OpenStax CNX

You are here: Home » Content » Introduction to Fourier Analysis

About: Introduction to Fourier Analysis

Module by: Richard Baraniuk. E-mail the author

View the content: Introduction to Fourier Analysis


Name: Introduction to Fourier Analysis
ID: m10096
Language: English (en)
Summary: Lists the four Fourier transforms and when to use them.
Subject: Science and Technology
Keywords: continuous time, discrete time, fourier series, fourier transform, laplace transform, signals, systems, z transform
License: Creative Commons Attribution License CC-BY 3.0

Authors: Richard Baraniuk (
Copyright Holders: Richard Baraniuk (
Maintainers: Richard Baraniuk (, Justin Romberg (, Michael Haag (, Mariyah Poonawala (, Prashant Singh (, Matthew Moravec (

Latest version: 2.13 (history)
First publication date: Jun 13, 2001 12:00 am +0000
Last revision to module: Dec 17, 2013 10:15 am +0000


PDF: m10096_2.13.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m10096_2.13.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: 2.13 Dec 17, 2013 10:15 am +0000 by Collins Williamson
added moravec as maintainer

Version: 2.12 Jul 29, 2010 2:35 pm +0000 by Collins Williamson
2010 update

Version: 2.11 Sep 30, 2009 4:41 pm +0000 by Richard Baraniuk
added google analytics tracking code

Version: 2.10 Jun 24, 2005 7:31 pm +0000 by Charlet Reedstrom
update to cnxml-0.5

Version: 2.9 Mar 23, 2005 4:37 pm +0000 by Charlet Reedstrom
fixed cnxn

Version: 2.8 Jul 9, 2003 2:05 pm +0000 by Charlet Reedstrom

Version: 2.7 Jun 12, 2002 12:00 am +0000 by (Unknown)
converted module to cnxml-0.4 and fixed most cnxns

Version: 2.6 May 28, 2002 12:00 am +0000 by (Unknown)
added type=fn where needed

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

Version: 2.4 Jun 20, 2001 12:00 am +0000 by (Unknown)
added more links

Version: 2.3 Jun 20, 2001 12:00 am +0000 by (Unknown)
0.3.5 ified the module and added some links but still needs more

Version: 2.2 Jun 20, 2001 12:00 am +0000 by (Unknown)
Fixed some of the missing links, and removed the quotes from the section name.

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

Version: 2.0 Jun 13, 2001 12:00 am +0000 by (Unknown)
Added initial template for new module m10096

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: Richard Baraniuk
  • the title of the work: Introduction to Fourier Analysis
  • 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:

Baraniuk, R. Introduction to Fourier Analysis, OpenStax-CNX Web site., Dec 17, 2013.

American Medical Assocation (AMA) Manual of Style:

Baraniuk R. Introduction to Fourier Analysis [OpenStax-CNX Web site]. December 17, 2013. Available at:

American Psychological Assocation (APA) Publication Manual:

Baraniuk, R. (2013, December 17). Introduction to Fourier Analysis. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Baraniuk, Richard. "Introduction to Fourier Analysis." OpenStax-CNX. December 17, 2013.

Chicago Manual of Style (Note):

Richard Baraniuk, "Introduction to Fourier Analysis," OpenStax-CNX, December 17, 2013,

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

Baraniuk, R. 2013. Introduction to Fourier Analysis. OpenStax-CNX, December 17, 2013.

Modern Languages Association (MLA) Style Manual:

Baraniuk, Richard. Introduction to Fourier Analysis. OpenStax-CNX. 17 Dec. 2013 <>.