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首页> 外文期刊>Journal of biomedical optics >Determination of uncertainty in parameters extracted from single spectroscopic measurements
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Determination of uncertainty in parameters extracted from single spectroscopic measurements

机译：确定从单光谱测量中提取的参数的不确定性

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摘要

The ability to quantify uncertainty in information extracted from spectroscopic measurements is important in numerous fields. The traditional approach of repetitive measurements may be impractical or impossible in some measurements scenarios, while chi-squared analysis does not provide insight into the sources of uncertainty. As such, a need exists for analytical expressions for estimating uncertainty and, by extension, minimum detectable concentrations or diagnostic parameters, that can be applied to a single noisy measurement. This work builds on established concepts from estimation theory, such as the Cramer-Rao lower bound on estimator covariance, to present an analytical formula for estimating uncertainty expressed as a simple function of measurement noise, signal strength, and spectral overlap. This formalism can be used to evaluate and improve instrument performance, particularly important for rapid-acquisition biomedical spectroscopy systems. We demonstrate the experimental utility of this expression in assessing concentration uncertainties from spectral measurements of aqueous solutions and diagnostic parameter uncertainties extracted from spectral measurements of human artery tissue. The measured uncertainty, calculated from many independent measurements, is found to be in good agreement with the analytical formula applied to a single spectrum. These results are intended to encourage the widespread use of uncertainty analysis in the biomedical Optics community.
机译：量化从光谱测量中提取的信息中的不确定性的能力在许多领域都很重要。在某些测量场景中，传统的重复测量方法可能不切实际或无法实现，而卡方分析无法提供对不确定性来源的深入了解。因此，需要一种分析表达式来估计不确定性，并由此扩展到可应用于单个噪声测量的最小可检测浓度或诊断参数。这项工作建立在估计理论的既定概念（例如估计器协方差的Cramer-Rao下限）的基础上，提出了一种估计不确定性的解析公式，表示为测量噪声，信号强度和频谱重叠的简单函数。这种形式主义可用于评估和改善仪器性能，这对于快速采集生物医学光谱系统尤为重要。我们证明了该表达式在评估水溶液光谱测量的浓度不确定性和从人体动脉组织光谱测量中提取的诊断参数不确定性的实验效用。通过多次独立测量计算得出的测量不确定度与应用于单个光谱的分析公式非常吻合。这些结果旨在鼓励在生物医学光学界广泛使用不确定性分析。

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