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Change in reference plane

In the measurement of active devices, it is impractical to attach RF connectors to the actual device terminals. By embedding the device in the transmission line structure, we can then measure the device's S-parameter with a change of reference plane as shown in Figure 9.

 figure302
Figure 9: Different measurement planes

The S-parameter matrix measurement, text_wrap_inline2873, at these two planes is related to the S-parameter of the device under test, S, by
eqnarray307

where
equation312

In case of two-port network,
equation319