Resolution enhancement and parameter estimation in fourier analysis

Resolution in Fourier spectra can be significantly enhanced by displaying magnitudes of the complex peak derivatives with respect to frequency. These derivatives are computed by the judicious application of a new kind of windows, which reduce peak widths. When thus sharpened peaks are purely Lorentzian, then simple linear or parabolic regressions allow one to compute their parameters. A Fourier‐transform ion cyclotron resonance mass spectrometric example of such an improvement is presented.