I have a simple complex exponential signal of the form x(t)=e(adsbygoogle = window.adsbygoogle || []).push({}); ^{jωt}. To find period of the signal I tested if x(t)=x(t+nT) for all n:

e^{jωt}=e^{jω(t+nT)}⇒ e^{jωnT}=1=e^{j2πk}

where n and k are integers. Then I find a general period expression as

T=2πk/ωn

Period T means it is the least time a signal repeat itself. As an example, pick k=1, n=1, then T_{1}=2π/ω. Now pick k=3, n=2, then T_{2}=3π/ω. These two periods seem valid for the same signal x(t) in contrary it shouldn't, since a signal should have only one period. Am I missing something here?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Period of a complex exponential signal

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**