A Wavelet-Collocation-Based Trajectory Piecewise-Linear Algorithm for Time-Domain Model-Order Reduction of Nonlinear Circuits
A Wavelet-Collocation-Based Trajectory Piecewise-Linear Algorithm for Time-Domain Model-Order Reduction of Nonlinear Circuits
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基于小波配置的非线性电路时域模型降阶轨迹分段线性算法
DOI：
10.1109/tcsi.2010.2048775
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发表时间：
2010-11
影响因子：
5.1
通讯作者：
Zeng, Xuan
中科院分区：
文献类型：
--
作者：
Zong, Ke;Yang, Fan;Zeng, Xuan
提出了基于轨迹分段线性化的降阶宏观建模方法来表征大型强非线性系统的时域行为。然而，这些方法都依赖于线性系统的频域模型降阶（MOR）方法。因此，降低阶模型在时域上的精度往往无法得到保证和控制。本文提出了一种基于小波配位的轨迹分段线性方法，用于强非线性电路的时域MOR。该方法是在时域内进行的，基于小波配置方法。与频域非线性MOR方法相比，本文提出的时域MOR方法对非线性电路暂态特性的建模精度更高，这对非线性电路的宏观建模和暂态分析具有重要意义。在此基础上，提出了一种非线性小波扩宽技术来控制时域内的建模误差，这有助于在整个时域内平衡整体建模误差，从而在更高层次上提高仿真效率。数值结果表明，该方法在时域上具有较高的宏观建模精度，并且可以通过小波扩展技术有效地控制时域建模误差分布。
Trajectory piecewise-linearization-based reduced- order macromodeling methods have been proposed to characterize the time-domain behaviors of large strongly nonlinear systems. However, all these methods rely on frequency-domain model-order-reduction (MOR) methods for linear systems. Therefore, the accuracy of the reduced-order models in time domain cannot always be guaranteed and controlled. In this paper, a wavelet-collocation-based trajectory piecewise-linear approach is proposed for time-domain MOR of strongly nonlinear circuits. The proposed MOR method is performed in time domain and is based on a wavelet-collocation method. Compared with nonlinear MOR methods in frequency domain, the proposed method in time domain maintains higher accuracy for modeling transient characteristics of nonlinear circuits, which are very important in macromodeling and transient analysis for nonlinear circuits. Furthermore, a nonlinear wavelet companding technique is developed to control the modeling error in time domain, which is useful for balancing the overall modeling error over the whole time region and improving the simulation efficiency at higher level. The numerical results show that the proposed method has high macromodeling accuracy in time domain, and the modeling-error distribution in time domain can be efficiently controlled by the wavelet companding technique.
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DOI：
10.1109/tcsi.2002.804542
发表时间：
2002-12
影响因子：
5.1
作者：
Janet M. Wang;C. Chu;Qingjian Yu;E. Kuh
通讯作者：
Janet M. Wang;C. Chu;Qingjian Yu;E. Kuh
DOI：
10.1063/1.4823126
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期刊：
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影响因子：
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通讯作者：
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DOI：
10.1109/cicc.2000.852706
发表时间：
2000-05
期刊：
Proceedings of the IEEE 2000 Custom Integrated Circuits Conference (Cat. No.00CH37044)
影响因子：
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作者：
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通讯作者：
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DOI：
10.1201/9780203027066.ch5
发表时间：
2003-12
期刊：
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影响因子：
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作者：
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通讯作者：
Chia-Chi Tsui
DOI：
10.1145/775832.775957
发表时间：
2003-06
期刊：
Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451)
影响因子：
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作者：
Ning Dong;J. Roychowdhury
通讯作者：
Ning Dong;J. Roychowdhury