Wavelet Transform-Based Signal Denoising in Low-Field NMR

Low-field NMR often uses permanent magnet. The signals obtained contain high level of white Gaussian noises, and have low signal-to-noise ratio (SNR). In recent years, many denoising methods have been proposed for low-field NMR measurements. Most of these methods can remove noises without losing use...

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Main Authors: CHANG Xiao, SU Guan-qun, NIE Sheng-dong
Format: Article
Language:zho
Published: Science Press 2018-09-01
Series:Chinese Journal of Magnetic Resonance
Subjects:
Online Access:http://121.43.60.238/bpxzz/EN/10.11938/cjmr20182615#
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author CHANG Xiao
SU Guan-qun
NIE Sheng-dong
author_facet CHANG Xiao
SU Guan-qun
NIE Sheng-dong
author_sort CHANG Xiao
collection DOAJ
description Low-field NMR often uses permanent magnet. The signals obtained contain high level of white Gaussian noises, and have low signal-to-noise ratio (SNR). In recent years, many denoising methods have been proposed for low-field NMR measurements. Most of these methods can remove noises without losing useful information contained in the original signals. Wavelet transform is the most popular denoising method among them. In this paper, we first introduced the theory of wavelet transform analysis, followed by review of three wavelet transform denoising methods for low-field NMR, namely the wavelet threshold method, the wavelet transform modulus maximum method and the correlation of wavelet coefficient method. Finally, we showed that four parameters could be calculated to evaluate the denoising performance.
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spelling doaj.art-a39808b7f22b466da706e0496a0acc992022-12-22T01:05:47ZzhoScience PressChinese Journal of Magnetic Resonance1000-45561000-45562018-09-0135339340610.11938/cjmr20182615Wavelet Transform-Based Signal Denoising in Low-Field NMRCHANG Xiao0SU Guan-qun1NIE Sheng-dong 2Institute of Medical Imaging Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaInstitute of Medical Imaging Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaInstitute of Medical Imaging Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaLow-field NMR often uses permanent magnet. The signals obtained contain high level of white Gaussian noises, and have low signal-to-noise ratio (SNR). In recent years, many denoising methods have been proposed for low-field NMR measurements. Most of these methods can remove noises without losing useful information contained in the original signals. Wavelet transform is the most popular denoising method among them. In this paper, we first introduced the theory of wavelet transform analysis, followed by review of three wavelet transform denoising methods for low-field NMR, namely the wavelet threshold method, the wavelet transform modulus maximum method and the correlation of wavelet coefficient method. Finally, we showed that four parameters could be calculated to evaluate the denoising performance.http://121.43.60.238/bpxzz/EN/10.11938/cjmr20182615#low-field NMRsignal denoisingwavelet transformwavelet threshold methodwavelet transform modulusmaximum methodcorrelation of wavelet coefficient method
spellingShingle CHANG Xiao
SU Guan-qun
NIE Sheng-dong
Wavelet Transform-Based Signal Denoising in Low-Field NMR
Chinese Journal of Magnetic Resonance
low-field NMR
signal denoising
wavelet transform
wavelet threshold method
wavelet transform modulus
maximum method
correlation of wavelet coefficient method
title Wavelet Transform-Based Signal Denoising in Low-Field NMR
title_full Wavelet Transform-Based Signal Denoising in Low-Field NMR
title_fullStr Wavelet Transform-Based Signal Denoising in Low-Field NMR
title_full_unstemmed Wavelet Transform-Based Signal Denoising in Low-Field NMR
title_short Wavelet Transform-Based Signal Denoising in Low-Field NMR
title_sort wavelet transform based signal denoising in low field nmr
topic low-field NMR
signal denoising
wavelet transform
wavelet threshold method
wavelet transform modulus
maximum method
correlation of wavelet coefficient method
url http://121.43.60.238/bpxzz/EN/10.11938/cjmr20182615#
work_keys_str_mv AT changxiao wavelettransformbasedsignaldenoisinginlowfieldnmr
AT suguanqun wavelettransformbasedsignaldenoisinginlowfieldnmr
AT nieshengdong wavelettransformbasedsignaldenoisinginlowfieldnmr