A method for generating a signal for a transmission antenna in a magnetic resonance imaging system includes generating a real part and an imaginary part of a baseband signal, generating a real part and an imaginary part of variations in frequency and in phase, and performing a complex multiplication of the baseband signal with the variations in frequency and in phase and a radiofrequency carrier signal for modulation. The method also includes modifying the modulated signal, and may include establishing a characteristic angle for a phase shift of the modified signal, and correcting the modulation based on the established angle in a closed-loop control.