| 基于修正的拟牛顿法的基追踪去噪研究 |
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| 引用本文： | 代少升,肖菡.基于修正的拟牛顿法的基追踪去噪研究[J].重庆邮电学院学报(自然科学版),2010(6). |
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| 作者姓名： | 代少升 肖菡 |
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| 作者单位： | 重庆邮电大学信号与信息处理重庆市重点实验室; |
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| 基金项目： | 国家自然科学基金(60602057); 重庆市市级信号与信息处理重点实验室建设项目(CSTC,2009CA2003); 重庆市科委自然科学基金项目(CSTC,2009BB2287); 重庆邮电大学自然科学基金(A2006-04,A2006-86)~~ |
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| 摘 要： | 为提高一维信号去除噪声的稀疏分解基追踪算法的效率,提出了采用修正的拟牛顿法来解决基追踪去噪过程中的无约束优化问题。该算法在传统拟牛顿法的基础上,对BFGS(Broyden-Fletcher-Goldfarb-Shanno)公式进行修正,有效地减少了最优化过程中所需的迭代次数。实验结果表明,修正的拟牛顿法与传统算法相比,能够明显提高目标函数的收敛速率。
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| 关 键 词： | 稀疏分解 基追踪 去噪 修正的拟牛顿法 无约束最优化 |
Basic pursuit denoising research based on the modified quasi-Newton method |
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| DAI Shao-sheng,XIAO Han.Basic pursuit denoising research based on the modified quasi-Newton method[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2010(6). |
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| Authors: | DAI Shao-sheng XIAO Han |
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| Institution: | DAI Shao-sheng,XIAO Han(Chongqing Key Laboratory of Signal , Information Processing,Chongqing University of Posts , Telecommunications,Chongqing 400065,P.R.China) |
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| Abstract: | To improve the efficiency of using basic pursuit algorithm which belongs to the sparse decomposition for one-dimensional signal de-noising,in this paper modified quasi-Newton method was proposed to solve the unconstrained optimization problem in the process of basic pursuit de-noising.On the basis of traditional quasi-Newton method,in this algorithm the Broyden-Fletcher-Goldfarb-Shanno(BFGS)-type formula was modified,the number of iterations was reduced effectively in the optimization process.Experimental r... |
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| Keywords: | sparse decomposition basic pursuit de-noising modified quasi-Newton method unconstrained optimization |
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