Frequency domain diagnostics for linear smoothers
Frequency domain diagnostics for linear smoothers
复制标题
线性平滑器的频域诊断
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
D. Chelton
中科院分区：
文献类型：
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作者：
M. Schlax;D. Chelton
摘要 频域分析用于检查线性平滑器对空间和/或时间随机场实现的估计。估计值以因变量和平滑权重的傅里叶变换表示。后者被称为等效传递函数。数据不需要均匀分布即可执行此分析。等效传递函数的模表征了估计的频谱内容，并且可以揭示设计的微妙采样特性。频域偏差计算对于比较不同的平滑器和评估数据集的分辨率能力非常有用。这些方法用于比较六个一维平滑器，并使用卫星高度计的数据分析复杂的三维示例。
Abstract Frequency domain analysis is used to examine estimates from linear smoothers operating on realizations of random fields over space and/or time. The estimates are expressed in terms of the Fourier transforms of the dependent variable and of the smoother weights. The latter is referred to as the equivalent transfer function. The data do not need to be evenly spaced to perform this analysis. The modulus of the equivalent transfer function characterizes the spectral content of an estimate and may reveal subtle sampling properties of the design. Frequency domain bias calculations are useful for comparing different smoothers and for assessing the resolution capabilities of a data set. These methods are used to compare six one-dimensional smoothers and analyze a complex three-dimensional example using data from a satellite altimeter.