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Represented above is an example of a non-periodic function: <math> y(t)=sin(10 \pi \ln(t))</math>. | Represented above is an example of a non-periodic function: <math> y(t)=sin(10 \pi \ln(t))</math>. | ||
| − | This function is clearly not periodic because the frequency changes with time and therefore <math>y(t+T)\ | + | This function is clearly not periodic because the frequency changes with time and therefore <math>y(t+T)\ne y(t)</math>. |
Revision as of 14:52, 5 September 2008
Periodic Signal
Above is an example of a periodic signal: $ y(t) = \sin(\pi t) $
The function is periodic because as can be seen from the graph $ y(t+T)=y(t) $ where T=2 seconds.
Non-Periodic Signal
Represented above is an example of a non-periodic function: $ y(t)=sin(10 \pi \ln(t)) $. This function is clearly not periodic because the frequency changes with time and therefore $ y(t+T)\ne y(t) $.
