世界地质    2018 37 (2): 636-645   ISSN: 1004-5589  CN: 22-1111/P   基于LDPC矩阵采样方法的三维地震数据重构 常傲1, 韩立国1, 于江龙2, 张良1 1. 吉林大学 地球探测科学与技术学院, 长春 130026; 2. 中国石油新疆油田分公司 勘探开发研究院, 新疆 克拉玛依 834000 收稿日期 2017-10-31  修回日期 2018-03-06  网络版发布日期 null 参考文献  [1] Herrmann F J, Hennenfent G. Non-parametric seismic data recovery with curvelet frames[J]. Geophysical Journal International, 2008, 173(1):233-248. [2] Hennenfent G, Fenelon L, Herrmann F J. Nonequispaced curvelet transform for seismic data reconstruction:a sparsity-promoting approach[J]. Geophysics, 2010, 75(6):WB203-WB210. [3] 李宇,韩立国,叶林,等.基于F-K域和Curvelet-中值滤波联合去噪的混采数据分离方法[J].世界地质,2017,36(2):609-615. LI Yu,HAN Li-guo,YE Lin,et al.Blended acquisition data separation method based on F-K domain and Curvelet-median filter joint denosing[J]. Global Geology,2017, 36(2):609-615. [4] Labate D, Lim W Q, Kutyniok G, et al. Sparse multidimensional representation using shearlets[J]. Optics & Photonics, 2005, 5914:59140U. [5] Aharon M, Elad M, Bruckstein A. K-SVD:an algorithm for designing overcomplete dictionaries for sparse representation[J]. IEEE Transactions on Signal Processing, 2006, 54(11):4311-4322. [6] 詹可军,宋建新. 图像压缩感知中常用测量矩阵的性能比较[J]. 电视技术,2014,38(5):1-4. ZHAN Ke-jun, SONG Jian-xin.Performance comparison of commonly used measurement matrix in image compressed sensing[J].Video Engineering, 2014,38(5):1-4. [7] 邓爱淘. 基于LDPC码的压缩感知测量矩阵研究:博士学位论文[D].湘潭:湘潭大学,2015. DENG Ai-tao. Research on measurement matrix for compressed sensing based on LDPC code;doctor's degree thesis[D].Xiangtan:Xiangtan University,2015. [8] 钟菲. 压缩感知理论在LDPC信道编码的应用研究:博士学位论文[D].长春:吉林大学,2013. ZHONG Fei.Application research of compressed sensing theory in LDPC channel coding:doctor's degree thesis[D].Changchun:Jilin University,2013. [9] 唐刚. 基于压缩感知和稀疏表示的地震数据重建与去噪:博士学位论文[D].北京:清华大学,2010. TANG Gang. Seismic data reconstruction and denoising based on compressive sensing and sparse representation:doctor's degree thesis[D].Beijing:Tsinghua University,2010. [10] 刘文明. LDPC码编译码研究及应用:博士学位论文[D].武汉:华中科技大学,2006. LIU Wen-ming. Research on LDPC codes and applications:doctor's degree thesis[D].Wuhan:Huazhong University of Science and Technology,2006. [11] Candès E J, Wakin M B. An introduction to compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2):21-30. [12] Donoho D L. Compressed sensing[J]. IEEE Transactions on information theory, 2006, 52(4):1289-1306. [13] 周岩,韩立国,于江龙,等.稀疏反演求解基追踪降噪问题的地震谱分解方法[J].世界地质,2016,35(2):517-525. ZHOU Yan,HAN Li-guo,YU Jiang-long,et al.Using sparse inversion method solving basic pursuit de-noising problem for seismic spectral decomposition[J].Global Geology,2016,35(2):517-525. [14] Baraniuk R G. Compressive sensing[lecture notes] [J]. IEEE Signal Processing Magazine, 2007, 24(4):118-121. [15] Candès E J. The restricted isometry property and its implications for compressed sensing[J]. Comptes Rendus Mathematique, 2008, 346(9/10):589-592. [16] Candes E J, Plan Y. A probabilistic and RIPless theory of compressed sensing[J]. IEEE Transactions on Information Theory, 2011, 57(11):7235-7254. [17] CAI Rui, ZHAO Qun, SHE De-ping et al. Bernoulli-based random undersampling schemes for 2D seismic data regularization[J]. Applied Geophysics, 2014(3):321-330,351-352. [18] Perez D O, Velis D R, Sacchi M D. High-resolution prestack seismic inversion using a hybrid FISTA least-squares strategy[J]. Geophysics, 2013, 78(5):R185-R195. 通讯作者: 韩立国(1961-),男,教授,主要从事地震波场正反演与成像、地震属性与地球物理信号分析等方面的研究.E-mail:hanliguo@jlu.edu.cn