Fourier Transform Frequency

[jungykang]

Okay, after figuring the Fourier Transform out, I am stuck on one final thing.
In F(w), in the frequency domain, after f(t) has been transformed, what does the frequency values correspond to?
By that I mean do they indicate the frequency of cosines? sines? phasors (e^iwt)??

Thanks in advance!

 

[Ishuda]

Okay, after figuring the Fourier Transform out, I am stuck on one final thing.
In F(w), in the frequency domain, after f(t) has been transformed, what does the frequency values correspond to?
By that I mean do they indicate the frequency of cosines? sines? phasors (e^iwt)??

Thanks in advance!

From a physical standpoint, it depends on what problem you are working. For a time/frequency domain, say something like a broadcast signal (music, voice, noise, light, ....) they are the frequencies which the signal is composed of. From the standpoint of say the position of a perfect pendulum, it is the repeat rate (frequency) of the position and direction of the pendulum and for the non perfect pendulum it also includes the repeat rate of the 'wobble in the pendulum'.

For the Fourier Transform, the frequencies are composed of all frequencies between \(\displaystyle \pm\)∞. For the Fourier Series, the frequencies are composed of individual discrete frequencies between 0 and ∞.

At least that is how I have interpreted it.