Connexions

Sections
You are here: Home » Content » Finite-Precision Error Analysis

About: Finite-Precision Error Analysis

Module by: Douglas L. Jones

View content

Metadata

Name: Finite-Precision Error Analysis
ID: m11922
Language: English (en)
Summary: Exact analysis of quantization errors is difficult because quantization is highly nonlinear. Approximating quantization errors as independent, additive white Gaussian noise processes makes analysis tractable and generally leads to fairly accurate results. Dithering can be used to make these approximations more accurate.
Subject: Science and Technology
Keywords: correlation function, dithering, power spectral density, quantization, roundoff error, truncation error
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 1.0)
Authors: Douglas L. Jones (dl-jones@uiuc.edu)
Copyright Holders: Douglas L. Jones (dl-jones@uiuc.edu)
Maintainers: Douglas L. Jones (dl-jones@uiuc.edu), Kyle Clarkson (kclarks@gmail.com)
Version: 1.2 (history)
Created: Jul 16, 2003 12:12 pm GMT-5
Revised: Dec 29, 2004 11:46 am US/Central

Version History

Version: 1.2 Dec 29, 2004 11:46 am US/Central by Douglas L. Jones
Changes: 
Fixed many textual and mathematical typos.
Changed discrete-time index to n.
Added abstract and keywords.
Version: 1.1 May 11, 2004 12:17 pm GMT-5 by Kyle Clarkson
Changes: 
First Submission

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 1.0), you must include

  • the authors' names: Douglas Jones
  • the title of the work: Finite-Precision Error Analysis
  • the Connexions URL where the work can be found: http://cnx.org/content/m11922/1.2/

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 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Jones, D. Finite-Precision Error Analysis, Connexions Web site. http://cnx.org/content/m11922/1.2/, Dec 29, 2004.

American Medical Assocation (AMA) Manual of Style:

Jones D. Finite-Precision Error Analysis [Connexions Web site]. December 29, 2004. Available at: http://cnx.org/content/m11922/1.2/.

American Psychological Assocation (APA) Publication Manual:

Jones, D. (2004, December 29). Finite-Precision Error Analysis. Retrieved from the Connexions Web site: http://cnx.org/content/m11922/1.2/

Chicago Manual of Style (Bibliography):

Jones, Douglas. "Finite-Precision Error Analysis." Connexions. December 29, 2004. http://cnx.org/content/m11922/1.2/.

Chicago Manual of Style (Note):

Douglas Jones, "Finite-Precision Error Analysis," Connexions, December 29, 2004, http://cnx.org/content/m11922/1.2/.

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

Jones, D. 2004. Finite-Precision Error Analysis. Connexions, December 29, 2004. http://cnx.org/content/m11922/1.2/.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas. Finite-Precision Error Analysis. Connexions. 29 Dec. 2004 <http://cnx.org/content/m11922/1.2/>.