hi everyone
i am just begin to learn about Fourier transform
i know Fourier transform is used to analysis of signals such as Rf signal
which convert time domain to frequency domain

for example
f(t)=sin15πt
how to know signal is periodic or aperiodic
how to take Fourier transform of this function

i am trying to learn how time domain is converted in to frequency domain
please someone explain with simple trick

thanks for every help

 

A periodic signal repeats at regular intervals (an aperiodic signal does not.)

For a transform there isn't really a "simple trick" as there is a lot of theory behind the transform itself and how the two domains relate to one another.

There are, however, Fourier transform tables which list transforms for common functions.

 

Your equation, \(sin\omega_0t\) is halfway down the second page of the PDF linked above.

So if there is an FFT for it (though too long for me to type in right now), do you think that means it is periodic or transient/aperiodic? Look at the FFT of your function and decide if there is a constant, or something that will settle to a steady state.