| Name: | Cauchy-Schwarz Inequality |
| ID: | m10757 |
| Language: | English (en) |
| Summary: | This module defines the Cauchy-Schwarz Inequality and discusses some of its practical usefulness, especially in the Matched filter detector. Also, we will prove the CSI for real vector spaces. |
| Subject: | Mathematics and Statistics, Science and Technology |
| Keywords: | cauch-schwarz, cauchy, cauchy-schwarz inequality, csi, cuachy, frequency shift keying, fsk, hilbert, inner product, inner products, matched filter, matched filter detector, matched filters, schwarz |
| 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: | 2.5 (history) |
| Created: | Jul 25, 2002 12:00 am GMT-5 |
| Revised: | Jun 23, 2005 9:33 pm GMT-5 |
| Version: | 2.5 Jun 23, 2005 9:33 pm GMT-5 by Charlet Reedstrom |
| Changes: | update to cnxml-0.5, wrap msub in ci, add cnxns to figs, fix typo |
|
|
|
| Version: | 2.4 Feb 7, 2004 11:22 pm US/Central by Richard Baraniuk |
| Changes: | fixed linear INdependent to linearly dependent around CSI. thanks to Kimon Ioannides <krsgpsdf@klhi.net> |
|
|
|
| Version: | 2.3 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom |
| Changes: | addmaintainers |
|
|
|
| Version: | 2.2 Sep 6, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Fixed proof in last section. |
|
|
|
| Version: | 2.1 Jul 29, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | New module created. Verified printing. |
|
|
|
| Version: | 2.0 Jul 25, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10757 |
If you reuse this work, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include the
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:
Haag, M.; Romberg, J. Cauchy-Schwarz Inequality, Connexions Web site. http://cnx.org/content/m10757/2.5/, Jun 23, 2005.
Haag M, Romberg J. Cauchy-Schwarz Inequality [Connexions Web site]. June 23, 2005. Available at: http://cnx.org/content/m10757/2.5/.
Haag, M., & Romberg, J. (2005, June 23). Cauchy-Schwarz Inequality. Retrieved from the Connexions Web site: http://cnx.org/content/m10757/2.5/
Haag, Michael, and Justin Romberg. "Cauchy-Schwarz Inequality." Connexions. June 23, 2005. http://cnx.org/content/m10757/2.5/.
Michael Haag and Justin Romberg, "Cauchy-Schwarz Inequality," Connexions, June 23, 2005, http://cnx.org/content/m10757/2.5/.
Haag, M., & Romberg, J. 2005. Cauchy-Schwarz Inequality. Connexions, June 23, 2005. http://cnx.org/content/m10757/2.5/.
Haag, Michael, and Justin Romberg. Cauchy-Schwarz Inequality. Connexions. 23 June 2005 <http://cnx.org/content/m10757/2.5/>.