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Application of Hilbert-Huang Decomposition to Reduce Noise and Characterize for NMR FID Signal of Proton Precession Magnetometer

Instruments and Experimental Techniques volume 61, pages 55–64 (2018)Cite this article

Abstract

The parameters in a nuclear magnetic resonance free induction decay (FID) signal contain information that is useful in magnetic field measurement, magnetic resonance sounding and other related applications. A real time sampled FID signal is well modeled as a finite mixture of exponential sequences plus noise. We propose to use the Hilbert-Huang transform (HHT) for noise reduction and characterization, where the generalized Hilbert-Huang represents a way to decompose a signal into so-called intrinsic mode function (IMF) along with a trend, and obtain instantaneous frequency data. First, acquiring the actual untuned FID signal by a developed prototype of proton magnetometer, and then the empirical mode decomposition is performed to decompose the noise and original FID. Finally, the HHT is applied to the obtained IMFs to extract the Hilbert energy spectrum of the signal on the frequency axis. By theory analysis and the testing of an actual FID signal, the results show that, compared with general noise reduction methods such as auto correlation and singular value decomposition, combined with the proposed method can further suppress the interfered signals effectively, and can obtain different components of FID signal, which can be used to identify the magnetic anomaly, the existence of groundwater etc. This is a very important property since it can be exploited to separate the FID signal from noise and to estimate exponential sequence parameters of FID signal.

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Authors and Affiliations

  1. School of Automation, China University of Geosciences, Hubei Wuhan, 430074, China

    Huan Liu & Jian Ge

  2. School of Engineering | Faculty of Applied Science, University of British Columbia Okanagan Campus, BC, Kelowna, V1X 1V7, Canada

    Huan Liu, Haobin Dong & Zheng Liu

  3. Institute of Geophysics and Geomatics, China University of Geosciences, Hubei Wuhan, 430074, China

    Huan Liu

Authors
  1. Huan Liu
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  2. Haobin Dong
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  3. Zheng Liu
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  4. Jian Ge
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Correspondence to Haobin Dong.

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Liu, H., Dong, H., Liu, Z. et al. Application of Hilbert-Huang Decomposition to Reduce Noise and Characterize for NMR FID Signal of Proton Precession Magnetometer. Instrum Exp Tech 61, 55–64 (2018). https://doi.org/10.1134/S0020441218010256

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  • DOI: https://doi.org/10.1134/S0020441218010256