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About: Orthonormal Basis Expansions

Module by: Michael Haag, Justin Romberg

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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, Science and Technology
Keywords: basis, basis matrix, coefficient vector, decompose, hilbert, hilbert spaces, orthonormal, orthonormal basis, standard basis
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
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: 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)
Version: 2.4 (history)
Created: Jul 29, 2002 12:00 am GMT-5
Revised: Jun 24, 2005 10:00 am GMT-5

Version History

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/m10760/2.4/, Jun 24, 2005.

American Medical Assocation (AMA) Manual of Style:

Haag M, Romberg J. Orthonormal Basis Expansions [Connexions Web site]. June 24, 2005. Available at: http://cnx.org/content/m10760/2.4/.

American Psychological Assocation (APA) Publication Manual:

Haag, M., & Romberg, J. (2005, June 24). Orthonormal Basis Expansions. Retrieved from the Connexions Web site: http://cnx.org/content/m10760/2.4/

Chicago Manual of Style (Bibliography):

Haag, Michael, and Justin Romberg. "Orthonormal Basis Expansions." Connexions. June 24, 2005. http://cnx.org/content/m10760/2.4/.

Chicago Manual of Style (Note):

Michael Haag and Justin Romberg, "Orthonormal Basis Expansions," Connexions, June 24, 2005, http://cnx.org/content/m10760/2.4/.

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

Haag, M., & Romberg, J. 2005. Orthonormal Basis Expansions. Connexions, June 24, 2005. http://cnx.org/content/m10760/2.4/.

Modern Languages Association (MLA) Style Manual:

Haag, Michael, and Justin Romberg. Orthonormal Basis Expansions. Connexions. 24 June 2005 <http://cnx.org/content/m10760/2.4/>.