087 |
| Language: | English (en) |
| Summary: | Convolution is a concept that extends to all systems that are both linear and time-invariant (LTI). It will become apparent in this discussion that this condition is necessary by demonstrating how linearity and time-invariance give rise to convolution. |
| Subject: | Mathematics and Statistics, Science and Technology |
| Keywords: | convolution, discrete time, DT, impulse response, signals, signals and systems |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Ricardo Radaelli-Sanchez (ricky@alumni.rice.edu), Richard Baraniuk (richb@rice.edu) |
| Copyright Holders: | Ricardo Radaelli-Sanchez (ricky@alumni.rice.edu), Richard Baraniuk (richb@rice.edu) |
| Maintainers: | Michael Haag (mjhaag@gmail.com), Mariyah Poonawala (mariyah@rice.edu), Richard Baraniuk (richb@rice.edu) |
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| Version: | 2.18 (history) |
| Created: | Jun 13, 2001 12:00 am GMT-5 |
| Revised: | Jun 14, 2005 3:40 pm GMT-5 |
| Version: | 2.18 Jun 14, 2005 3:40 pm GMT-5 by Charlet Reedstrom |
| Changes: | update to cnxml-0.5, fix typos |
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| Version: | 2.17 Mar 23, 2005 1:08 pm US/Central by Charlet Reedstrom |
| Changes: | fixed typos, put some in-line variables in math tags |
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| Version: | 2.16 Jan 12, 2004 1:45 pm US/Central by Charlet Reedstrom |
| Changes: | fixed equation error |
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| Version: | 2.15 Aug 19, 2003 9:49 am GMT-5 by Mariyah Poonawala |
| Changes: | Corrected typos and inserted new images |
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| Version: | 2.14 Aug 15, 2003 10:03 am GMT-5 by Charlet Reedstrom |
| Changes: | added maintainer |
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| Version: | 2.13 Oct 18, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Correct errors and redid derivation part. |
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| Version: | 2.12 Jun 13, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Converted to v.4 and made sure csymbols still work. |
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| Version: | 2.11 Jun 4, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Audited - Edited current content and added more information and equations. Verified printing. |
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| Version: | 2.10 Jul 20, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added jrom and mselik as maintainers in database. |
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| Version: | 2.9 Jun 28, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | testing |
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| Version: | 2.8 Jun 28, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | hopefully added punitas images |
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| Version: | 2.7 Jun 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added link to johns hopkins applets |
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| Version: | 2.6 Jun 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed a broken link |
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| Version: | 2.5 Jun 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added a connexion to the properties of convolution module |
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| Version: | 2.4 Jun 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | 0.3.5-ified the module, added an applet and a cnxn |
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| Version: | 2.3 Jun 20, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added rich as author |
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| Version: | 2.2 Jun 13, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Fixed the bad cnxn |
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| Version: | 2.1 Jun 13, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | added new module, needs to have a cnxn fixed |
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| Version: | 2.0 Jun 13, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10087 |
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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.
The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
Radaelli-Sanchez, R.; Baraniuk, R. Discrete-Time Convolution, Connexions Web site. http://cnx.org/content/m10087/2.18/, Jun 14, 2005.
Radaelli-Sanchez R, Baraniuk R. Discrete-Time Convolution [Connexions Web site]. June 14, 2005. Available at: http://cnx.org/content/m10087/2.18/.
Radaelli-Sanchez, R., & Baraniuk, R. (2005, June 14). Discrete-Time Convolution. Retrieved from the Connexions Web site: http://cnx.org/content/m10087/2.18/
Radaelli-Sanchez, Ricardo, and Richard Baraniuk. "Discrete-Time Convolution." Connexions. June 14, 2005. http://cnx.org/content/m10087/2.18/.
Ricardo Radaelli-Sanchez and Richard Baraniuk, "Discrete-Time Convolution," Connexions, June 14, 2005, http://cnx.org/content/m10087/2.18/.
Radaelli-Sanchez, R., & Baraniuk, R. 2005. Discrete-Time Convolution. Connexions, June 14, 2005. http://cnx.org/content/m10087/2.18/.
Radaelli-Sanchez, Ricardo, and Richard Baraniuk. Discrete-Time Convolution. Connexions. 14 June 2005 <http://cnx.org/content/m10087/2.18/>.