SVD-Based Technique for Interference Cancellation and Noise Reduction in NMR Measurement of Time-Dependent Magnetic Fields
1
School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
2
School of Electronics Information and Communication, Huazhong University of Science and Technology, Wuhan 430074, China
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Academic Editor: Andreas Hütten
Sensors 2016, 16(3), 323; https://doi.org/10.3390/s16030323
Received: 3 December 2015
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Revised: 25 January 2016
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Accepted: 27 January 2016
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Published: 4 March 2016
(This article belongs to the Special Issue Magnetic Sensor Device-Part 1)
A nuclear magnetic resonance (NMR) experiment for measurement of time-dependent magnetic fields was introduced. To improve the signal-to-interference-plus-noise ratio (SINR) of NMR data, a new method for interference cancellation and noise reduction (ICNR) based on singular value decomposition (SVD) was proposed. The singular values corresponding to the radio frequency interference (RFI) signal were identified in terms of the correlation between the FID data and the reference data, and then the RFI and noise were suppressed by setting the corresponding singular values to zero. The validity of the algorithm was verified by processing the measured NMR data. The results indicated that, this method has a significantly suppression of RFI and random noise, and can well preserve the FID signal. At present, the major limitation of the proposed SVD-based ICNR technique is that the threshold value for interference cancellation needs to be manually selected. Finally, the inversion waveform of the applied alternating magnetic field was given by fitting the processed experimental data.
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Keywords:
singular value decomposition; magnetic field measurement; time-dependent magnetic fields; interference cancellation; noise reduction
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MDPI and ACS Style
Chen, W.; Ma, H.; Yu, D.; Zhang, H. SVD-Based Technique for Interference Cancellation and Noise Reduction in NMR Measurement of Time-Dependent Magnetic Fields. Sensors 2016, 16, 323. https://doi.org/10.3390/s16030323
AMA Style
Chen W, Ma H, Yu D, Zhang H. SVD-Based Technique for Interference Cancellation and Noise Reduction in NMR Measurement of Time-Dependent Magnetic Fields. Sensors. 2016; 16(3):323. https://doi.org/10.3390/s16030323
Chicago/Turabian StyleChen, Wenjun, Hong Ma, De Yu, and Hua Zhang. 2016. "SVD-Based Technique for Interference Cancellation and Noise Reduction in NMR Measurement of Time-Dependent Magnetic Fields" Sensors 16, no. 3: 323. https://doi.org/10.3390/s16030323
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