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Another signals doubt....

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Nischal

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Is x[n] = cos[(pi*n^2)/8] periodic. If yes, find its period
The answer given is: Periodic. period =8
How to solve this problem?
 

Nischal said:
Is x[n] = cos[(pi*n^2)/8] periodic. If yes, find its period
The answer given is: Periodic. period =8
How to solve this problem?
since ω=2Πf
assume signal is cos wn
so f=1/8

since f is expressed as the ratio of 2 inteer so it is periadic we have the condition of periodicity f=k/N
where N is fundamental period in our case it is 8.
 

Sorry for the ambiguity in the question
The question is not coswn but cos(pi*n^2/8).. here n^2 --> n squared
 

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