Common emitter to common base configuration

Hi

I am currently designing microwave oscillators. As my GaAs HEMT transistor's stability factor is >1 I need more feedback or can adjust the configuration to common gate. This is what I am going to do.

But in the datasheet of the transistor they only mention the S-parameters of the device in common source configuration. So is there a way to calculate the common gate S-parameters out off the common source S-parameters. i.e is there any kind of transformation to do this?

Any links and papers,books are welcome.

Greetz E-goe