for example, say we have a wide band frequency multiplier that takes the input of 100MHz-200MHz and the output have frequency of 300MHz-600MHz（a frequency tripler).
if the signal contains a 110MHz and also a 150MHz components (to be more realistic, with different power levels), will the output be two components signal that contains 330MHz and 450MHz?
The problem comes from a project where there are two surfaces that reflect MMW wave (\$f_0\$=50GHz) and one surface is moving, the other one is not. And both reflected signal go into a receiver and were downconverted into RF signal with a carrier frequency of 630MHz (this frequency was chosen to fit the frequency multiplier requirement).
From Doppler Effect the reflected MMW from the moving surface will have different frequency (\$\delta f=f'-f_0\$). So the intermediate frequency (IF) from the receiver will have two frequency components, one is 630MHz, the other one is 630MHz+\$\delta f\$.
Next we try to frequency multiply this IF signal with two frequency multipliers (with amps, mixers, filters), as shown in picture.
The frequency multiplier we use are
1 HMC445LP (Hittite, X16, 618.75M-687.5MHz, output 9.9-11GHz, a cascaded X2 multiplier)
2 RMK-5-83+ (Mini-Circuits, X5, 1.0G-1.6G, output 5G-8GHz, a diode quad)
So the question is, we only want the signal that comes from the moving surface, but we cannot eliminate the signal from the not moving surface. If the multipliers work with two (or more) frequency components, this project will probably work. If not, then other solution is needed.