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)

Abstract

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, Part 1: Regular Papers and Short Notes and Review Papers
Volume29
Issue number1
Publication statusPublished - 1990 Jan

Fingerprint

Maximum entropy methods
maximum entropy method
Singular value decomposition
Nuclear magnetic resonance
decomposition
nuclear magnetic resonance
Magnetic resonance spectrometers
Mars Excursion Module
Fast Fourier transforms
phosphorus
Phosphorus
Signal to noise ratio
induction
Fourier transforms
signal to noise ratios
estimating
spectrometers
decay
estimates

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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