The sampling frequency of a continuous-time signal is $S$ kHz, what does $\frac{\pi}{4}$ radians/sample in DTFT domain represent in Hz in frequency domain? Prove the relationship.
I am confused with DTFT domain and frequency domain and I do not how to put all these domains together.
If this is a homework problem, shield your eyes.
Otherwise, it is a simple units issue.
S has units of 1k samples per second.
Your frequency is expressed in radians per sample.
There are $ 2 \pi $ radians per cycle.
So the puzzle now is to find the relationship between $\frac{samples}{second}$, $\frac{radians}{sample}$, $\frac{radians}{cycle}$, and your goal of $\frac{cycles}{second}$,
