I'm new to radar. please excuse my question if it doesn't make sense to you.
In a pulsed radar signal, why is the required sampling frequency "2 times the inverse of pulse width" instead of "2 times the carrier center frequency"?
Consider a 100 ms pulse width and a 1000 Hz carrier frequency, i.e. there are 100 cycles of sinusoidal waves per pulse width.
If I use a sampling frequency of 2/(0.1 s), what would I get in the spectrum plot?
Also, is this sampling frequency (2*1/pulseWidth) the same as the fast time sampling frequency?