I will try to answer
on some of your questions:
1. What value of inductance I should use
with power choke inductor, refer to application
The inductor value should give you a
reactance of several hundreds ohms (at least
300 ohms) in your lowest frequency of operation.
remember that as the frequency increases, XL
increases as well.
In addition, you
should choose the inductor such that its SRF
(Self-Resonance Frequency) would be at least
twice higher than your maximal frequency of
operation in order to avoid a capacitive reactance.
How I define output M.N.? refer to application
Usually for LNA, you define the output
matching network as one for conjugate match.
This is because the input matching for noise
figure degrades the return loss at the input
and reduces the overall gain (mismatch), and
as a result you loose power.
If I do a simple output conjugate matching,
should I turn on LNA, if yes, is power choke
a part of matching network?
You should design the output matching
only after your input mtaching network is fully
designed and connected to the LNA, because the
input matching network will affect your S22.
The reason for that is that the amplifier is
not unilaterlal, i.e. there is a certain feedback
from the output to the input S12.
choke (power inductor as you named it) if properly
chosen, should slightly influcnece on the output
mathcing network. Actually, it isolates between
the supply voltage to the matching network.
Usually from RF signal point of view, it only
slightly increases the gain.
output matching newtok should be designed to
the conjugate of the modified S22 (With the
influence of the input matching network).
You should turn on the LNA, in order
to measure the output power.
In general, when designing matching networks,
pay attention to the stability of the amplifier.
It is very important to check that your
required reflection coefficients are located
within the stable region.
You can perform
stability simulation or calculate K (Rollet's
Factor). For unconditional stability K>1