Errors in fixed and moving frame of references - Applications for conventional and Doppler radar analysis
Errors in fixed and moving frame of references - Applications for conventional and Doppler radar analysis
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固定和移动参考系中的误差 - 传统和多普勒雷达分析的应用
DOI：
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发表时间：
1982
期刊：
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通讯作者：
T. Gal
中科院分区：
文献类型：
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作者：
T. Gal
摘要：本文研究了单台和多台常规雷达和多普勒雷达对平流效应的估计和校正方法。在标量或笛卡尔矢量的情况下，该方法的本质是找到一个移动的参照系，其中（在最小二乘意义上）观测值尽可能平稳。结果表明，这与传统的相关技术有很大的不同。在非笛卡尔矢量的情况下（例如，多普勒雷达的径向速度），导出了非常不同的标准。对于单个多普勒雷达，我们寻找一个参考坐标系，其中∫[∂2/∂t2(vrr)]2是最小值。这里vr是径向速度，t是时间，r是观测点到雷达的距离。在多普勒情况下，表明在以平流速度运动的参照系中，∫[∂/∂t(vr(1)r(1))−∂/∂t(vr(2)r(2))]2是最小值。其中上标(1)、(2)分别表示雷达(1)、(2)。对于标量（如雷达反射率）…
Abstract Procedures for the estimation and correction of advection effects with single and multiple conventional and Doppler radars are developed. In the case of scalars or Cartesian vectors, the essence of the method is finding a moving frame of reference where (in the least-square sense) the observations are as stationary as possible. It is shown that this is quite different from the more traditional correlation techniques. In the case of non-Cartesian vectors (e.g., radial velocities from Doppler radars), very different criteria are derived. For a single Doppler radar, we look for a frame of reference where ∫[∂2/∂t2(vrr)]2 is a minimum. Here vr is the radial velocity, t is time and r is the distance of the observed point from the radar. In the multiple Doppler case, it is shown that in a frame of reference moving with the advection speed, ∫[∂/∂t(vr(1)r(1)) − ∂/∂t(vr(2)r(2))]2is a minimum. Here superscripts (1) and (2) refer to radars (1) and (2), respectively. For scalars (such as radar reflectivities)...