Why is a periodic function Time Variant?

AI Thread Summary
A periodic function is considered time variant because it does not maintain the same output value at all times; instead, it varies with time intervals. The definition of periodicity involves repeating values at specific time intervals, indicating that the function changes over time. While it can produce the same output for inputs spaced by the period, this characteristic does not negate its time variance. Thus, a periodic function can be viewed as a "limited time variant" system, as it exhibits both periodic behavior and time-dependent changes. Understanding this distinction is crucial for analyzing the behavior of such functions.
Dorshoshani
Hey,
I hope you can help me.
I can't understand why periodic function is Time Variant.

thanks
Dor.
 
Engineering news on Phys.org
Because it does not take the same value for all times.
 
The definition of periodic means occurring at intervals of time.
 
In my opinion, a periodic function is a time variant system if the considered time is in the limits of the periodic time constant.
However, since a different input value produces a same output value if the time difference is a multiple of time constant you may consider a periodic function as a "limited time variant”.
 

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