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Statistical analysis of embedded capacitors using Monte Carlosimulation

机译:使用蒙特卡洛的嵌入式电容器的统计分析模拟

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In this paper we describe a method of accurately modeling newpassive devices by deembedding the many building blocks, from which theyare built, using just a few test structures. We use a nonlinearoptimizer to find the optimal equivalent circuit models for the buildingblocks by fitting extensive high frequency measurements of the teststructures behavior. We also demonstrate that the variation in thecomplete equivalent circuit models, based only on the circuit buildingblocks, can be used to predict such variations in actual fabricateddevices. Three sets of gridded parallel plate capacitor structures arefabricated on a Low Temperature Co-fired Ceramic (LTCC) process, using2-layers of a 12-layer process. S-parameter measurements are taken andelement values from Partial Element Equivalent Circuits (PEEC)deembedded using an HSPICE Optimization algorithm. Statisticalvariations in the deembedded element values of the structures buildingblocks are calculated and used in an HSPICE Monte Carlo Simulation tool.S-parameters are converted to y-parameters for convenience, and bothmeasured and predicted y-parameters compared. The comparison between theMonte Carlo simulation results and the measured data, determines thatthe statistical variation of the component values provides an accuraterepresentation of the overall capacitor performance. The key results inthis research are: the number of test structures needed is much lessthan the number of parameters and building blocks to be extracted; thismethodology is much faster than other finite element like methods; andthe equivalent circuit models and the process used to create them isaccurate enough to also model the variations in the actual fabricateddevices
机译:在本文中,我们描述了一种准确建模新的方法 通过解雇许多构建块的被动设备,从中 建造,只使用几个测试结构。我们使用非线性 优化器找到建筑物的最佳等效电路模型 通过拟合大量高频测量的测试来块 结构行为。我们还证明了这种变化 完整的等效电路模型,仅基于电路建筑 块,可用于预测实际制造的这种变化 设备。三组网格平行板电容器结构是 在低温共烧陶瓷(LTCC)工艺中制造,使用 2层的12层工艺。拍摄了S参数测量 部分元素等效电路(PEEC)的元素值 使用HSPICE优化算法窃取。统计 结构建筑物的解电元素值的变化 计算并在HSPICE Monte Carlo仿真工具中使用块。 S参数转换为方便的Y参数,两者都是 测量和预测的Y参数比较。比较了 Monte Carlo仿真结果和测量数据,决定了 组件值的统计变化提供了准确的 表示整体电容性能。关键是结果 这项研究是:所需的测试结构的数量要少得多 比要提取的参数和构建块的数量;这 方法的比其他有限元更快,如方法;和 等效电路模型和用于创建它们的过程是 准确的足以建模实际制造的变化 设备

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