实验观测数据的最优正则平滑方法

为了滤除测量噪声 ,提出了一种对实验观测数据进行最优化正则平滑的数据处理方法 .文中阐述了方法的基本原理 ,并就稳定泛函和正则参数的选择等关键问题作了分析和论述 .通过一个数学模拟实例对正则化平滑方法的效果进行了验证 ,这种正则化平滑方法在数学物理反问题求解等领域具有独特的优点

The optimal regularization smoothing method for the observed experimental data

In order to filter the noisiness in the observed data, a new data processing method, so called the optimal regularization smoothing procedure, is provided in this paper. The principle of the method is introduced and some key points, i.e.the selection of the stabilization functional and the regularization parameter, are discussed in the paper. An example of mathematical simulation is presented to verify the effectiveness of the regularization smoothing method. Such a smoothing method is surely superior to the ordinary one in solving the inverse problems.