Noise Suppression Method for Magnetic Resonance Sounding Signals Based on Double Singular Value Decomposition

Radio Science ◽  
2019 ◽  
Vol 54 (6) ◽  
pp. 517-530
Author(s):  
Baofeng Tian ◽  
Hua Ren ◽  
Xiaofeng Yi ◽  
Guanfeng Du ◽  
Chuandong Jiang
Keyword(s):  
Magnetic Resonance ◽  
Singular Value Decomposition ◽  
Noise Suppression ◽  
Singular Value ◽  
Magnetic Resonance Sounding ◽  
Suppression Method ◽  
Value Decomposition

Local singular value decomposition for signal enhancement of seismic data

Geophysics ◽  
2007 ◽  
Vol 72 (2) ◽  
pp. V59-V65 ◽  
Author(s):  
Maïza Bekara ◽  
Mirko Van der Baan
Keyword(s):  
Singular Value Decomposition ◽  
Noise Suppression ◽  
Signal To Noise Ratio ◽  
Real Data ◽  
Global Scale ◽  
Signal Enhancement ◽  
Singular Value ◽  
Median Filtering ◽  
Seismic Sections ◽  
Value Decomposition

Singular value decomposition (SVD) is a coherency-based technique that provides both signal enhancement and noise suppression. It has been implemented in a variety of seismic applications — mostly on a global scale. In this paper, we use SVD to improve the signal-to-noise ratio of unstacked and stacked seismic sections, but apply it locally to cope with coherent events that vary with both time and offset. The local SVD technique is compared with [Formula: see text] deconvolution and median filtering on a set of synthetic and real-data sections. Local SVD is better than [Formula: see text] deconvolution and median filtering in removing background noise, but it performs less well in enhancing weak events or events with conflicting dips. Combining [Formula: see text] deconvolution or median filtering with local SVD overcomes the main weaknesses associated with each individual method and leads to the best results.

Denoising of 3D magnetic resonance images by using higher-order singular value decomposition

2015 ◽  
Vol 19 (1) ◽  
pp. 75-86 ◽  
Author(s):  
Xinyuan Zhang ◽  
Zhongbiao Xu ◽  
Nan Jia ◽  
Wei Yang ◽  
Qianjin Feng ◽  
...  
Keyword(s):  
Magnetic Resonance ◽  
Singular Value Decomposition ◽  
Magnetic Resonance Images ◽  
Higher Order ◽  
Singular Value ◽  
Value Decomposition
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