| Kullback-Liebler测度在地震记录反演中的应用 |
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| 引用本文： | 胡必锦.Kullback-Liebler测度在地震记录反演中的应用[J].应用数学,2006,19(4):683-687. |
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| 作者姓名： | 胡必锦 |
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| 作者单位： | 重庆交通大学信息与计算科学研究所,重庆,400074 |
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| 基金项目： | 重庆市教委基础/应用基础项目 |
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| 摘 要： | 在地震记录反演中,盲目反褶积是一个相当困难的问题.讨论这个问题现有各种方法,如累积矩法等.本文利用Likas等处理图像恢复的变分法来讨论地震记录反演中的盲目反褶积问题.利用Kullback-Liebler信息测度获得一个非常有用的统计函数(即变分函数),此函数的极值点就含有所要求的反射系数序列的信息,并且拟订出求此泛数极值点的一套算法.
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| 关 键 词： | 盲目反褶积 地震记录 K-L信息测度 算法 |
| 文章编号： | 1001-9847(2006)04-0683-05 |
| 收稿时间： | 2005-07-11 |
| 修稿时间： | 2005年7月11日 |
Kullback-Liebler Measure Applied to the Blind Deconvolution |
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| HU Bi-jin.Kullback-Liebler Measure Applied to the Blind Deconvolution[J].Mathematica Applicata,2006,19(4):683-687. |
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| Authors: | HU Bi-jin |
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| Institution: | Institute of information and calculation science, Chongqing Jiaotong University, Chongqing 400074. China |
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| Abstract: | In the inversion of the seismic,to solve the problem of a blind deconvolution is pretty difficult.There are various methods to discuss this problem,such as the method of the cumulant moments etc.In the paper,the problem of a blind deconvolution in the seismic is discussed by the functional method,by which Likas etc study the problem on the restoration of an image.A statistical function (i.e.the variational function),the maximum point of which includes the information of the reflective coefficient sequence,is obtained by using the Kullback-Liebler information measure,and the algorithm is devised for computing the maximum value of the variational function. |
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| Keywords: | Blind deconvolution Seismic K-L information measure Algorithm |
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