IEEE Trans Ultrason Ferroelectr Freq Control. 2010 Sep;57(9):2091-4. doi: 10.1109/TUFFC.2010.1656.
ThêoBR is a high-confidence statistic that evaluates frequency stability at long τ values. However, for real-world data sets that contain thousands of points or more, the calculation of ThêoBR can take hours, days, or even weeks on a typical PC. To make the calculation of ThêoBR faster for these data sets, a method of averaging points together within the data set is developed. The error introduced by this technique is analyzed and compared with the exact value, and a correction formula is developed to minimize this error for FM noise types. Finally, the technique is applied to real data sets and determines stability at the longest τ values in seconds as opposed to weeks.
ThêoBR 是一种高可信度的统计量，用于评估 τ 值较长时的频率稳定性。然而，对于包含数千个或更多点的实际数据集，在典型的 PC 上计算 ThêoBR 可能需要数小时、数天甚至数周的时间。为了使这些数据集的 ThêoBR 计算更快，开发了一种在数据集中将点平均组合在一起的方法。分析了该技术引入的误差，并与精确值进行了比较，为 FM 噪声类型开发了一个校正公式来最小化该误差。最后，该技术应用于实际数据集，并在几秒钟内确定了 τ 值最长时的稳定性，而不是数周。
