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About: Orthonormal Basis Expansions

Module by: Michael Haag, Justin Romberg. E-mail the authors

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Name: Orthonormal Basis Expansions
ID: m10760
Language: English (en)
Summary: The module looks at decomposing signals through orthonormal basis expansion to provide an alternative representation. The module presents many examples of solving these problems and looks at them in several spaces and dimensions.
Subject: Mathematics and Statistics
Keywords: basis, basis matrix, coefficient vector, decompose, hilbert, hilbert spaces, orthonormal, orthonormal basis, standard basis
License: Creative Commons Attribution License CC-BY 1.0
Authors: Michael Haag (mjhaag@gmail.com), Justin Romberg (jrom@ece.gatech.edu)
Copyright Holders: Michael Haag (mjhaag@gmail.com), Justin Romberg (jrom@ece.gatech.edu)
Maintainers: Michael Haag (mjhaag@gmail.com), Justin Romberg (jrom@ece.gatech.edu), Richard Baraniuk (richb@rice.edu), Mariyah Poonawala (mariyah@rice.edu), Prashant Singh (prash@ece.rice.edu)
Latest version: 2.5 (history)
First publication date: Jul 29, 2002 12:00 am GMT-5
Last revision to module: Oct 1, 2009 10:12 pm GMT-5
Module XML: m10760_2.5.cnxml

Version History

Version: 2.5 Oct 1, 2009 10:12 pm GMT-5 by Richard Baraniuk
Changes: 
added google analytics tracking code
Version: 2.4 Jun 24, 2005 10:00 am GMT-5 by Charlet Reedstrom
Changes: 
update to cnxml-0.5, fix typo, wrap msub in ci
Version: 2.3 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom
Changes: 
addmaintainers
Version: 2.2 Jul 31, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Added vertical ellipses to matrices of vectors to show it is not just a row matrix.
Version: 2.1 Jul 30, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
New module created.  Verified printing.
Version: 2.0 Jul 29, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Added initial template for new module m10760

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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:

Haag, M.; Romberg, J. Orthonormal Basis Expansions, Connexions Web site. http://cnx.org/content/m10760/2.5/, Oct 1, 2009.

American Medical Assocation (AMA) Manual of Style:

Haag M, Romberg J. Orthonormal Basis Expansions [Connexions Web site]. October 1, 2009. Available at: http://cnx.org/content/m10760/2.5/.

American Psychological Assocation (APA) Publication Manual:

Haag, M., & Romberg, J. (2009, October 1). Orthonormal Basis Expansions. Retrieved from the Connexions Web site: http://cnx.org/content/m10760/2.5/

Chicago Manual of Style (Bibliography):

Haag, Michael, and Justin Romberg. "Orthonormal Basis Expansions." Connexions. October 1, 2009. http://cnx.org/content/m10760/2.5/.

Chicago Manual of Style (Note):

Michael Haag and Justin Romberg, "Orthonormal Basis Expansions," Connexions, October 1, 2009, http://cnx.org/content/m10760/2.5/.

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

Haag, M., & Romberg, J. 2009. Orthonormal Basis Expansions. Connexions, October 1, 2009. http://cnx.org/content/m10760/2.5/.

Modern Languages Association (MLA) Style Manual:

Haag, Michael, and Justin Romberg. Orthonormal Basis Expansions. Connexions. 1 Oct. 2009 <http://cnx.org/content/m10760/2.5/>.