A digital method of modeling quadratically nonlinear systems with a general random input
A digital method of modeling quadratically nonlinear systems with a general random input
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具有一般随机输入的二次非线性系统建模的数字方法
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
E. Powers
中科院分区：
文献类型：
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作者：
K. Kim;E. Powers
在不假设输入的特定统计量的情况下，提出了一种估计非线性时不变系统的线性和二次传递函数的实用数字方法，该系统可以由高达二阶的 Volterra 级数描述。通过分析已知二次非线性系统的输入输出数据对该方法进行了测试和验证。当对输入统计数据知之甚少或输入是非高斯时使用。还需要注意的是，普通相干函数不能用于解释由非高斯输入信号激励的二次系统的输入输出功率传递关系。针对该方法的实际应用，定性地讨论了传递函数估计中涉及的均方误差与谱估计中的平均次数之间的关系。 >
Without assuming particular statistics of the input, a practical digital method of estimating linear and quadratic transfer functions of a nonlinear time-invariant system that can be described by Volterra series of up to second order is presented. The method is tested and validated by analyzing input-output data of a known quadratically nonlinear system. It is used when there is little knowledge about the input statistics or the input is non-Gaussian. It is also noted that the ordinary coherence functions cannot be used in explaining the input-output power transfer relationship of a quadratic system excited by a non-Gaussian input signal. With respect to the practical application of the method, the relationship between the mean square errors involved in the transfer function estimates and the number of averages taken from the spectral estimation is qualitatively discussed. >