(en) The Burg maximum entropy method and the LPSVD modeling method have been applied to solid-state spectra. The Burg method is suitable for determining the positions of lines and the Barkhuijsen method seems to be appropriate for the determination of amplitudes and linewidths.
Dereppe, J.-M., & Jakus, N. (1988). Maximum-entropy Spectral-analysis of Nmr Signals of Solids. Journal of Magnetic Resonance, 79(2), 307-317. https://doi.org/10.1016/0022-2364(88)90222-3 (Original work published 1988)