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首页> 外文期刊>Mathematics >POD-Based Constrained Sensor Placement and Field Reconstruction from Noisy Wind Measurements: A Perturbation Study
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POD-Based Constrained Sensor Placement and Field Reconstruction from Noisy Wind Measurements: A Perturbation Study

机译：基于POD的受约束传感器放置和来自嘈杂风测量的场重构：摄动研究

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摘要

It is shown in literature that sensor placement at the extrema of Proper Orthogonal Decomposition (POD) modes is efficient and leads to accurate reconstruction of the field of quantity of interest (velocity, pressure, salinity, etc. ) from a limited number of measurements in the oceanography study. In this paper, we extend this approach of sensor placement and take into account measurement errors and detect possible malfunctioning sensors. We use the 24 hourly spatial wind field simulation data sets simulated using the Weather Research and Forecasting (WRF) model applied to the Maine Bay to evaluate the performances of our methods. Specifically, we use an exclusion disk strategy to distribute sensors when the extrema of POD modes are close. We demonstrate that this strategy can improve the accuracy of the reconstruction of the velocity field. It is also capable of reducing the standard deviation of the reconstruction from noisy measurements. Moreover, by a cross-validation technique, we successfully locate the malfunctioning sensors.
机译：从文献中可以看出，传感器在适当的正交分解（POD）模式的极值处的放置是有效的，并且可以从有限的测量中准确地重建感​​兴趣的量（速度，压力，盐度等）的字段。海洋学研究。在本文中，我们扩展了这种传感器放置方法，并考虑了测量误差并检测可能发生故障的传感器。我们使用应用到缅因州湾的天气研究和预报（WRF）模型模拟​​的24小时空间风场模拟数据集来评估我们方法的性能。具体来说，当POD模式的极值接近时，我们使用排除磁盘策略来分配传感器。我们证明了这种策略可以提高速度场重建的准确性。它还能够减少噪声测量结果的标准偏差。此外，通过交叉验证技术，我们成功定位了故障传感器。

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