编队卫星高数据率星间基线确定的函数逼近精度分析

获取满足精度和数据率要求的星间基线参数是保证编队卫星有效完成任务的关键之一.运用实际测量所得低采样率信息,采用函数逼近方法,从测量数据处理的角度研究了星间基线确定的保精度高数据率插值技术,着重分析了采样率和随机干扰对基线确定精度的影响.理论推导表明高数据率的星间基线确定精度取决于函数逼近误差和测量误差的综合影响.在分析星间基线变化规律的基础上,通过仿真说明就目前可达的测量采样率而言,对于白噪声的情形,测量误差水平较函数逼近误差对于基线确定的影响更为显著.

Function ApproXimation and Precision Analysis of High Data Rate Inter-Satellite Baseline Determination for Formation Flying Satellites

The inter-satellite baseline determination of a certain precision and data rate is a key factor for the realization of formation flying satellites technology. The optimal basis function approximation method was applied to process the measurement data with low sampling rate. The precision-keeping and high-rate interpolation technique for inter-satellite baseline determination was studied by means of measurement data processing. We focused on the analysis of the influences of the sampling rate and the random disturbance on the baseline parameter determination precision. Theoretical derivation illustrates that the precision of high-rate baseline parameters depends on the combined influences of the function approximation error and the measurement error. Simulations were performed based on the analysis of the variation characteristics of the inter-satellite baseline. The results show that the white noise level of the measurement produces more remarkable influence on the baseline determination than the function approximation error based on the currently available sampling rate.