Connexions

Sections
You are here: Home » Content » Fast Fourier Transforms

About: Fast Fourier Transforms

Collection type: Book

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

View content

Metadata

Name: Fast Fourier Transforms
ID: col10550
Language: English (en)
Summary: This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
Collection Subtype: Book
Subject: Mathematics and Statistics, Science and Technology
Keywords: Cooley Tukey FFT, Fast Fourier Transform, FFT, PFA, Prime Factor Algorithm, WFTA, Winograd Fourier Transform Algorithm
License: Creative Commons Attribution License CC-BY 2.0
Authors: C. Sidney Burrus (csb@rice.edu)
Copyright Holders: C. Sidney Burrus (csb@rice.edu)
Maintainers: C. Sidney Burrus (csb@rice.edu), Daniel Williamson (dcwill@cnx.org)
Latest version: 1.18 (history)
First publication date: Jun 2, 2008 11:56 am GMT-5
Last revision to collection: Apr 5, 2009 11:05 am GMT-5

Version History

Version: 1.20 Sep 9, 2009 1:29 pm GMT-5 by Daniel Williamson
Changes: 
added google analytics code
Version: 1.19 Aug 24, 2009 10:15 am GMT-5 by C. Sidney Burrus
Changes: 
font change
Version: 1.18 Apr 5, 2009 11:05 am GMT-5 by C. Sidney Burrus Currently viewing this version.
Changes: 
8.5x11 size, 12 pt font
Version: 1.17 Apr 5, 2009 10:40 am GMT-5 by C. Sidney Burrus
Changes: 
parameters
Version: 1.16 Apr 4, 2009 9:25 pm GMT-5 by C. Sidney Burrus
Changes: 
para
Version: 1.15 Apr 4, 2009 9:13 pm GMT-5 by C. Sidney Burrus
Changes: 
para
Version: 1.14 Apr 4, 2009 8:40 pm GMT-5 by C. Sidney Burrus
Changes: 
parameters
Version: 1.13 Apr 4, 2009 8:29 pm GMT-5 by C. Sidney Burrus
Changes: 
parameters
Version: 1.12 Apr 4, 2009 3:15 pm GMT-5 by C. Sidney Burrus
Changes: 
8.5x11
Version: 1.11 Apr 4, 2009 10:20 am GMT-5 by C. Sidney Burrus
Changes: 
New version CnXML
Version: 1.10 Nov 26, 2008 9:55 am US/Central by Daniel Williamson
Changes: 
changed parameters
Version: 1.9 Oct 5, 2008 11:34 am GMT-5 by C. Sidney Burrus
Changes: 
added Appendix 4
Version: 1.8 Sep 16, 2008 1:48 pm GMT-5 by Daniel Williamson
Changes: 
removed empty subcollection
Version: 1.7 Sep 3, 2008 10:02 pm GMT-5 by C. Sidney Burrus
Changes: 
added Appendix 3
Version: 1.6 Sep 2, 2008 2:20 pm GMT-5 by C. Sidney Burrus
Changes: 
role changes
Version: 1.5 Jul 24, 2008 9:46 pm GMT-5 by C. Sidney Burrus
Changes: 
change roles
Version: 1.4 Jul 18, 2008 5:15 pm GMT-5 by Daniel Williamson
Changes: 
code blocks edited
Version: 1.3 Jul 18, 2008 11:05 am GMT-5 by Daniel Williamson
Changes: 
add section comments
Version: 1.2 Jul 18, 2008 10:18 am GMT-5 by Daniel Williamson
Changes: 
image and role corrections
Version: 1.1 Jul 14, 2008 2:16 pm GMT-5 by Daniel Williamson
Changes: 
Created Collection

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions 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 2.0), you must include

  • the authors' names: C. Burrus
  • the title of the work: Fast Fourier Transforms
  • the Connexions URL where the work can be found: http://cnx.org/content/col10550/1.18/

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 2.0) of this work:

American Chemical Society (ACS) Style Guide:

Burrus, C. Fast Fourier Transforms, Connexions Web site. http://cnx.org/content/col10550/1.18/, Apr 5, 2009.

American Medical Assocation (AMA) Manual of Style:

Burrus C. Fast Fourier Transforms [Connexions Web site]. April 5, 2009. Available at: http://cnx.org/content/col10550/1.18/.

American Psychological Assocation (APA) Publication Manual:

Burrus, C. (2009, April 5). Fast Fourier Transforms. Retrieved from the Connexions Web site: http://cnx.org/content/col10550/1.18/

Chicago Manual of Style (Bibliography):

Burrus, C.. "Fast Fourier Transforms." Connexions. April 5, 2009. http://cnx.org/content/col10550/1.18/.

Chicago Manual of Style (Note):

C. Burrus, "Fast Fourier Transforms," Connexions, April 5, 2009, http://cnx.org/content/col10550/1.18/.

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

Burrus, C. 2009. Fast Fourier Transforms. Connexions, April 5, 2009. http://cnx.org/content/col10550/1.18/.

Modern Languages Association (MLA) Style Manual:

Burrus, C.. Fast Fourier Transforms. Connexions. 5 Apr. 2009 <http://cnx.org/content/col10550/1.18/>.