Relation between Frequency deviation and multiplier

Hi,

If we multiple the carrier frequency by n times, then the frequency deviation of the input signal is also n times of original. Am I right ?

If we upconverting the carrier frequency by x Hz, what is then the relation of deviation?

Best RGs
Rayengine

These things are easier to visualize in algebra.

start with 1+d where d is deviation. If you mulitply you get 2+2d or twice the deviation.

If you mix you add and get A+1+d where A is the change in frequency. You have the same old d or deviation.

How about the phase noise, if pass through the multiplier?

The phase modulation and phase noise also gets multiplied.

The multiplication by a fraction, as done by a divider, will reduce the deviation and phase noise.