I have some clarifications required in this topic So initially I know that to shift a signal $X(f)$ by $f_0$ we need to take its inverse fourier transform and multiply it with a factor of $\exp(−j2\pi f_0)$.
Now as I understand it, in the frequency domain the spectrum is shifted by the value of $f_0$ from its original frequency, correct?
So therefore, is the frequency of my original signal $x(t)$ actually increasing/decreasing?(depending again on the value specified by $f_0$)
Now coming to my problem at hand, I'm trying to design a receiver which compensates for doppler effect.
And as I've read up a doppler shift is nothing but an increase in frequency so am I on the right track in considering a frequency shift or should I actually consider a frequency scaling approach?
Or can someone tell me what exactly does a Doppler shift in frequency have an effect in the time domain?