Abstract The Optical Coherence Velocimeter (OCV) technology is a technique for high-precision displacement and vibration measurement based on the principle of spectral domain optical coherence method. The key of this technology is to realize nanometer or even sub-nanometer measurement by high precision frequency estimation method called as Hanning-window energy centrobaric method (HnWECM). This paper analyses the error transmission process of HnWECM, and proposes a calculation method based on Paserval's theorem to establishes the accuracy theory of HnWECM. It shows that the variance of the estimated frequency using HnWECM is only proportional to the signal-to-noise ratio (SNR) and very close to the Cramer-Rao Lower Bound (CRLB). The estimation performance of HnWECM is verified and compared with other frequency estimation methods by simulation and experimental results. Both the theoretical analysis and simulation results show that the HnWECM has good statistical efficiency and the best anti-noise stability. This paper reveals the reason of chosen HnWECM as the signal processing method of OCV technology and gives its accuracy theory, which will greatly promote the application of OCV technology.

中文翻译：

---

光学相干测速仪Hanning-窗口能量重心法抗噪声频率估计性能

摘要 光学相干测速仪（OCV）技术是一种基于光谱域光学相干法原理的高精度位移和振动测量技术。该技术的关键是通过称为汉宁窗口能量中心压法（HnWECM）的高精度频率估计方法实现纳米甚至亚纳米测量。本文分析了HnWECM的误差传递过程，提出了一种基于Paserval定理的计算方法，建立了HnWECM的精度理论。它表明使用 HnWECM 估计频率的方差仅与信噪比 (SNR) 成正比，并且非常接近 Cramer-Rao 下界 (CRLB)。通过仿真和实验结果验证了 HnWECM 的估计性能并与其他频率估计方法进行了比较。理论分析和仿真结果均表明HnWECM具有良好的统计效率和最佳的抗噪声稳定性。本文揭示了选择HnWECM作为OCV技术信号处理方法的原因，并给出了其精度理论，将极大地促进OCV技术的应用。