M. Ohtomo, INVARIANCE OF S-21 S-12 AND K-FACTOR UNDER PARALLEL OPERATION OF LINEAR 2-PORT DEVICES/, IEEE transactions on microwave theory and techniques, 41(11), 1993, pp. 2031-2034
Based on a generalized circuit model for parallel-operated amplifiers
with linear two-port devices, it has been proved that the S-parameter
ratio S-21/S-12 and hence MSG (Maximum Stable Gain) are invariant as l
ong as the devices have an identical value of S-21/S-12 and the input
and output networks are reciprocal. The invariance of K-factor has bee
n shown to hold for two cases: (i) devices are identical and input/out
put networks are lossless and symmetric with respect to each device, a
nd Oil identical admittances are added to the networks of case (i) so
as to connect every device port with each other. Thus at least in thes
e two cases, MAG (Maximum Available Gain) and U (Unilateral Gain) are
invariant as well as MSG under parallel operation of linear two-port d
evices. The invariance of S-21/S-12 and hence MSG applies to a variety
of parallel-operated amplifiers such as distributed amplifiers and li
near power amplifiers.