A method is provided for generating and transmitting a test signal for an over-the-air test of a device-under-test that is in simulated motion. The method includes dithering Doppler shifts of a carrier frequency of the test signal on sub-path components of the test signal to produce slightly different frequencies per sub-path component, wherein the sub-path components are at a first and second polarization orientations. Dithering Doppler shifts can include dithering a first sub-path component at the first polarization orientation while keeping this sub-path component at the second polarization orientation at the original Doppler shift of the carrier frequency of the test signal, or keeping a first sub-path component at the first polarization orientation at the carrier frequency of the test signal while dithering this sub-path component at the second polarization orientation. Dithering Doppler shifts can include dithering sub-path components at the first and the second polarization orientation.