I'm trying to simulate what you have there to understand what you're getting at.
I understand with say, no resistance whatsoever, like you might use with a plate choke for a common-grid amplifier, you need some resistance to damp the oscillation. Here's an example with a BFU590G I did simulating a common base with an inductor to the supply. Clearly there is oscillation, as one has the oscillation of the collector-base capacitance and the inductor. The transient analysis shows the rise of the oscillation.
![BFU590G Troubles](https://www.eevblog.com/forum/index.php?action=dlattach;topic=427228.0;attach=2187502;image)
But it doesn't really make sense to do this, I think. A common-base usually has a resistor at the collector, and then you don't get this sort of oscillation. You could use a combination of the two, which is perhaps what you're proposing?
![BFU590G Troubles](https://www.eevblog.com/forum/index.php?action=dlattach;topic=427228.0;attach=2187460;image)
But if I add inductance to the base lead, we can clearly see the oscillation starting, which is the prime issue with trying to do common-base amplifiers. I chose the value based on the information in the SPICE model file.
![BFU590G Troubles](https://www.eevblog.com/forum/index.php?action=dlattach;topic=427228.0;attach=2187466;image)
You can see the resonance peak after the base inductance is added. This is the primary problem with common base I think, that the base grounding is imperfect. An effective way to get rid of this is to add a base stopper resistor:
![BFU590G Troubles](https://www.eevblog.com/forum/index.php?action=dlattach;topic=427228.0;attach=2187472;image)
However, this has a noise and gain penalty. Adding an emitter resistor lowers the gain, adds noise, and raises the resonance frequency.
![BFU590G Troubles](https://www.eevblog.com/forum/index.php?action=dlattach;topic=427228.0;attach=2187478;image)
So you can decide what kind of situation you think is best. I included a zip file of the Qucs-S simulation if you want to play with it, including the BFU950 spice model.