干涉仪相位差测量标量积累与矢量积累的特性分析与对比

Characteristics Analysis and Contrast between Scalar Accumulation and Vector Accumulation in Interferometer Phase Difference Measurement

通过对干涉仪通道间信号相位差的多次测量求平均来减小测量误差是工程上提高干涉仪测向精度的重要途径之一,在这一过程中有标量积累与矢量积累两种方式。为了分析这两种积累方式的特性,该文在对干涉仪测向模型与相位差形成过程简要介绍之后,基于信号矢量方法获得了相位差的统计特性,并利用推导得到的概率密度分布结果对相位差标量积累与矢量积累进行了详尽对比,不仅揭示了标量积累过程中的门限效应,而且从理论上证明了矢量积累对真实值的无限逼近过程。最后通过仿真验证了理论分析的有效性与正确性。从而为干涉仪工程应用中相位差测量数据的有效处理提供了重要的理论指导。

It is one of the important approaches to improve the direction finding accuracy of interferometer to reduce the measurement error by averaging the signal phase difference between the channels in the interferometer.In this process,there are two methods:scalar accumulation and vector accumulation.In order to analyze on these two methods,after a brief introduction to the direction finding model of interferometer and the formation process of phase difference,the statistical characteristics of phase difference are deduced by using the signal vector method.Then a detailed contrast between scalar accumulation and vector accumulation of phase difference is made by using the probability distribution results derived.This not only reveals the threshold effect in scalar accumulation,but also the infinite approximation process of vector accumulation to the real value is theoretically proved.Finally,the validity and correctness of the theoretical analysis are verified by simulations.It provides an important theoretical guidance on the data processing of interferometer phase difference measurement for engineering application.