Kullback-Liebler测度在地震记录反演中的应用
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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.
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.
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.
引文
[1]Garcia J A.Informationtheoretic measure for visual target distinctness[J].IEEE Trans on PAMI.,2001,23:362~382.
[2]Kulkarmi S R.Learning decision rules for pattern classification under afamily of probability measures[J].IEEE Trans on IT,1997,43:154~166.
[3]Likas A C.A variational approach for Bayesian blind i mage deconvolution[J].IEEE Trans on Signal Proc.,2004,52:2222~2233.
[4]Lalear G D.Mixed-phase wavelet esti mation using fourth-order cumulants[J].Geophysics,1993,58:1042~1049.
[5]Dogancay K.Blind detection of equalization errors in communication systems[J].IEEE Trans on IT,1997,43:469~482.
[2]Kulkarmi S R.Learning decision rules for pattern classification under afamily of probability measures[J].IEEE Trans on IT,1997,43:154~166.
[3]Likas A C.A variational approach for Bayesian blind i mage deconvolution[J].IEEE Trans on Signal Proc.,2004,52:2222~2233.
[4]Lalear G D.Mixed-phase wavelet esti mation using fourth-order cumulants[J].Geophysics,1993,58:1042~1049.
[5]Dogancay K.Blind detection of equalization errors in communication systems[J].IEEE Trans on IT,1997,43:469~482.
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