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About: Discrete Time Complex Exponential

Module by: Dan Calderon, Richard Baraniuk, Stephen Kruzick. E-mail the authors

Based on: The Complex Exponential by Richard Baraniuk

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Name: Discrete Time Complex Exponential
ID: m34573
Language: English (en)
Summary: Describes the complex exponential function for discrete time.
Subject: Science and Technology
Keywords: complex exponential, complex plane, signals
License: Creative Commons Attribution License CC-BY 3.0

Authors: Dan Calderon (, Richard Baraniuk (, Stephen Kruzick (
Copyright Holders: Dan Calderon (, Stephen Kruzick (
Maintainers: Dan Calderon (, Richard Baraniuk (, Stephen Kruzick (, Daniel Williamson (

Latest version: 1.3 (history)
First publication date: Jun 2, 2010 3:23 pm -0500
Last revision to module: Sep 29, 2011 5:02 pm -0500

Based On: The Complex Exponential
Originally By: Richard Baraniuk (


PDF: m34573_1.3.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m34573_1.3.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.

Version History

Version: 1.6 Feb 7, 2014 11:16 am -0600 by Matthew Moravec
corrected mistakes, added dt plots in place of ct

Version: 1.5 Feb 3, 2014 2:58 pm -0600 by Collins Williamson
added moravec as maintainer

Version: 1.4 Jan 9, 2013 9:55 am -0600 by Collins Williamson
fixed typo

Version: 1.3 Sep 29, 2011 5:02 pm -0500 by Dan Calderon Currently viewing this version.
Fixed CNX1.0 download of links.

Version: 1.2 Sep 2, 2011 11:05 am -0500 by Dan Calderon

Version: 1.1 Jun 10, 2010 4:13 pm -0500 by Richard Baraniuk
2010 update

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American Chemical Society (ACS) Style Guide:

Calderon, D.; Baraniuk, R.; Kruzick, S. Discrete Time Complex Exponential, OpenStax-CNX Web site., Sep 29, 2011.

American Medical Assocation (AMA) Manual of Style:

Calderon D, Baraniuk R, Kruzick S. Discrete Time Complex Exponential [OpenStax-CNX Web site]. September 29, 2011. Available at:

American Psychological Assocation (APA) Publication Manual:

Calderon, D., Baraniuk, R., & Kruzick, S. (2011, September 29). Discrete Time Complex Exponential. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Calderon, Dan, Richard Baraniuk, and Stephen Kruzick. "Discrete Time Complex Exponential." OpenStax-CNX. September 29, 2011.

Chicago Manual of Style (Note):

Dan Calderon, Richard Baraniuk, and Stephen Kruzick, "Discrete Time Complex Exponential," OpenStax-CNX, September 29, 2011,

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

Calderon, D., Baraniuk, R., & Kruzick, S. 2011. Discrete Time Complex Exponential. OpenStax-CNX, September 29, 2011.

Modern Languages Association (MLA) Style Manual:

Calderon, Dan, Richard Baraniuk, and Stephen Kruzick. Discrete Time Complex Exponential. OpenStax-CNX. 29 Sep. 2011 <>.