(New page: == Periodic and Non-Periodic Functions == === Periodic Functions === A continuous time signal is periodic if there exists a value <math> T </math> such that <math> x(t + T) = x(t) </mat...) |
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A discrete time signal is periodic if there exists a value <math> N </math> such that <math> X[n + N] = X[n] </math>. | A discrete time signal is periodic if there exists a value <math> N </math> such that <math> X[n + N] = X[n] </math>. | ||
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| + | As you can see in the graph, at time <math> t = 0 </math>, <math> x(t) = 0</math>. This occurs again at <math> t = 4/3\pi </math>, and again at <math> -4/3\pi </math>. | ||
Revision as of 07:56, 4 September 2008
Periodic and Non-Periodic Functions
Periodic Functions
A continuous time signal is periodic if there exists a value $ T $ such that $ x(t + T) = x(t) $.
A discrete time signal is periodic if there exists a value $ N $ such that $ X[n + N] = X[n] $.
As you can see in the graph, at time $ t = 0 $, $ x(t) = 0 $. This occurs again at $ t = 4/3\pi $, and again at $ -4/3\pi $.
