Connexions

Sections
You are here: Home » Content » Discrete-Time Convolution

About: Discrete-Time Convolution

Module by: Ricardo Radaelli-Sanchez, Richard Baraniuk

View content

Metadata

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)

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)

Version: 2.18 (history)
Created: Jun 13, 2001 12:00 am GMT-5
Revised: Jun 14, 2005 3:40 pm GMT-5

Version History

Version: 2.18 Jun 14, 2005 3:40 pm GMT-5 by Charlet Reedstrom
Changes:
update to cnxml-0.5, fix typos

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

Version: 2.16 Jan 12, 2004 1:45 pm US/Central by Charlet Reedstrom
Changes:
 fixed equation error

Version: 2.15 Aug 19, 2003 9:49 am GMT-5 by Mariyah Poonawala
Changes:
Corrected typos and inserted new images

Version: 2.14 Aug 15, 2003 10:03 am GMT-5 by Charlet Reedstrom
Changes:
added maintainer

Version: 2.13 Oct 18, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Correct errors and redid derivation part.

Version: 2.12 Jun 13, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Converted to v.4 and made sure csymbols still work.

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.

Version: 2.10 Jul 20, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Added jrom and mselik as maintainers in database.

Version: 2.9 Jun 28, 2001 12:00 am GMT-5 by (Unknown)
Changes:
testing

Version: 2.8 Jun 28, 2001 12:00 am GMT-5 by (Unknown)
Changes:
hopefully added punitas images

Version: 2.7 Jun 22, 2001 12:00 am GMT-5 by (Unknown)
Changes:
added link to johns hopkins applets

Version: 2.6 Jun 22, 2001 12:00 am GMT-5 by (Unknown)
Changes:
fixed a broken link

Version: 2.5 Jun 22, 2001 12:00 am GMT-5 by (Unknown)
Changes:
added a connexion to the properties of convolution module

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

Version: 2.3 Jun 20, 2001 12:00 am GMT-5 by (Unknown)
Changes:
added rich as author

Version: 2.2 Jun 13, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Fixed the bad cnxn

Version: 2.1 Jun 13, 2001 12:00 am GMT-5 by (Unknown)
Changes:
added new module, needs to have a cnxn fixed

Version: 2.0 Jun 13, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Added initial template for new module m10087

How to Reuse and Attribute This Content

If you reuse this work, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include the

  • authors' names
  • title of the work
  • and the Connexions URL where the work can be found

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.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Radaelli-Sanchez, R.; Baraniuk, R. Discrete-Time Convolution, Connexions Web site. http://cnx.org/content/m10087/2.18/, Jun 14, 2005.

American Medical Assocation (AMA) Manual of Style:

Radaelli-Sanchez R, Baraniuk R. Discrete-Time Convolution [Connexions Web site]. June 14, 2005. Available at: http://cnx.org/content/m10087/2.18/.

American Psychological Assocation (APA) Publication Manual:

Radaelli-Sanchez, R., & Baraniuk, R. (2005, June 14). Discrete-Time Convolution. Retrieved from the Connexions Web site: http://cnx.org/content/m10087/2.18/

Chicago Manual of Style (Bibliography):

Radaelli-Sanchez, Ricardo, and Richard Baraniuk. "Discrete-Time Convolution." Connexions. June 14, 2005. http://cnx.org/content/m10087/2.18/.

Chicago Manual of Style (Note):

Ricardo Radaelli-Sanchez and Richard Baraniuk, "Discrete-Time Convolution," Connexions, June 14, 2005, http://cnx.org/content/m10087/2.18/.

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

Radaelli-Sanchez, R., & Baraniuk, R. 2005. Discrete-Time Convolution. Connexions, June 14, 2005. http://cnx.org/content/m10087/2.18/.

Modern Languages Association (MLA) Style Manual:

Radaelli-Sanchez, Ricardo, and Richard Baraniuk. Discrete-Time Convolution. Connexions. 14 June 2005 <http://cnx.org/content/m10087/2.18/>.