Optimal deconvolution filter for high-resolution NMR spectral parameter estimation

The optimal deconvolution filter for high-resolution nuclear magnetic resonance (NMR) spectral parameter estimation is formulated. In the implementation of the algorithm, the two-dimensional parameter distribution reconstructed with the inverse filter is used as the probability density distribution for the formulation of the optimal filter. The deconvolution method for high-resolution NMR spectroscopy is first reviewed. Subsequently, the optimal filter process is modeled as an estimation procedure based on data over a finite-size observation aperture. The optimal filter improve the accuracy of the estimation of the complex amplitudes of the signal components. Simulated reconstructions were used to demonstrate the improvement of the resolving capability