| Volterra系统在平稳正态激励下的离散表示 |
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| 引用本文： | 惠军. Volterra系统在平稳正态激励下的离散表示[J]. 大学数学, 2001, 17(5): 50-53 |
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| 作者姓名： | 惠军 |
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| 作者单位： | 合肥工业大学,理学院,合肥,230009 |
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| 摘 要： | Volterra响应系统是一种十分有用的数学模型 .本文着重讨论了在平稳正态激励下 Volterra响应系统的离散化问题 .即将激励过程 { x(t) ,t∈ [-T,T]}离散化 ,利用 Kac-Siegert的思想 ,以 Neal[1 ] 提出的表示定理为基础 ,直接地给出 Volterra响应系统的离散化的表示形式 .由于它是由激励过程直接地表示响应系统的形式 ,因而在实际计算 Volterra响应时有广泛的实用价值 .
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| 关 键 词： | Volterra响应系统 平稳正态过程 谱函数 离散表示 均方一致收敛 |
| 文章编号： | 1007-4120(2001)05-0050-04 |
| 修稿时间： | 2000-10-25 |
The Discrete Representation of Volterra System Excited by a Stationary Gaussian Process |
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| HUI Jun. The Discrete Representation of Volterra System Excited by a Stationary Gaussian Process[J]. College Mathematics, 2001, 17(5): 50-53 |
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| Authors: | HUI Jun |
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| Abstract: | Volterra system is a useful mathematical model. This paper deals with the discrete representation of Volterra system excited by a stationary Gaussian process. First, the exciting process {x(t),t∈} is discrete representation. Then the theorem that discrete Volterra system excited by a stationary Gaussian process is proved base on the think of Kac-Siegert and Neal's theorem. This discrete representation theorem has practical significance. |
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| Keywords: | Volterra system Gaussian process spectral function discrete representation square mean uniform convergence |
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