High resolution NMR spectroscopy using a recursive algorithm

A nuclear magnetic resonance (NMR) spectrum estimation method is derived. Under various conditions, the proposed method is compared with the discrete Fourier transform (DFT) using a proton /sup 1/H NMR signal observed from mayonnaise in a 2 (T) static magnetic field. The results show that if spin-spin relaxation times are known previously, the method can provide a higher resolution NMR spectrum than the DFT. The method can also reduce the discrete approximation errors of the NMR spectrum. If frequency components of the sources of the NMR signal are present in a limited range in the frequency domain of interest, the method can magnify the NMR spectrum for a fixed sampling time and interval.<>