| 基于Fourier变换的分布参数系统静态检测传感器的部署 |
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| 引用本文： | 吴群妹.基于Fourier变换的分布参数系统静态检测传感器的部署[J].铁道师院学报,2014(3):14-18. |
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| 作者姓名： | 吴群妹 |
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| 作者单位： | 无锡科技职业学院外语与公共教育学院,江苏无锡214000 |
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| 基金项目： | 无锡科技职业学院科技基金项目（RJ13017） |
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| 摘 要： | 针对实际生活或者工程问题中的分布参数系统多个静态检测传感器的部署问题,给出了多元函数Fourier变换、三角网格感知距离、给定区域检测传感器最少数量的三条相关定理。提出了分布参数系统的状态变量的求解方法以及静态检测传感器的部署方案和部署数量的方法。该方法通过求出齐次分布参数系统的状态变量,给出模型参数的先验估计值取定第一个检测传感器部署位置,再根据传感器感知模型三角网格部署方法确定其他检测传感器的部署位置,最后计算出分布参数系统给定区域检测传感器的最少数量。
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| 关 键 词： | Fourier变换 分布参数系统 静态传感器 鲁棒性 |
Static detection sensor deployment of distributed parameter systems based on Fourier transform |
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| WU Qunmei.Static detection sensor deployment of distributed parameter systems based on Fourier transform[J].Journal of Suzhou Railway Teachers College(Natural Science Edition),2014(3):14-18. |
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| Authors: | WU Qunmei |
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| Institution: | WU Qunmei (School of Foreign Language and Public Education,Wuxi Technology and Professional College,Wuxi 214000, China) |
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| Abstract: | This article has given three theorems： the Fourier transform of multivariate function, triangular mesh perception distance and the minimum number of detection sensors for a given area. They are aimed at multiple static detection sensor deployment issues of distributed parameter systems in real life or projects. Besides, this paper provides the method for calculating the state variables of the distributed parameter systems, and the static detection sensor deployment plans and numbers. First, a priori estimate of model parameters was given to locate the first detection sensor deployment by calculating the state variables of homogeneous distributed parameter systems. Then, the other detection sensor deployment locations were determined according to the triangular mesh deployment of sensor perception models. Finally, the minimum number of detection sensors for a given area was calculated for distributed parameter systems. |
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| Keywords: | Fourier transform distributed parameter systems static sensor robustness |
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