Impedance matching with complex impedance source
This is not at all clear. To stay healthy radio transmitters need a certain load. If that load is also used as your receiving antenna, the receiver in the same box probably is designed to work well with just the same antenna. Do not expect you can measure the optimal antenna impedance  by connecting a network analyzer to the antenna connector of your tranceiver box. The result will not tell anything for which load impedance the system has been designed. You must find it from the system specifications. Some radio tranceivers are their own network analyzers as well, they have antenna tuner and a special tuning mode. I guess this is not your case.

If it happens that the right load to be connected to tranceiver's antenna connector is (30+10j) Ohms you should connect the antenna+cable+possible tuning elements to your analyzer and tweak the connected system until your analyzer shows impedance = (30+10j) Ohms at the operating frequency. You use the analyzer in one port mode.