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About: IIR Coefficient Quantization Analysis

Module by: Douglas L. Jones. E-mail the author

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Name: IIR Coefficient Quantization Analysis
ID: m11926
Language: English (en)
Summary: Proper coefficient quantization is essential for IIR filters. Sensitivity analysis shows that second-order cascade-form implementations have much lower sensitivity than higher-order direct-form or transpose-form structures. The normal form is even less sensitive, but requires more computation.
Subject: Science and Technology
Keywords: cascade-form structure, coefficient quantization, direct-form structure, IIR filter quantization, normal form, quantized pole locations, sensitivity analysis, transpose-form structure
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Douglas L. Jones (
Copyright Holders: Douglas L. Jones (
Maintainers: Douglas L. Jones (, Kyle Clarkson (

Latest version: 1.2 (history)
First publication date: Jul 17, 2003 4:02 pm -0500
Last revision to module: Jan 2, 2005 2:25 pm -0600


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Version History

Version: 1.2 Jan 2, 2005 2:25 pm -0600 by Douglas L. Jones
Minor edits and typo fixes.
Added figures of quantized pole locations.
Added links to other modules.

Version: 1.1 May 11, 2004 12:26 pm -0500 by Kyle Clarkson
First Submission

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American Chemical Society (ACS) Style Guide:

Jones, D. IIR Coefficient Quantization Analysis, OpenStax_CNX Web site., Jan 2, 2005.

American Medical Assocation (AMA) Manual of Style:

Jones D. IIR Coefficient Quantization Analysis [OpenStax_CNX Web site]. January 2, 2005. Available at:

American Psychological Assocation (APA) Publication Manual:

Jones, D. (2005, January 2). IIR Coefficient Quantization Analysis. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Jones, Douglas. "IIR Coefficient Quantization Analysis." OpenStax_CNX. January 2, 2005.

Chicago Manual of Style (Note):

Douglas Jones, "IIR Coefficient Quantization Analysis," OpenStax_CNX, January 2, 2005,

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

Jones, D. 2005. IIR Coefficient Quantization Analysis. OpenStax_CNX, January 2, 2005.

Modern Languages Association (MLA) Style Manual:

Jones, Douglas. IIR Coefficient Quantization Analysis. OpenStax_CNX. 2 Jan. 2005 <>.