Conjugate variables: Difference between revisions

Revision as of 07:11, 18 March 2020

Revision as of 07:12, 18 March 2020

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There are many types of conjugate variables, depending on the type of work a certain system is doing (or is being subjected to). Examples of canonically conjugate variables include the following:

* Duration and [[frequency]]: the longer a musical note is sustained, the more precisely we know its frequency (but it spans morea timelonger duration). Conversely, a very short musical note becomes just a click, and so one can't determine its frequency very accurately.<ref>[http://wearcam.org/chirplet.pdf "The Chirplet Transform", IEEE Transactions on Signal Processing, 43(11), November 1995, pp 2745–2761]</ref>

* [[Doppler effect|Doppler]] and range: the more we know about how far away a [[radar]] target is, the less we can know about the exact velocity of approach or retreat, and vice versa. In this case, the two dimensional function of doppler and range is known as a [[radar ambiguity function]] or '''radar ambiguity diagram'''.

* Surface energy: ''γ''&nbsp;d''A'' (''γ'' = [[surface tension]] ; ''A'' = surface area).