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Estimation precision of the degree of linear polarization and of the angle of polarization in the presence of different sources of noise

机译：存在不同噪声源时线性极化度和极化角的估计精度

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摘要

We consider imaging systems that measure the three first elements of the Stokes vector and deduce from them the degree of linear polarization and the angle of polarization. They require the acquisition of at least three intensity measurements, but performing more measurements is often thought to improve the estimation precision. We show that if the total acquisition time is fixed, the optimal number of measurements depends on the type of noise that affects the image: the estimation variance increases with the number of measurements N when the noise is additive; it is independent of N in the presence of Poisson shot noise and decreases with N when the angles of the analyzers fluctuate. In general, the optimal number of measurements results from a compromise on the robustness of these different types of perturbations.
机译：我们考虑成像系统，该系统测量斯托克斯矢量的三个前三个元素，并从中推导出线性偏振度和偏振角。它们需要至少采集三个强度测量值，但是通常认为执行更多测量值可以提高估计精度。我们表明，如果总采集时间是固定的，则最佳测量次数取决于影响图像的噪声类型：当添加噪声时，估计方差随测量次数N的增加而增加;在存在泊松散粒噪声的情况下，它与N无关，并且当分析仪的角度波动时，它随N减小。通常，最佳的测量次数来自这些不同类型摄动的鲁棒性的折衷。

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