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About: Sampling Theory and Spline Interpolation

Module by: Rebecca Willett. E-mail the author

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Name: Sampling Theory and Spline Interpolation
ID: m11126
Language: English (en)
Summary: In this module, Shannon's classical sampling theory is compared to digital to analog signal reconstruction using spline interpolation. In the spline method, the signal is reconstructed using sample-weighted cardinal splines as opposed to sample-weighted sinc functions.
Subject: Science and Technology
Keywords: analog, B-splines, cardinal splines, samples, Shannon, sinc
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Rebecca Willett (rebecca.willett@ieee.org)
Copyright Holders: Rebecca Willett (rebecca.willett@ieee.org)
Maintainers: Alena Scott (oetting@stat.rice.edu), Sujesh Sreedharan (sujesh@rice.edu), Rebecca Willett (rebecca.willett@ieee.org), Adan Galvan (agalvan@gmail.com), Charlet Reedstrom (charlet@rice.edu)
Latest version: 2.3 (history)
First publication date: Apr 23, 2003 12:00 am GMT-5
Last revision to module: Sep 24, 2003 4:58 pm GMT-5
Module XML: m11126_2.3.cnxml

Version History

Version: 2.3 Sep 24, 2003 4:58 pm GMT-5 by Charlet Reedstrom
Changes: 
entered cnxml/mathml markup, made figures smaller so they would work in print and look better online
Version: 2.2 May 6, 2003 12:00 am GMT-5 by Rebecca Willett
Changes: 
Uploaded cnx.sty, SplineInterp.pdf, SplineInterp.tex.
Version: 2.1 May 1, 2003 12:00 am GMT-5 by Rebecca Willett
Changes: 
Added images.
Version: 2.0 Apr 23, 2003 12:00 am GMT-5 by Rebecca Willett
Changes: 
Initial module submission.

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American Chemical Society (ACS) Style Guide:

Willett, R. Sampling Theory and Spline Interpolation, Connexions Web site. http://cnx.org/content/m11126/2.3/, Sep 24, 2003.

American Medical Assocation (AMA) Manual of Style:

Willett R. Sampling Theory and Spline Interpolation [Connexions Web site]. September 24, 2003. Available at: http://cnx.org/content/m11126/2.3/.

American Psychological Assocation (APA) Publication Manual:

Willett, R. (2003, September 24). Sampling Theory and Spline Interpolation. Retrieved from the Connexions Web site: http://cnx.org/content/m11126/2.3/

Chicago Manual of Style (Bibliography):

Willett, Rebecca. "Sampling Theory and Spline Interpolation." Connexions. September 24, 2003. http://cnx.org/content/m11126/2.3/.

Chicago Manual of Style (Note):

Rebecca Willett, "Sampling Theory and Spline Interpolation," Connexions, September 24, 2003, http://cnx.org/content/m11126/2.3/.

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

Willett, R. 2003. Sampling Theory and Spline Interpolation. Connexions, September 24, 2003. http://cnx.org/content/m11126/2.3/.

Modern Languages Association (MLA) Style Manual:

Willett, Rebecca. Sampling Theory and Spline Interpolation. Connexions. 24 Sep. 2003 <http://cnx.org/content/m11126/2.3/>.