Frequency shifter based on the cross Doppler effect (relativistic frequency shifter)

We consider microwave frequency shifters based on the cross Doppler effect (CDE). We analyse the process of the change of the frequency of electromagnetic waves, falling on such a receiver, taking account of the quantum mechanical nature of the radiation. A circuit of the experimental installation for the measurement of CDE, which can be realized on the base of quasioptical engineering, is also presented.