Adaptive multiple subtraction using a constrained L1-norm method with lateral continuity
Pang Ting-Hua1, Lu Wen-Kai1, and Ma Yong-Jun1,2
1. State Key Laboratory of Intelligent Technology and Systems, Tsinghua National Laboratory for Information Science and Technology, Department of Automation, Tsinghua University, Beijing 100084, China.
2. Department of Electronic Engineering, Jiujiang Vocational and Technical Collage, Jiujiang 332007, China.
Abstract The L1-norm method is one of the widely used matching filters for adaptive multiple subtraction. When the primaries and multiples are mixed together, the L1-norm method might damage the primaries, leading to poor lateral continuity. In this paper, we propose a constrained L1-norm method for adaptive multiple subtraction by introducing the lateral continuity constraint for the estimated primaries. We measure the lateral continuity using prediction-error filters (PEF). We illustrate our method with the synthetic Pluto dataset. The results show that the constrained L1-norm method can simultaneously attenuate the multiples and preserve the primaries.
This work is sponsored by National Natural Science Foundation of China (No. 40874056), Important National Science & Technology Specific Projects 2008ZX05023-005-004, and the NCET Fund.
Cite this article:
PANG Ting-Hua,LU Wen-Kai,MA Yong-Jun. Adaptive multiple subtraction using a constrained L1-norm method with lateral continuity[J]. APPLIED GEOPHYSICS, 2009, 6(3): 241-247.
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2009, Vol. 6 
