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Name: Adaptive Filtering: LMS Algorithm
ID: m10481
Language: English (en)
Summary: This module introduces adaptive filters through the example of system identification using the LMS algorithm. The adaptive filter adjusts its coefficients to minimize the mean-square error between its output and that of an unknown system.
Subject: Science and Technology
Keywords: adaptive filtering, DSP, gradient descent, LMS, system identification
License: Creative Commons Attribution License CC-BY 1.0

Authors: Douglas L. Jones (dl-jones@uiuc.edu), Swaroop Appadwedula (appadwed@uiuc.edu), Matthew Berry (mjberry@uiuc.edu), Mark Haun (markhaun@uiuc.edu), Dima Moussa (dmoussa@uiuc.edu), Daniel Sachs (sachs@uiuc.edu)
Copyright Holders: Douglas L. Jones (dl-jones@uiuc.edu), Swaroop Appadwedula (appadwed@uiuc.edu), Matthew Berry (mjberry@uiuc.edu), Mark Haun (markhaun@uiuc.edu), Dima Moussa (dmoussa@uiuc.edu), Daniel Sachs (sachs@uiuc.edu), Jake Janovetz (jake@janovetz.com), Michael Kramer (kramer@ifp.uiuc.edu), Brian Wade (bwade@uiuc.edu)
Maintainers: Douglas L. Jones (dl-jones@uiuc.edu), Swaroop Appadwedula (appadwed@uiuc.edu), Matthew Berry (mjberry@uiuc.edu), Mark Haun (markhaun@uiuc.edu), Daniel Sachs (sachs@uiuc.edu), Mike Russell (merussel@uiuc.edu), Mark Butala (butala@uiuc.edu), Robert Morrison (rlmorris@uiuc.edu)

Latest version: 2.14 (history)
First publication date: Feb 1, 2002 12:00 am -0600
Last revision to module: Jun 1, 2009 9:22 am -0500

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Version History

Version: 2.14 Jun 1, 2009 9:22 am -0500 by Connexions
Changes:
Modified markup for explicit .eps image reference

Version: 2.13 Oct 11, 2004 7:53 am -0500 by Charlet Reedstrom
Changes:
fixed math markup error 

Version: 2.12 Feb 25, 2004 11:01 am -0600 by Adan Galvan
Changes:
added maintainer

Version: 2.11 Jul 29, 2003 10:21 am -0500 by Elizabeth Gregory
Changes:
Updated to 0.5, cleaned up some math, and added a bibliography.

Version: 2.10 Sep 5, 2002 12:00 am -0500 by (Unknown)
Changes:
added a maintainer

Version: 2.9 Aug 27, 2002 12:00 am -0500 by (Unknown)
Changes:
updated figure

Version: 2.8 Aug 26, 2002 12:00 am -0500 by (Unknown)
Changes:
renamed signals
uploaded new figure

Version: 2.7 Aug 24, 2002 12:00 am -0500 by (Unknown)
Changes:
edited for content and style

Version: 2.6 Aug 20, 2002 12:00 am -0500 by (Unknown)
Changes:
edited for content and style
edited metadata

Version: 2.5 Aug 6, 2002 12:00 am -0500 by (Unknown)
Changes:
Changed figure image as requested (bug report no. 711)

Version: 2.4 Aug 5, 2002 12:00 am -0500 by (Unknown)
Changes:
uploaded new figure

Version: 2.3 Jun 6, 2002 12:00 am -0500 by (Unknown)
Changes:
edited for style

Version: 2.2 May 30, 2002 12:00 am -0500 by (Unknown)
Changes:
added maintainers

Version: 2.1 Feb 8, 2002 12:00 am -0600 by (Unknown)
Changes:
completed the module

Version: 2.0 Feb 1, 2002 12:00 am -0600 by (Unknown)
Changes:
Added initial template for new module m10481

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  • the authors' names: Douglas Jones, Swaroop Appadwedula, Matthew Berry, Mark Haun, Dima Moussa, Daniel Sachs
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See the citation section below for examples you can copy.

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:

Jones, D.; Appadwedula, S.; Berry, M.; Haun, M.; Moussa, D.; Sachs, D. Adaptive Filtering: LMS Algorithm, OpenStax_CNX Web site. http://cnx.org/content/m10481/2.14/, Jun 1, 2009.

American Medical Assocation (AMA) Manual of Style:

Jones D, Appadwedula S, Berry M, Haun M, Moussa D, Sachs D. Adaptive Filtering: LMS Algorithm [OpenStax_CNX Web site]. June 1, 2009. Available at: http://cnx.org/content/m10481/2.14/.

American Psychological Assocation (APA) Publication Manual:

Jones, D., Appadwedula, S., Berry, M., Haun, M., Moussa, D., & Sachs, D. (2009, June 1). Adaptive Filtering: LMS Algorithm. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m10481/2.14/

Chicago Manual of Style (Bibliography):

Jones, Douglas, Swaroop Appadwedula, Matthew Berry, Mark Haun, Dima Moussa, and Daniel Sachs. "Adaptive Filtering: LMS Algorithm." OpenStax_CNX. June 1, 2009. http://cnx.org/content/m10481/2.14/.

Chicago Manual of Style (Note):

Douglas Jones and others, "Adaptive Filtering: LMS Algorithm," OpenStax_CNX, June 1, 2009, http://cnx.org/content/m10481/2.14/.

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

Jones, D., Appadwedula, S., Berry, M., Haun, M., Moussa, D., & Sachs, D. 2009. Adaptive Filtering: LMS Algorithm. OpenStax_CNX, June 1, 2009. http://cnx.org/content/m10481/2.14/.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas, Swaroop Appadwedula, Matthew Berry, Mark Haun, Dima Moussa, and Daniel Sachs. Adaptive Filtering: LMS Algorithm. OpenStax_CNX. 1 June 2009 <http://cnx.org/content/m10481/2.14/>.