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铁杆木虫 (正式写手)

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[交流] 【讨论】关于 finite resolution 的一些疑惑

最近看了一些文献，接触到 finite resolution 这个概念，查了一下，似乎是源于在测量过程中出现的不确定性而发展出来的一些方法，看了一些文章，但始终不得要领，自己都没法回答究竟该怎么清楚阐明。苦于我对这块背景知识的陌生，要查文献也不知道如何下手，故求助各位。以下是一篇文献的摘要，我粘贴出来，请专业人士帮忙看看：《Uncertainty due to Finite Resolution》
Abstract:
We investigate the influence of finite resolution on measurement uncertainty from a perspective of the Guide to the Expression of Uncertainty in Measurement (GUM). Finite resolution in the presence of Gaussian noise yields a distribution of results that strongly depends on the relative location of the true value to the resolution increment. We show that although there is no simple expression relating the standard deviation of the distribution to the uncertainty at a specified level of confidence, there is an analytic relation between the mean value and the standard deviation. We further investigate the conflict between the GUM and ISO 14253-2 regarding the method of evaluating the standard uncertainty due to finite resolution and show that, on average, the GUM method is superior, but still approximate.

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