Envelope function: Difference between revisions

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{{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==  

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© 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.