Resolving Scaling Ambiguities with the l1/l2 Norm in a Blind Deconvolution Problem with Feedback

被引:0
作者
Esser, Ernie [1 ]
Lin, Tim T. Y. [1 ]
Herrmann, Felix J. [1 ]
Wang, Rongrong [2 ]
机构
[1] Univ British Columbia, Dept Earth Ocean & Atmospher Sci, Vancouver, BC, Canada
[2] Univ British Columbia, Dept Math, Vancouver, BC, Canada
来源
2015 IEEE 6TH INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING (CAMSAP) | 2015年
关键词
Blind deconvolution; l(1)/l(2) norm; lifting; method of multipliers; SPARSE INVERSION; PRIMARIES;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Compared to more mundane blind deconvolution problems, blind deconvolution in seismic applications involves a feedback mechanism related to the free surface. The presence of this feedback mechanism gives us an unique opportunity to remove ambiguities that have plagued blind deconvolution for a long time. While beneficial, this feedback by itself is insufficient to remove the ambiguities even with l(1) constraints. However, when paired with an l(1)/l(2) constraint the feedback allows us to resolve the scaling ambiguity under relatively mild assumptions. Inspired by lifting approaches, we propose to split the sparse signal into positive and negative components and apply an l(1)/l(2) constraint to the difference, thereby obtaining a constraint that is easy to implement. Numerical experiments demonstrate robustness to the initialization as well as to noise in the data.
引用
收藏
页码:365 / 368
页数:4
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