Abstract

Using the same extremely noised data, two correlation methods for finding the maxima of Brillouin spectra are compared. The first method is a well-known method of correlating the received signal with the ideal Lorentzian function. In the second method, developed by the authors earlier, instead of the Lorentzian function, the same spectrum under study, but inverted along the frequency axis, is used (Backward correlation method, BWC). In addition to evaluating the accuracy of both methods, they are compared with the classical method of Lorentzian curve fitting. The accuracy of the considered methods is estimated depending on the probability of artefacts appearing in the Brillouin scattering spectra. It is shown that when the 9% probability of the artifact occurrence is exceeded, the BWC method shows better results than the other methods considered.

中文翻译：

---

各种相关方法对极端噪声频谱中布里渊频移确定精度的比较分析

摘要

使用相同的噪声极大的数据，比较了寻找布里渊谱最大值的两种相关方法。第一种方法是众所周知的将接收信号与理想洛伦兹函数相关的方法。在作者早些时候开发的第二种方法中，使用了正在研究的相同频谱，但沿频率轴反转，而不是洛伦兹函数（反向相关方法，BWC）。除了评估两种方法的准确性外，还与经典的洛伦兹曲线拟合方法进行了比较。所考虑方法的准确性是根据布里渊散射光谱中出现人工制品的概率来估计的。结果表明，当超过 9% 的伪影发生概率时，BWC 方法比其他考虑的方法显示出更好的结果。