Check periodicity: x(n)=sin(4n)

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 15RQ: A postage stamp capacitor has the following color marks starting at the upper-left dot: black,...
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Check periodicity:

x(n)=sin(4n)

Expert Solution
Step 1

In this case, the periodicity of the signal xn=sin4n is to be checked. 

Step 2

The general expression of a discrete-time sine wave is given as

xn=sinΩ0n--->(1) whereΩ0 is the  angular frequency of the signal

For a given discrete-time signal to be periodic, the ratio Ω02π must be rational. 

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