In a homodyne receiver for the reception of a carrier frequency signal with time-variant carrier frequency, an auxiliary signal is modulated onto the local oscillator signal selected corresponding to the current carrier frequency. A better separation of the local oscillator signals is thereby achieved by a band-pass filtering after the conversion of the carrier frequency signal into the base band. Compared to a homodyne receiver with time-variant carrier frequency but without auxiliary modulation, the RF switch for the selection of the local oscillator signal corresponding to the current carrier frequency can be realized simple and more economical. This advantage of the homodyne receiver is of particular economic significance for employment in mass-produced articles, such as in mobile and wireless communication systems.