Journal of Jilin University(Earth Science Edition) ›› 2015, Vol. 45 ›› Issue (6): 1855-1861.doi: 10.13278/j.cnki.jjuese.201506303

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Multi-Wavelet Decomposition and Reconstruction Based on Matching Pursuit Algorithm Fast Optimized by Particle Swarm

Liu Xia1, Chen Chen1, Zhao Yuting2, Wang Xin1   

  1. 1. School of Electrical Engineering and Information, Northeast Petroleum University, Daqing 163318, Heilongjiang, China;
    2. Daqing Oilfield, China National Petroleum Corporation, Daqing 163002, Heilongjiang, China
  • Received:2015-01-05 Published:2015-11-26

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Abstract:

In a multi-wavelet decomposition and reconstruction of seismic signal, the matching pursuit algorithm can be adaptive according to the characteristics of the seismic signal itself. In view of the large amount of calculation, the author presents a particle swarm fast optimization algorithm, which is used for fast search optimum matching atoms of seismic signal sparse decomposition. In concrete, the searching area is determined by the energy concentrated part of Gaussian function in the process of iteration. This can avoid the greediness during the searching process, and effectively reduce the sparse decomposition complexity. At the same time, a polynomial mutation operator is introduced in the particle swarm optimization algorithm, which can effectively avoid the excessive concentration during searching the optimal solution. The experimental results show that the algorithm can reach a precision of matching pursuit decomposition 67 times higher than before, and increase the calculation efficiency by 153 times.

Key words: multi-wavelet, matching pursuit, particle swarm optimization

CLC Number: 

  • P631.4

[1] 邱娜. 地震子波分解与重构技术研究[D]. 青岛: 中国海洋大学, 2012. Qiu Na. Research on Seismic Wavelet Decomposition and Reconstruction Technology[D]. Qingdao: Ocean University of China, 2012.

[2] 高静怀, 汪文秉, 朱光明, 等. 地震资料处理中小波函数选取研究[J]. 地球物理学报, 1996, 39(3): 392-400. Gao Jinghuai, Wang Wenbing, Zhu Guangming, et al. On the Choice of Wavelet Functions for Seismic Data Processing[J]. Chinese Journal of Geophysics, 1996, 39(3): 392-400.

[3] 王纯伟, 杨胜利. 基于地震信号的匹配追踪算法[J]. 科技信息, 2010, 7: 443, 460. Wang Chunwei, Yang Shengli. Matching Pursuit Algorithm Based on Seismic Signal[J]. Science & Technology Information, 2010, 7: 443, 460.

[4] 张繁昌, 李传辉. 基于正交时频原子的地震信号快速匹配追踪[J]. 地球物理学报, 2012, 55(1): 277-283. Zhang Fanchang, Li Chuanhui. Orthogonal Time-Frequency Atom Based on Fast Matching Pursuit for Seismic Signal[J]. Chinese Journal of Geophysics, 2012, 55(1): 277-283.

[5] 杨愚. 利用粒子群算法实现信号 OMP 稀疏分解[J]. 微计算机信息, 2008, 24(3/4): 178-179, 201. Yang Yu. Signal Sparse Decomposition Based on OMP and PSO[J]. Microcomputer Information, 2008, 24(3/4): 178-179, 201.

[6] 王春光, 刘金江, 孙即祥. 基于粒子群优化的稀疏分解最优匹配原子搜索算法[J]. 国防科技大学学报, 2008, 30(2): 83-87. Wang Chunguang, Liu Jinjiang, Sun Jixiang. Algorithm of Searching for the Best Matching Atoms Based on Particle Swarm Optimization in Sparse Decomposition[J]. Journal of National University of Defense Technology, 2008, 30(2): 83-87.

[7] Zhou Xiaojun, Yang Chunhua, Gui Weihua, et al. A Particle Swarm Optimization Algorithm with Variable Random Functions and Mutation[J]. Acta Automatica Sinica, 2014, 40(7): 1339-1347.

[8] 王国富, 张海如, 张法全, 等. 基于改进遗传算法的正交匹配追踪信号重建方法[J]. 系统工程与电子技术, 2011, 33(5): 974-977. Wang Guofu, Zhang Hairu, Zhang Faquan, et al. Orthogonal Matching Pursuit Signal Reconstruction Based on Improved Genetic Algorithm[J]. Systems Engineering and Electronics, 2011, 33(5): 974-977.

[9] Huggins P S, Zucker S W. Greedy Basis Pursuit Signal Processing[J]. IEEE Transactions, 2007, 55(7): 3760-3772.

[10] Kim S J, Koh K, Lustig M, et al. An Interior-Point Method for Large-Scale-Regularized Lease Squares[J]. IEEE Journal of Selected Topics in Signal Processing, 2007, 1(4): 606-617.

[11] 邵君, 尹忠科, 王建英. 基于FFT的MP信号稀疏分解算法的改进[J]. 西南交通大学学报, 2006, 41(4): 466-470. Shao Jun, Yin Zhongke, Wang Jianying. Improved FFT-Based MP Algorithm for Signal Sparse Decomposition[J]. Journal of Southwest Jiaotong University, 2006, 41(4): 466-470.

[12] 王纯伟. MP算法在地震信号去噪中的应用研究[D]. 成都: 西南交通大学, 2010. Wang Chunwei. The Application Research of Matching Pursuit in Seismic Signal Denoising[D]. Chengdu: Southwest Jiaotong University, 2010.

[13] 王成梅. 地震信号稀疏分解快速算法及原子库选择研究[D]. 成都: 西南交通大学, 2010. Wang Chengmei. The Research on Fast Algorithm of Seismic Signal Sparse Decomposition and Atomic Dictionary Selection[D]. Chengdu: Southwest Jiaotong University, 2010.

[14] Wang Yanghua. Multichannel Matching Pursuit for Seismic Trace Decomposition[J]. Geophysics, 2010, 75(4): 61-66.

[15] 杜润林, 刘展. 基于粒子群优化的细胞神经网络油气重力异常信息提取[J]. 吉林大学学报:地球科学版, 2015, 45(3): 926-933. Du Runlin, Liu Zhan. Gravity Anomaly Extraction for Hydrocarbon Based on Particle Swarm Optimization and Cellular Neural Networks[J]. Journal of Jilin University: Earth Science Edition, 2015, 45(3): 926-933.
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