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About: Filtering with the DFT

Module by: Robert Nowak. E-mail the author

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Name: Filtering with the DFT
ID: m11022
Language: English (en)
Summary: The ideas of using the DFT to filter a signal and recover a signal from a noisy transmission are addressed based on the ideas of the DFT and convolution.
Subject: Science and Technology
Keywords: A/D, circular convolution, convolution, D/A, DFT, discrete fourier transform, filters, fourier transform
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Robert Nowak (
Copyright Holders: Robert Nowak (
Maintainers: Michael Haag (

Latest version: 2.3 (history)
First publication date: Jan 21, 2003 12:00 am -0600
Last revision to module: Jul 26, 2005 3:58 pm -0500


PDF: m11022_2.3.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m11022_2.3.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: 2.3 Jul 26, 2005 3:58 pm -0500 by Charlet Reedstrom
update to cnxml-0.5

Version: 2.2 Feb 10, 2003 12:00 am -0600 by Charlet Reedstrom
fixed typos, put ~ and (( in mo(s), removed apply from around set tag - not needed, added markup for inline math/variables, added cnxns

Version: 2.1 Feb 7, 2003 12:00 am -0600 by (Unknown)
Added figures and fillers for all images.

Version: 2.0 Jan 21, 2003 12:00 am -0600 by (Unknown)
New module.  Needs some figures.

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American Chemical Society (ACS) Style Guide:

Nowak, R. Filtering with the DFT, OpenStax_CNX Web site., Jul 26, 2005.

American Medical Assocation (AMA) Manual of Style:

Nowak R. Filtering with the DFT [OpenStax_CNX Web site]. July 26, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Nowak, R. (2005, July 26). Filtering with the DFT. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Nowak, Robert. "Filtering with the DFT." OpenStax_CNX. July 26, 2005.

Chicago Manual of Style (Note):

Robert Nowak, "Filtering with the DFT," OpenStax_CNX, July 26, 2005,

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

Nowak, R. 2005. Filtering with the DFT. OpenStax_CNX, July 26, 2005.

Modern Languages Association (MLA) Style Manual:

Nowak, Robert. Filtering with the DFT. OpenStax_CNX. 26 July 2005 <>.