Fast removal of powerline harmonic noise from surface NMR datasets using a projection-based approach on graphical processing units

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Abstract

Surface nuclear magnetic resonance (NMR) measurements are notorious for their low signal-to-noise ratio (SNR). Powerlines are probably the most common source of noise and give the greatest contribution to noise levels. The noise from powerlines manifests itself as sinusoidal signals oscillating at the fundamental powerline frequency (50 Hz or 60 Hz) and at integer multiples of this frequency. Modelling and subtraction of the powerline noise has been demonstrated as a highly applicable method for improving SNR and is common practice today. However, the methods used to determine the parameters of the powerline noise are computationally expensive. Consequently, it is difficult to do real-time noise removal during acquisition of field data and therefore also difficult to do real-time quality inspection of data. Here, we demonstrate how the removal of powerline noise in surface NMR data can be significantly faster. We obtain this through two new developments. First, we apply a projection-based method to determine the powerline model, which is twice as fast as the commonly applied least-squares solution of a matrix equation. Second, we obtain a further 10 to 25 times speed-up by exploiting the high-performance parallel computations offered by graphical processing units (GPUs). We demonstrate the method on a noise-only field data set with an embedded synthetic NMR signal.

Original languageEnglish
Article number8024005
JournalIEEE Geoscience and Remote Sensing Letters
Volume19
Number of pages5
ISSN1545-598X
DOIs
Publication statusPublished - 2022

Keywords

  • Computational modeling
  • graphical processing units
  • Harmonic analysis
  • Mathematical models
  • Nuclear magnetic resonance
  • Numerical models
  • Power system harmonics
  • powerline noise
  • signal processing
  • Signal to noise ratio
  • Surface NMR

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