一种新的基于小波理论和B样条函数的测量数据分析方法

A New Method for Measurement Data Analysis Based on Wavelet Theory and B-Spline Function

飞行器测量数据是由不同频率的时间序列迭合起来的信号，据此提出一种新的基于小波理论和B样条函数的分析测量数据的时频联合估计方法。该方法采用Gaussian函数的一阶导数和db8小波进行测量数据随机误差的一次和二次估计，应用三次B样条函数构建测量数据模型，实现了测量数据随机误差统计特性精确描述和系统误差准确估计，从而满足对测量数据高精度的要求。

As spacecraft measurement data consists of mixed data of different sequences with different frequency, this paper proposes a measurement data analysis method based on wavelet theory and B-Spline function. The method uses the first-order derivative of Gaussian function and db8 wavelet to get the coarse and fine estimates of the random error of the measurement data and uses third-order B-Spline function to construct a measurement data model. An accurate representation and accurate estimate of system error are attained for random error statistical properties of the measurement data and they meet high-accuracy requirements.