OpenStax CNX

You are here: Home » Content » Properties of the CTFT

About: Properties of the CTFT

Module by: Melissa Selik, Richard Baraniuk. E-mail the authors

View the content: Properties of the CTFT


Name: Properties of the CTFT
ID: m10100
Language: English (en)
Summary: Describes in detail some properties of the Continuous Time Fourier Transform.
Subject: Science and Technology
Keywords: continuous time, convolution, fourier transform, linearity, modulation, symmetry, time differentiation, time scaling, time shifting
License: Creative Commons Attribution License CC-BY 3.0

Authors: Melissa Selik (, Richard Baraniuk (
Copyright Holders: Melissa Selik (, Richard Baraniuk (
Maintainers: Melissa Selik (, Richard Baraniuk (, Ricardo Radaelli-Sanchez (, Justin Romberg (, Michael Haag (, Mariyah Poonawala (, Prashant Singh (, Matthew Moravec (

Latest version: 2.16 (history)
First publication date: Jun 14, 2001 12:00 am +0000
Last revision to module: Dec 19, 2013 11:09 am +0000


PDF: m10100_2.16.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10100_2.16.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: 2.16 Dec 19, 2013 11:09 am +0000 by Collins Williamson
added moravec as maintainer

Version: 2.15 Jul 22, 2010 3:37 pm +0000 by Collins Williamson
2010 update

Version: 2.14 Oct 1, 2009 2:44 pm +0000 by Richard Baraniuk
added google analytics tracking code

Version: 2.13 Dec 8, 2004 12:21 pm +0000 by Charlet Reedstrom
updated module to cnxml-0.5, removed makefile, fixed typos and a math error (as requested by author)

Version: 2.12 Aug 3, 2004 11:05 am +0000 by Elizabeth Gregory
 Correct a cnxn to LTI systems module in the last paragraph; just needed the m before the module number.

Version: 2.11 Jul 9, 2003 2:05 pm +0000 by Charlet Reedstrom

Version: 2.10 Jun 17, 2002 12:00 am +0000 by (Unknown)
Added links and corrected text.

Version: 2.9 May 30, 2002 12:00 am +0000 by (Unknown)
Audited:  Added a lot more content and explanation to the properties.  Made corrections and verified printing.

Version: 2.8 Nov 26, 2001 12:00 am +0000 by (Unknown)
converted module to cnxml 0.3.5 and converted table tags.

Version: 2.7 Nov 20, 2001 12:00 am +0000 by Brent Hendricks
Reverted to CNXML0.3 until tables are converted :(

Version: 2.6 Nov 20, 2001 12:00 am +0000 by Brent Hendricks
Updated to CNXML 0.3.5

Version: 2.5 Jul 20, 2001 12:00 am +0000 by (Unknown)
Added jrom as maintainer in database

Version: 2.4 Jun 22, 2001 12:00 am +0000 by (Unknown)
Changed erroneous minuses back to divides.

Version: 2.3 Jun 20, 2001 12:00 am +0000 by (Unknown)
Fixed the link to Laplace Transforms.  Added the abstract to the database.

Version: 2.2 Jun 19, 2001 12:00 am +0000 by (Unknown)
Uploaded image.

Version: 2.1 Jun 14, 2001 12:00 am +0000 by (Unknown)
Initial conversion from 0.1

Version: 2.0 Jun 14, 2001 12:00 am +0000 by (Unknown)
Added initial template for new module m10100

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 3.0), you must include

  • the authors' names: Melissa Selik, Richard Baraniuk
  • the title of the work: Properties of the CTFT
  • the OpenStax-CNX URL where the work can be found:

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 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Selik, M.; Baraniuk, R. Properties of the CTFT, OpenStax-CNX Web site., Dec 19, 2013.

American Medical Assocation (AMA) Manual of Style:

Selik M, Baraniuk R. Properties of the CTFT [OpenStax-CNX Web site]. December 19, 2013. Available at:

American Psychological Assocation (APA) Publication Manual:

Selik, M., & Baraniuk, R. (2013, December 19). Properties of the CTFT. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Selik, Melissa, and Richard Baraniuk. "Properties of the CTFT." OpenStax-CNX. December 19, 2013.

Chicago Manual of Style (Note):

Melissa Selik and Richard Baraniuk, "Properties of the CTFT," OpenStax-CNX, December 19, 2013,

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

Selik, M., & Baraniuk, R. 2013. Properties of the CTFT. OpenStax-CNX, December 19, 2013.

Modern Languages Association (MLA) Style Manual:

Selik, Melissa, and Richard Baraniuk. Properties of the CTFT. OpenStax-CNX. 19 Dec. 2013 <>.