基于高斯混合模型的光纤罗经误差概率分布建模

针对船用光纤罗经误差的概率分布不完全符合高斯分布的情况, 提出了一种基于高斯混合模型(Gaussian mixture model, GMM)的光纤罗经误差概率分布函数(probability distribution function, PDF)建模方法。该方法使用多个高斯分布的线性叠加来拟合光纤罗经误差的概率分布, 并结合一种鲁棒性的期望最大化(expectation maximization, EM)算法来估计GMM中的参数。仿真分析和实测数据验证, 相比于使用单一的高斯分布, 基于所提方法建立的光纤罗经误差概率分布更加符合该导航设备误差的实际概率分布。

Modeling of error probability distribution of fiber-optic gyrocompass based on Gaussian mixture model

Aiming at the situation that the probability distribution of the fiber-optical gyrocompass error does not conform to the Gaussian distribution, a modeling method of the fiber-optical gyrocompass error probability distribution function (PDF) based on the Gaussian mixture models (GMM) is proposed. The method uses linear superposition of the multiple Gaussian distributions to fit the probability distribution of fiber-optical gyrocompass errors, and combines a robust expectation maximization (EM) algorithm to estimate the parameters in the GMM. Through simulation analysis and verification of the test data, compared with using a single Gaussian distribution, the error probability distribution based on the proposed method is more consistent with the actual probability distribution of the navigation equipment error.