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Collection type: Technical report

Report by: John Treichler. E-mail the author

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Name: Notes on the Design of Optimal FIR Filters
ID: col10553
Language: English (en)
Summary: A recurring technical task development of digital signal processing products and systems is the design of FIR digital filters. Fortunately some excellent software packages exist for the automatic synthesis of impulse responses for such filters, many of them based on the now-famous Parks-McClellan algorithm. Unfortunately, there is still some mystery about how to use the software and, equally important, how to estimate impulse response lengths short of actually designing the filter itself. This technical note primarily addresses the second problem and indirectly discusses a bit the first. We examine here how to convert a typical filter specification in terms of cutoff frequency, passband ripple, etc., into a reasonably accurate estimate of the length of the impulse response. Not only does this estimate suffice for most design tradeoff exercises, it usually allows the Parks-McClellan routines to be employed only once or twice rather than the multiple times needed when the “cut-and-try" method is used.
Collection Subtype: Technical report
Subject: Science and Technology
Keywords: digital signal processing, FIR, FIR digital filters, Parks-McClellan
License: Creative Commons Attribution License CC-BY 2.0
Authors: John Treichler (jrt@appsig.com)
Copyright Holders: John Treichler (jrt@appsig.com)
Maintainers: John Treichler (jrt@appsig.com), Raymond Wagner (rwagner@rice.edu), C. Sidney Burrus (csb@rice.edu), Daniel Williamson (dcwill@cnx.org), Richard Baraniuk (richb@rice.edu)
Latest version: 1.3 (history)
First publication date: May 21, 2008 4:32 pm GMT-5
Last revision to collection: Sep 14, 2009 4:30 pm GMT-5

Version History

Version: 1.3 Sep 14, 2009 4:30 pm GMT-5 by Daniel Williamson
Changes: 
added google analytics tracking code
Version: 1.2 Oct 15, 2008 11:13 am GMT-5 by Daniel Williamson
Changes: 
final publication
Version: 1.1 Jul 19, 2008 4:35 pm GMT-5 by John Treichler
Changes: 
This is the first published version

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Treichler J. Notes on the Design of Optimal FIR Filters [Connexions Web site]. September 14, 2009. Available at: http://cnx.org/content/col10553/1.3/.

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Treichler, J. (2009, September 14). Notes on the Design of Optimal FIR Filters. Retrieved from the Connexions Web site: http://cnx.org/content/col10553/1.3/

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Treichler, John. "Notes on the Design of Optimal FIR Filters." Connexions. September 14, 2009. http://cnx.org/content/col10553/1.3/.

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John Treichler, "Notes on the Design of Optimal FIR Filters," Connexions, September 14, 2009, http://cnx.org/content/col10553/1.3/.

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Treichler, J. 2009. Notes on the Design of Optimal FIR Filters. Connexions, September 14, 2009. http://cnx.org/content/col10553/1.3/.

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Treichler, John. Notes on the Design of Optimal FIR Filters. Connexions. 14 Sep. 2009 <http://cnx.org/content/col10553/1.3/>.