Cramer-Rao bound expressions for parametric estimation of overlapping peaks: Influence of prior knowledge
Cramer-Rao bound expressions for parametric estimation of overlapping peaks: Influence of prior knowledge
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DOI：
10.1006/jmre.1999.2002
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发表时间：
2000-04-01
影响因子：
2.2
通讯作者：
Graveron-Demilly, D
中科院分区：
文献类型：
--
作者：
Cavassila, S;Deval, S;Graveron-Demilly, D
我们导出了噪声中单峰、双峰和三重峰光谱参数的 Cramer-Rao 下界的解析表达式，我们考虑了指数阻尼（洛伦兹线形）和高斯白噪声。为了代数方便，在时域中导出了在使用足够多的样本时有效的表达式。它们使人们能够根据光谱和实验参数来判断任何无偏估计器的精度，这对于定量目标和实验设计非常有用。通过分析和数值证明了约束（化学先验知识）对双峰和三峰参数的影响，并显示了定量的固有优势。我们的表达式还可以分析包含许多峰的光谱。 (C) 2000 年学术出版社。
We have derived analytical expressions of the Cramer-Rao lower bounds on spectral parameters for singlet, doublet, and triplet peaks in noise, We considered exponential damping (Lorentzian lineshape) and white Gaussian noise, The expressions, valid if a sufficiently large number of samples is used, were derived in the time domain for algebraic convenience. They enable one to judge the precision of any unbiased estimator as a function of the spectral and experimental parameters, which is useful for quantitation objectives and experimental design. The influence of constraints (chemical prior knowledge) on parameters of the peaks of doublets and triplets is demonstrated both analytically and numerically and the inherent benefits for quantitation are shown. Our expressions also enable analysis of spectra comprising many peaks. (C) 2000 Academic Press.