Global Geology 2016, 19(1) 55-60 DOI:     ISSN: 1673-9736 CN: 22-1371/P

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Keywords
sparse representation
seismic denoising
signal- to- noise ratio
K- singular value decomposition
learning- type overcomplete dictionary.
Authors
XU Dexin
HAN Liguo
LIU Dongyu and WEI Yajie
PubMed
Article by Xu D
Article by Han L
Article by Liu DAWY

Random seismic noise attenuation by learning- type overcomplete dictionary based on K- singular value decomposition algorithm

XU Dexin, HAN Liguo, LIU Dongyu and WEI Yajie

College of Geo- Exploration Science and Technology,Jilin University,Changchun 130026,China

Abstract

The transformation of basic functions is one of the most commonly used techniques for seismic denois- ing,which employs sparse representation of seismic data in the transform domain. The choice of transform base functions has an influence on denoising results. We propose a learning- type overcomplete dictionary based on the K- singular value decomposition (K- SVD) algorithm. To construct the dictionary and use it for random seis- mic noise attenuation,we replace fixed transform base functions with an overcomplete redundancy function library. Owing to the adaptability to data characteristics,the learning- type dictionary describes essential data characteristics much better than conventional denoising methods. The sparsest representation of signals is ob- tained by the learning and training of seismic data. By comparing the same seismic data obtained using the learning- type overcomplete dictionary based on K- SVD and the data obtained using other denoising methods, we find that the learning- type overcomplete dictionary based on the K- SVD algorithm represents the seismic data more sparsely,effectively suppressing the random noise and improving the signal- to- noise ratio.

Keywords sparse representation   seismic denoising   signal- to- noise ratio   K- singular value decomposition   learning- type overcomplete dictionary.  
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