(→Periodic signals) |
(→Periodic signals) |
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A signal is periodic if there exists some T>0 such that: | A signal is periodic if there exists some T>0 such that: | ||
<math> x(t) = x(t+T) </math> | <math> x(t) = x(t+T) </math> | ||
| + | |||
| + | -Consider <math> x(t) = sin(t) </math> from 0 to 8pi | ||
| + | <center>[[Image:sin.jpg _ECE301Fall2008mboutin|400px]]</center> | ||
| + | |||
| + | A signal is NOT periodic if the converse is true, there exists some T>0 such that: | ||
| + | <math> x(t) ≠ x(t+T) </math> | ||
-Consider <math> x(t) = sin(t) </math> from 0 to 8pi | -Consider <math> x(t) = sin(t) </math> from 0 to 8pi | ||
<center>[[Image:sin.jpg _ECE301Fall2008mboutin|400px]]</center> | <center>[[Image:sin.jpg _ECE301Fall2008mboutin|400px]]</center> | ||
Revision as of 08:47, 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) = sin(t) $ from 0 to 8pi
