The invention provides a method for acquiring a mass spectrum with a Fourier transform mass spectrometer, wherein analyte ions and additional reporter ions oscillate at mass specific frequencies in a measuring cell of the frequency mass spectrometer and interact by Coulomb forces; the image current signal induced by the reporter ion is measured; and mass signals of the analyte ions are determined from a sideband signal of the reporter ions in the frequency domain or from the instantaneous frequency of the reporter ions in the time domain.