The complex conjugate matching is similar to the load matching to system impedance except that
the target impedance can be at any point in the Smith Chart. The target point in the
Smith Chart is defined by the source impedance and is calculated by
Z s = ( R + j X ) Ω
. The target point for the transformation from Z_{L} must be the
complex conjugate defined by
Z s * = ( R − j X ) Ω
. The imaginary part of the impedance is eliminated and the real part remains.
As the impedance is not 50Ω, it must be verified if the target impedance can be reached
with the selected matching network. The losses are increased and the performance is
deteriorated if the complex conjugate matching results in a mismatch of the real
impedance. The following figure shows an example of such a complex conjugate
matching.

Figure 1. Application Example Complex
Conjugate Matching