Superresolution of FT-NMR Spectra by the Maximum Entropy Method and AR Model Fitting with Singular Value Decomposition

Takanori Uchiyama, Haruyuki Minamitani, Makoto Sakata

Research output: Contribution to journalArticle

2 Citations (Scopus)


The complex maximum entropy method and complex autoregressive model fitting with the singular value decomposition method (SVD) were applied to the free induction decay signal data obtained with a Fourier transform nuclear magnetic resonance spectrometer to estimate superresolved NMR spectra. The practical estimation of superresolved NMR spectra are shown on the data of phosphorus-31 nuclear magnetic resonance spectra. These methods provide sharp peaks and high signal-to-noise ratio compared with conventional fast Fourier transform. The SVD method was more suitable for estimating superresolved NMR spectra than the MEM because the SVD method allowed high-order estimation without spurious peaks, and it was easy to determine the order and the rank.

Original languageEnglish
Pages (from-to)212-218
Number of pages7
JournalJapanese journal of applied physics
Issue number1 R
Publication statusPublished - 1990 Jan



  • Maximum entropy method
  • Nuclear magnetic resonance
  • Singular value decomposition
  • Superresolution

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

Cite this