空间飞行器的指向误差混合分布模型

doi:10.16183/j.cnki.jsjtu.2022.138

摘要/Abstract

摘要：

在空间探测任务中,飞行器会受到机械冲击、跟踪噪声等因素的影响发生角微振动,使天线指向误差恒不为0,从而影响通信链路.针对典型的指向误差单一分布模型如高斯分布、瑞利分布和莱斯分布忽略多种误差源共同影响的缺点,提出指向误差混合分布模型,将多种误差源同时考虑在内,极大地提高了模型的准确性.首先,根据多个空间飞行器奥林巴斯通信卫星 OLYMPUS、工程测试卫星ETS-VI、光学轨道间通信工程试验卫星OICETS和量子科学实验卫星MICIUS角微振动信号的功率谱密度拟合指向误差信号.然后,对比单一分布模型和混合分布模型与指向误差拟合信号的确定系数R²,确定最优分布模型.结果表明:由高斯分布和莱斯分布组成的混合分布模型拟合度最高.以OLYMPUS飞行器为例,高斯-莱斯混合分布模型的拟合度比单一分布模型中的瑞利模型提高27.44%,误比特率偏差降低2.87 dB.

关键词: 空间飞行器角微振动, 指向误差模型, 单一分布, 混合分布

Abstract:

In the space exploration mission, the aircraft will be affected by mechanical shocks, tracking noise and other factors to cause angular micro-vibration, so that the antenna pointing error is always non-zero, which will affect the communication link. Aimed at the disadvantage that typical single distribution models of pointing error such as Gaussian distribution, Rayleigh distribution and Rice distribution ignore the common impact of multiple error sources, a mixed distribution model of pointing error is proposed, which takes multiple error sources into account at the same time, and greatly improves the accuracy of the model. First, the pointing error signal is fitted according to the power spectral density of angular micro vibration signals of multiple spacecraft OLYMPUS, ETS-VI, OICETS and MICIUS. Then, the optimal distribution model is determined by comparing the determination coefficient R² of the single distribution model and the mixed distribution model with the fitting signal of pointing error. The results show that the mixed distribution model composed of Gaussian distribution and Rice distribution has the highest fitting degree. Taking the Olympus aircraft as an example, the fitting degree of the Gaussian-Rice mixed distribution model is 27.44% higher than that of the single distribution model Rayleigh model, and the bit error rate deviation is reduced by 2.87 dB.

Key words: aircraft angular micro-vibration, pointing error model, single distribution, mixed distribution

中图分类号:

TN927

曹冬平, 井庆丰, 仲伟志. 空间飞行器的指向误差混合分布模型[J]. 上海交通大学学报, 2024, 58(4): 449-460.

CAO Dongping, JING Qingfeng, ZHONG Weizhi. A Mixed Distribution Model of Pointing Error of Aircraft[J]. Journal of Shanghai Jiao Tong University, 2024, 58(4): 449-460.

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飞行器	指向误差RMS/μrad	f₀/Hz	α	β	1 Hz处衰减/dB	100 Hz处衰减/dB	1000 Hz处衰减/dB
OLYMPUS	16.0^[14]	1	2	160	3	40	60
ETS-VI	48.9^[15]	10	2	160	3	20	40
OICETS	43.8^[13]	0.1	4	5000	40	120	160
MICIUS	9.3^[16]	1	2	10	3	40	40

飞行器	已知模型RMS/μrad	仿真模型RMS/μrad
OLYMPUS	16.0^[14]	15.94
ETS-VI	48.9^[15]	48.91
OICETS	43.8^[13]	43.93
MICIUS	9.3^[10]	9.25

飞行器	σ/μrad	μ/μrad
OLYMPUS	14.1	18.7
ETS-VI	43.5	55.4
OICETS	61.2	78.0
MICIUS	8.9	9.2

飞行器	高斯∶莱斯	高斯∶瑞利	瑞利∶莱斯
OLYMPUS	0.64∶0.36	0.89∶0.11	0.27∶0.73
ETS-VI	0.88∶0.12	0.90∶0.10	0.98∶0.02
OICETS	0.91∶0.09	0.92∶0.08	0.93∶0.07
MICIUS	0.82∶0.18	0.94∶0.06	0.02∶0.98

模型	OLYMPUS	ETS-VI	OICETS	MICIUS
高斯	0.8542	0.8343	0.6843	0.8025
瑞利	0.6821	0.5791	0.5087	0.6686
莱斯	0.6820	0.5782	0.5083	0.6679
高斯-高斯	0.9281	0.9073	0.878	0.956
高斯-瑞利	0.9431	0.9797	0.9795	0.9696
高斯-莱斯	0.9565	0.9911	0.9851	0.9776
瑞利-莱斯	0.4775	0.3734	0.2668	0.3656