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About: Multidimensional Index Mapping

Module by: C. Sidney Burrus. E-mail the author

View the content: Multidimensional Index Mapping


Name: Multidimensional Index Mapping
ID: m16326
Language: English (en)
Summary: A change of index variable or an index mapping is used to uncouple the calculations of the discrete Fourier transform (DFT). This can result is a significant reduction in the required arithmetic and the resulting algorithm is called the fast Fourier transform (FFT).
Subject: Mathematics and Statistics
Keywords: FFT, index map, PFA
License: Creative Commons Attribution License CC-BY 3.0

Authors: C. Sidney Burrus (
Copyright Holders: C. Sidney Burrus (
Maintainers: C. Sidney Burrus (, Daniel Williamson (

Latest version: 1.12 (history)
First publication date: May 22, 2008 2:05 pm -0500
Last revision to module: May 4, 2012 10:19 pm -0500


PDF: m16326_1.12.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m16326_1.12.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: 1.12 May 4, 2012 10:19 pm -0500 by C. Sidney Burrus
new license

Version: 1.11 Sep 18, 2009 4:55 pm -0500 by Daniel Williamson
added google analytics tracking code

Version: 1.10 Aug 26, 2009 3:51 pm -0500 by C. Sidney Burrus
typos corrected

Version: 1.9 Jul 7, 2009 9:48 am -0500 by Daniel Williamson
accessibility, links, and math fixes

Version: 1.8 Apr 3, 2009 3:15 pm -0500 by C. Sidney Burrus
clean up some typos

Version: 1.7 Nov 22, 2008 5:09 pm -0600 by C. Sidney Burrus
add metadata

Version: 1.6 Nov 18, 2008 11:42 am -0600 by Daniel Williamson
images updated

Version: 1.5 Jul 24, 2008 11:37 am -0500 by Daniel Williamson
corrected cnxn parens

Version: 1.4 Jul 18, 2008 5:13 pm -0500 by Daniel Williamson
code blocks updated

Version: 1.3 Jul 18, 2008 10:10 am -0500 by Daniel Williamson
image and role corrections

Version: 1.2 Jun 4, 2008 4:07 pm -0500 by Daniel Williamson
established inter-module CNXNs

Version: 1.1 Jun 2, 2008 10:25 am -0500 by Daniel Williamson
Role adjustments, and cnxn verification

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American Chemical Society (ACS) Style Guide:

Burrus, C. Multidimensional Index Mapping, OpenStax-CNX Web site., May 4, 2012.

American Medical Assocation (AMA) Manual of Style:

Burrus C. Multidimensional Index Mapping [OpenStax-CNX Web site]. May 4, 2012. Available at:

American Psychological Assocation (APA) Publication Manual:

Burrus, C. (2012, May 4). Multidimensional Index Mapping. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Burrus, C.. "Multidimensional Index Mapping." OpenStax-CNX. May 4, 2012.

Chicago Manual of Style (Note):

C. Burrus, "Multidimensional Index Mapping," OpenStax-CNX, May 4, 2012,

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

Burrus, C. 2012. Multidimensional Index Mapping. OpenStax-CNX, May 4, 2012.

Modern Languages Association (MLA) Style Manual:

Burrus, C.. Multidimensional Index Mapping. OpenStax-CNX. 4 May 2012 <>.