利用稀疏性的路径平均降雨量测量的空间降雨制图

Venkat Roy, S. Gishkori, G. Leus
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引用次数: 5

摘要

本文提出了一种利用有限数量的路径平均雨量测量来估计特定服务区域的空间雨量分布的方法。将上述问题表述为一个非负性约束凸优化问题,该问题具有影响空间降雨分布的稀疏性和聚类性的先验。空间协方差矩阵由气候变差模型导出,用于构造空间降雨向量的基础。正确选择与降雨空间特性直接相关的表示基和先验可以保证以低压缩率(较少的测量)进行有效的重建。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spatial rainfall mapping from path-averaged rainfall measurements exploiting sparsity
In this paper, a method for the estimation of the spatial rainfall distribution over a specified service area from a limited number of path-averaged rainfall measurements is proposed. The aforementioned problem is formulated as a nonnegativity constrained convex optimization problem with priors that influence both sparsity and clustering properties of the spatial rainfall distribution. The spatial covariance matrix is derived from the climatological variogram model and used to construct a basis for the spatial rainfall vector. A proper selection of the representation basis and the priors that directly relate to the spatial properties of the rainfall guarantee an efficient reconstruction with a low compression rate (fewer measurements).
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