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About: Sampling Theorem

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

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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 (, Stephen Kruzick (
Copyright Holders: Justin Romberg (, Stephen Kruzick (
Maintainers: Stephen Kruzick (, Prashant Singh (, Richard Baraniuk (, Mariyah Poonawala (, Matthew Hutchinson (, Daniel Williamson (

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


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: ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more.
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
added moravec as maintainer

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

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

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

Version: 2.4 Feb 6, 2004 1:47 pm +0000 by Charlet Reedstrom
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

Version: 2.2 Aug 23, 2002 12:00 am +0000 by (Unknown)
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)
The first version of this module. Still has no figures. I just make comments on cnxml file.

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

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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:

Romberg, J.; Kruzick, S. Sampling Theorem, OpenStax_CNX Web site., 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:

American Psychological Assocation (APA) Publication Manual:

Romberg, J., & Kruzick, S. (2010, July 28). Sampling Theorem. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Romberg, Justin, and Stephen Kruzick. "Sampling Theorem." OpenStax_CNX. July 28, 2010.

Chicago Manual of Style (Note):

Justin Romberg and Stephen Kruzick, "Sampling Theorem," OpenStax_CNX, July 28, 2010,

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

Romberg, J., & Kruzick, S. 2010. Sampling Theorem. OpenStax_CNX, July 28, 2010.

Modern Languages Association (MLA) Style Manual:

Romberg, Justin, and Stephen Kruzick. Sampling Theorem. OpenStax_CNX. 28 July 2010 <>.