A radio system comprises a radio transmitter apparatus and a radio receiver apparatus. The radio transmitter apparatus is configured to transmit a continuous-wave radio-frequency signal having a first frequency. The radio receiver apparatus comprises: an antenna for receiving the continuous-wave radio-frequency signal; a local oscillator for generating a periodic signal at a second frequency which differs from the first frequency by a frequency offset; a mixer for mixing the received continuous-wave radio-frequency signal with the periodic signal to generate a down-mixed signal; and a processor or other circuitry configured to generate frequency-offset data from the down-mixed signal, wherein the frequency-offset data is representative of an estimate of the frequency offset. The processor or other circuitry is configured to use the frequency-offset data to generate DC-offset data representative of an estimate of a DC offset component of the down-mixed signal.