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# About: IIR Filtering: Filter-Design Exercise in MATLAB

Module by: Douglas L. Jones, Swaroop Appadwedula, Matthew Berry, Mark Haun, Jake Janovetz, Michael Kramer, Dima Moussa, Daniel Sachs, Brian Wade. E-mail the authors

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 Name: IIR Filtering: Filter-Design Exercise in MATLAB ID: m10623 Language: English (en) Summary: You will derive the transfer function of a second-order, Direct Form II, infinite impulse response (IIR) filter. Then you will create a fourth-order IIR filter, plot its frequency response, and decompose the fourth-order filter into two second-order sections, choosing an appropriate gain for each stage to prevent overflow. Subject: Science and Technology Keywords: conv, difference equation, direct fortm II, DSP, ellip, elliptic low-pass filter, freqz, gain factor, IIR, impulse response, infinite impulse response, linear time-invariant, LTI, notch filter, overflow, poles, zeros Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN License: Creative Commons Attribution License CC-BY 1.0 Authors: Copyright Holders: Maintainers: Latest version: 2.11 (history) First publication date: Jun 3, 2002 12:00 am +0000 Last revision to module: Feb 25, 2004 12:37 pm +0000

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## Version History

 Version: 2.11 Feb 25, 2004 12:37 pm +0000 by Changes: ```added maintainer ``` Version: 2.10 Jul 31, 2003 10:46 am +0000 by Changes: `Updated to 0.5` Version: 2.9 Sep 5, 2002 12:00 am +0000 by (Unknown) Changes: ```added a maintainer ``` Version: 2.8 Aug 24, 2002 12:00 am +0000 by (Unknown) Changes: ```edited for style and content edited metadata ``` Version: 2.7 Aug 20, 2002 12:00 am +0000 by (Unknown) Changes: ```removed MATLAB exercise -- now its own module edited for style and content edited metadata ``` Version: 2.6 Jul 23, 2002 12:00 am +0000 by (Unknown) Changes: ```Fixed math as per bug report 675 ``` Version: 2.5 Jun 12, 2002 12:00 am +0000 by (Unknown) Changes: ```edited for style (still needs MathML conversion) ``` Version: 2.4 Jun 12, 2002 12:00 am +0000 by (Unknown) Changes: ```added paragraph on preparing for processor exercise (still needs expressions converted to MathML) ``` Version: 2.3 Jun 12, 2002 12:00 am +0000 by (Unknown) Changes: ```edited for style ``` Version: 2.2 Jun 11, 2002 12:00 am +0000 by (Unknown) Changes: ```Added maintainers ``` Version: 2.1 Jun 3, 2002 12:00 am +0000 by (Unknown) Changes: ```Created module from original IIR Filtering module (m10025). ``` Version: 2.0 Jun 3, 2002 12:00 am +0000 by (Unknown) Changes: ```Added initial template for new module m10623 ```

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## How to Cite and Attribute This Content

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### American Chemical Society (ACS) Style Guide:

Jones, D.; Appadwedula, S.; Berry, M.; Haun, M.; Janevitz, J.; Kramer, M.; Moussa, D.; Sachs, D.; Wade, B. IIR Filtering: Filter-Design Exercise in MATLAB, OpenStax_CNX Web site. http://cnx.org/content/m10623/2.11/, Feb 25, 2004.

### American Medical Assocation (AMA) Manual of Style:

Jones D, Appadwedula S, Berry M, et al. IIR Filtering: Filter-Design Exercise in MATLAB [OpenStax_CNX Web site]. February 25, 2004. Available at: http://cnx.org/content/m10623/2.11/.

### American Psychological Assocation (APA) Publication Manual:

Jones, D., Appadwedula, S., Berry, M., Haun, M., Janevitz, J., Kramer, M., Moussa, D., Sachs, D., & Wade, B. (2004, February 25). IIR Filtering: Filter-Design Exercise in MATLAB. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m10623/2.11/

### Chicago Manual of Style (Bibliography):

Jones, Douglas, Swaroop Appadwedula, Matthew Berry, Mark Haun, Jake Janevitz, Michael Kramer, Dima Moussa, Daniel Sachs, and Brian Wade. "IIR Filtering: Filter-Design Exercise in MATLAB." OpenStax_CNX. February 25, 2004. http://cnx.org/content/m10623/2.11/.

### Chicago Manual of Style (Note):

Douglas Jones and others, "IIR Filtering: Filter-Design Exercise in MATLAB," OpenStax_CNX, February 25, 2004, http://cnx.org/content/m10623/2.11/.

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

Jones, D., Appadwedula, S., Berry, M., Haun, M., Janevitz, J., Kramer, M., Moussa, D., Sachs, D., & Wade, B. 2004. IIR Filtering: Filter-Design Exercise in MATLAB. OpenStax_CNX, February 25, 2004. http://cnx.org/content/m10623/2.11/.

### Modern Languages Association (MLA) Style Manual:

Jones, Douglas, Swaroop Appadwedula, Matthew Berry, Mark Haun, Jake Janevitz, Michael Kramer, Dima Moussa, Daniel Sachs, and Brian Wade. IIR Filtering: Filter-Design Exercise in MATLAB. OpenStax_CNX. 25 Feb. 2004 <http://cnx.org/content/m10623/2.11/>.