(→Non-Periodic) |
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Line 10: | Line 10: | ||
==Non-Periodic== | ==Non-Periodic== | ||
− | A signal is NOT periodic if the converse is true, there exists some T>0 such that: | + | A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such that: |
− | x(t) | + | x(t) = x(t+T) |
-Consider <math> x(t) = e^{-t/20} * sin(2t) </math> | -Consider <math> x(t) = e^{-t/20} * sin(2t) </math> | ||
<center>[[Image:Sin_decr.jpg _ECE301Fall2008mboutin|400px]]</center> | <center>[[Image:Sin_decr.jpg _ECE301Fall2008mboutin|400px]]</center> |
Revision as of 08:54, 5 September 2008
Continuous Time
Periodic
A signal is periodic if there exists some T>0 such that: $ x(t) = x(t+T) $
-Consider $ x(t) = sin(t) $ from 0 to 8pi
Non-Periodic
A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such that: x(t) = x(t+T)
-Consider $ x(t) = e^{-t/20} * sin(2t) $