An optical IQ modulator (IQM) including two parallel Mach-Zehnder modulators (MZM1, MZM2) generates single sideband data signals. A control unit (18) generates additional optical single sideband pilot signals (PS1, PS2) positioned in a lower and a higher sideband respectively, and also further pilot signals (PS3, PS4) in both sidebands. A IQ modulator output signal (MOS) converted into electrical monitoring signals (MOS) and monitored. A control unit (18) selects control signals (CS12, CS3, CS4) and controls the IQ modulator via its bias ports (6, 7, 8) till the power transfer functions (PTF) of the Mach-Zehnder modulators (MZM1, MZM2) and the phase difference (ΔΦ) between their output signals is optimized.