Product operator theory is widely used for analytical description of multiple pulse nuclear magnetic resonance experiments for weakly coupled spin systems. Distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap NMR experiments are used for spectral assignments of C-13 NMR spectra in CHn groups. First, in this study we proposed and showed theoretically that distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap experiments can also be used for subspectral editing of C-13 NMR spectra when C-13 nuclei coupled to spin-3/2 nuclei. The product operator technique is applied for the analytical description of C-13 distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap NMR spectroscopy for (CXn)-C-13 (I-X = 3/2; n = 1, 2, 3) groups.