Wideband impedance matching to an LNA with varying impedance over frequency
If you want to match the impedances at the input and at the output you could use pieces of transmission line and open circuit stubs between the transistor and the "IN"/"OUT" you are talking about.I always prefer open circuit stubs because I find short circuit difficult to create.You must be given the optimum reflection coefficient of your transistor.Use that as the source reflection coefficient (Since you want to minimize the noise figure) and proceed with TL and stub design.At the output you can maximize the gain.Output does not have much to do with noise.Just use conjugate matching.