Envelope function: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>John R. Brews
(start page)
 
imported>John R. Brews
m (add a case)
Line 2: Line 2:
{{TOC|right}}
{{TOC|right}}
{{Image|Signal envelopes.png|right|150px|Top and bottom envelope functions for a modulated sine wave.}}
{{Image|Signal envelopes.png|right|150px|Top and bottom envelope functions for a modulated sine wave.}}
In [[physics]] and [[engineering]], the '''envelope function''' of a rapidly varying [[Signal (communications)|signal]] is a smooth curve outlining its extremes in amplitude.<ref name=Johnson/> The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function may be a function of time, or of space.
In [[physics]] and [[engineering]], the '''envelope function''' of a rapidly varying [[Signal (communications)|signal]] is a smooth curve outlining its extremes in amplitude.<ref name=Johnson/> The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function may be a function of time, or of space, or indeed of any variable.


==References==  
==References==  

Revision as of 09:08, 8 April 2012

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.
© Image: John R. Brews
Top and bottom envelope functions for a modulated sine wave.

In physics and engineering, the envelope function of a rapidly varying signal is a smooth curve outlining its extremes in amplitude.[1] The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function may be a function of time, or of space, or indeed of any variable.

References

  1. C. Richard Johnson, Jr, William A. Sethares, Andrew G. Klein (2011). “Figure C.1: The envelope of a function outlines its extremes in a smooth manner”, Software Receiver Design: Build Your Own Digital Communication System in Five Easy Steps. Cambridge University Press, p. 417. ISBN 0521189446.