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 - The Fusion of Science and Community**

Join Physics Forums Today!

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

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

Loading...

Similar Threads - Period complex exponential | Date |
---|---|

Carrier spacing related to period to go in phase | Nov 28, 2017 |

Electric cars -- Does periodic coasting help efficiency? | Aug 2, 2017 |

A Periodic Function Looks Like This Formula? | Mar 7, 2016 |

The CT complex exponential is NOT periodic | Feb 9, 2012 |

**Physics Forums - The Fusion of Science and Community**