Iterative deconvolution of quadrupole split NMR spectra

We propose a simple method to deconvolute NMR spectra of quadrupolar nuclei in order to separate the distribution of local magnetic hyperfine field from the quadrupole splitting. It is based on an iterative procedure which allows to express the intensity of a single NMR line directly as a linear combination of the intensities of the total experimental spectrum at a few related frequencies. This procedure is argued to be an interesting complement to Fourier transformation since it can lead to a significant noise reduction in some frequency ranges. This is demonstrated in the case of the B-11-NMR spectrum in SrCu2(BO3)(2) at a field of 31.7 T, where a magnetization plateau at 1/6 of the saturation has been observed.