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Monitoring Nonlinear Profiles Using Wavelets

机译:使用小波监测非线性轮廓

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摘要

In many manufacturing processes, the quality of a product is characterized by a non-linear relationship between a dependent variable and one or more independent variables. Using nonlinear regression for monitoring nonlinear profiles have been proposed in the literature of profile monitoring which is faced with two problems; 1) the distribution of regression coefficients in small samples is unknown and 2) with the increasing complexity of process, regression parameters will increase and thereby the efficiency of control charts decreases. In this paper, wavelet transform is used in Phase II for monitoring nonlinear profiles. In wavelets transform, two parameters specify the smoothing level, the first one is threshold and the second one is decomposition level of regression function form. First, using the adjusted coefficient of determination, decomposition level is specified and then process performance is monitored using the mean of wavelet coefficients and profile variance. The efficiency of the proposed control charts based on the average run length (ARL) criterion for real data is compared with the existing control charts for monitoring nonlinear profiles in Phase II
机译:在许多制造过程中,产品质量的特征在于因变量和一个或多个自变量之间的非线性关系。在轮廓监测的文献中已经提出了使用非线性回归来监测非线性轮廓的方法,该方法面临两个问题。 1)小样本中回归系数的分布是未知的; 2)随着过程复杂性的增加,回归参数将增加,从而控制图的效率会降低。在本文中,小波变换在第二阶段中用于监视非线性轮廓。在小波变换中,有两个参数指定平滑级别,第一个参数是阈值,第二个参数是回归函数形式的分解级别。首先,使用调整后的确定系数确定分解程度,然后使用小波系数平均值和分布方差来监视过程性能。将基于实际数据的平均运行长度(ARL)准则的拟议控制图的效率与用于监视第二阶段非线性轮廓的现有控制图进行了比较

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