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首页> 外文会议>Radioelektronika (RADIOELEKTRONIKA), 2012 22nd International Conference >Analysis of higher-order electrical circuits with noisy sources via stochastic differential equations approach
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Analysis of higher-order electrical circuits with noisy sources via stochastic differential equations approach

机译：通过随机微分方程方法分析带噪声源的高阶电路

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摘要

The paper presents an unconventional technique for the analysis of higher-order electrical circuits excited from the sources with randomly varying voltages based on the stochastic differential equations (SDE) approach. The voltage and current responses of the electrical circuits are computed and represented in the form of mean values with particular confidence intervals to provide an estimate of the results. The method is applied to analyze responses of circuit models of optional orders, consisting of a cascade connection of the RLGC networks. To develop the model equations the state-variable method is used, afterwards a corresponding vector SDE is formulated and a stochastic Euler numerical technique utilized. To verify the results the deterministic responses are also computed by the help of the PSpice simulator or the numerical inversion of Laplace transforms MATLAB® procedure, in both cases removing a random term from the drive source.
机译：本文提出了一种基于随机微分方程（SDE）方法的非常规技术，用于分析由随机变化电压源激发的高阶电路。计算电路的电压和电流响应，并以平均值的形式表示，并具有特定的置信区间，以提供结果的估计值。该方法用于分析由RLGC网络的级联组成的可选阶电路模型的响应。为了发展模型方程，使用状态变量方法，然后制定相应的矢量SDE，并利用随机欧拉数值技术。为了验证结果，还可以借助PSpice模拟器或Laplace transformsMATLAB®过程的数值反演来计算确定性响应，在两种情况下都从驱动源中删除随机项。

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