Quadratic Backward Propagation of Variance for Nonlinear Statistical Circuit Modeling
Quadratic Backward Propagation of Variance for Nonlinear Statistical Circuit Modeling
复制标题
非线性统计电路建模的方差二次向后传播
DOI：
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复制
发表时间：
2009
影响因子：
2.9
通讯作者：
C. McAndrew
中科院分区：
文献类型：
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作者：
I. Stevanovic;C. McAndrew
精确的统计建模和仿真是确保集成电路（IC）在集成电路制造技术中固有的随机变化中满足规格的关键。方差反向传播（BPV）是半导体器件统计建模的一种通用技术。然而，BPV方法假设统计波动不大，因此设备电气性能的变化可以建模为工艺参数的线性函数。随着技术规模的扩大，设备性能变化与制造变化之间的关系变得非线性。在本文中，我们扩展了BPV技术来考虑这些非线性。我们介绍了该技术背后的理论，并将其应用于具体的例子。我们还研究了几种可能的求解算法的有效性。
Accurate statistical modeling and simulation are keys to ensure that integrated circuits (ICs) meet the specifications over the stochastic variations that are inherent in IC manufacturing technologies. Backward propagation of variance (BPV) is a general technique for statistical modeling of semiconductor devices. However, the BPV approach assumes that statistical fluctuations are not large so that variations in device electrical performances can be modeled as linear functions of process parameters. With technology scaling, device performance variability over manufacturing variations becomes nonlinear. In this paper, we extend the BPV technique to take into account these nonlinearities. We present the theory behind the technique and apply it to specific examples. We also investigate the effectiveness of several possible solution algorithms.