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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 exists some T>0 such that: | ||
| − | + | x(t) ≠ x(t+T) | |
| − | -Consider <math> x(t) = sin(t) </math> from 0 to 8pi | + | -Consider <math> x(t) = exp(-.05*t)*sin(2*t) </math> from 0 to 8pi |
| − | <center>[[Image: | + | <center>[[Image:Sin_decr.jpg _ECE301Fall2008mboutin|400px]]</center> |
Revision as of 08:49, 5 September 2008
Continuous Time
Periodic signals
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
A signal is NOT periodic if the converse is true, there exists some T>0 such that: x(t) ≠ x(t+T)
-Consider $ x(t) = exp(-.05*t)*sin(2*t) $ from 0 to 8pi
