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* Periodic Continuous-Time Signal | * Periodic Continuous-Time Signal | ||
| − | + | <math>x(t) = 3\cos(4t + \frac{\pi}{3})</math> | |
* Not Periodic Continuous-Time Signal | * Not Periodic Continuous-Time Signal | ||
Revision as of 20:37, 4 September 2008
Periodic Signal Definition
- For a Continuous-time signal
There exists a positive value of T for which
$ x(t) = x(t - T) $
for all values of t.
- For a Discrete-time signal
There exists a positive integer N for which
$ x[n] = x[n + N] $
for all values of n.
Note: N is the period of the signal.
Problems
- Periodic Continuous-Time Signal
$ x(t) = 3\cos(4t + \frac{\pi}{3}) $
- Not Periodic Continuous-Time Signal
$ x(t) = e^{j(\pit-1)} $
It is not continuous because
