OpenStax CNX

Sections
You are here: Home » Content » Sampling Theorem

About: Sampling Theorem

Module by: Justin Romberg, Stephen Kruzick. E-mail the authors

View the content: Sampling Theorem

Metadata

Name: Sampling Theorem
ID: m10791
Language: English (en)
Summary: This module builds on the intuition developed in the sampling module to discuss the Nyquist-Shannon sampling theorem, including a full statement and a proof.
Subject: Science and Technology
Keywords: dsp, Nyquist, Nyquist frequency, Nyquist theorem, reconstruction, sample, sampling, Shannon, theorem
License: Creative Commons Attribution License CC-BY 1.0

Authors: Justin Romberg (jrom@ece.gatech.edu), Stephen Kruzick (skruzick@andrew.cmu.edu)
Copyright Holders: Justin Romberg (jrom@ece.gatech.edu), Stephen Kruzick (skruzick@andrew.cmu.edu)
Maintainers: Stephen Kruzick (skruzick@andrew.cmu.edu), Prashant Singh (prash@ece.rice.edu), Richard Baraniuk (richb@rice.edu), Mariyah Poonawala (mariyah@rice.edu), Matthew Hutchinson (mhutch85@gmail.com), Daniel Williamson (dcwill@cnx.org)

Latest version: 2.7 (history)
First publication date: Aug 6, 2002 12:00 am +0000
Last revision to module: Jul 28, 2010 3:42 pm +0000

Downloads

PDF: m10791_2.7.pdf PDF file, for viewing content offline and printing. Learn more.
EPUB: m10791_2.7.epub Electronic publication file, for viewing in handheld devices. Learn more.
XML: m10791_2.7.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.
Source Export ZIP: m10791_2.7.zip ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more.
Offline ZIP: m10791_2.7_offline.zip An offline HTML copy of the content. Also includes XML, included media files, and other support files. Learn more.

Version History

Version: 2.8 Dec 19, 2013 2:26 pm +0000 by Collins Williamson
Changes:
added moravec as maintainer

Version: 2.7 Jul 28, 2010 3:42 pm +0000 by Collins Williamson Currently viewing this version.
Changes:
2010 update

Version: 2.6 Oct 1, 2009 3:10 pm +0000 by Richard Baraniuk
Changes:
added google analytics tracking code

Version: 2.5 Aug 2, 2006 2:27 pm +0000 by Chuck Bearden
Changes:
Added LabVIEW content.  Added mhutch as a maintainer.

Version: 2.4 Feb 6, 2004 1:47 pm +0000 by Charlet Reedstrom
Changes:
update module to cnxml-0.5, fixed typo, marked up inline math as math including adding implies operator

Version: 2.3 Jul 9, 2003 2:05 pm +0000 by Charlet Reedstrom
Changes:
addmaintainers

Version: 2.2 Aug 23, 2002 12:00 am +0000 by (Unknown)
Changes:
Added figures, introduction section and paragrpah, and divided into other sections.  verified printing.

Version: 2.1 Aug 7, 2002 12:00 am +0000 by (Unknown)
Changes:
The first version of this module. Still has no figures. I just make comments on cnxml file.
Liqun

Version: 2.0 Aug 6, 2002 12:00 am +0000 by (Unknown)
Changes:
Added initial template for new module m10791

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.

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

  • the authors' names: Justin Romberg, Stephen Kruzick
  • the title of the work: Sampling Theorem
  • the OpenStax_CNX URL where the work can be found: http://cnx.org/content/m10791/2.7/

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:

Romberg, J.; Kruzick, S. Sampling Theorem, OpenStax_CNX Web site. http://cnx.org/content/m10791/2.7/, Jul 28, 2010.

American Medical Assocation (AMA) Manual of Style:

Romberg J, Kruzick S. Sampling Theorem [OpenStax_CNX Web site]. July 28, 2010. Available at: http://cnx.org/content/m10791/2.7/.

American Psychological Assocation (APA) Publication Manual:

Romberg, J., & Kruzick, S. (2010, July 28). Sampling Theorem. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m10791/2.7/

Chicago Manual of Style (Bibliography):

Romberg, Justin, and Stephen Kruzick. "Sampling Theorem." OpenStax_CNX. July 28, 2010. http://cnx.org/content/m10791/2.7/.

Chicago Manual of Style (Note):

Justin Romberg and Stephen Kruzick, "Sampling Theorem," OpenStax_CNX, July 28, 2010, http://cnx.org/content/m10791/2.7/.

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

Romberg, J., & Kruzick, S. 2010. Sampling Theorem. OpenStax_CNX, July 28, 2010. http://cnx.org/content/m10791/2.7/.

Modern Languages Association (MLA) Style Manual:

Romberg, Justin, and Stephen Kruzick. Sampling Theorem. OpenStax_CNX. 28 July 2010 <http://cnx.org/content/m10791/2.7/>.