Construction and Simulation Analysis of Performance Evaluation System for Space-Based Gravitational Wave Detection Constellations
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摘要: 空间引力波探测星座的科学探测效能受仪器噪声、星间链路运行状态、有效观测时长和目标波源特征等因素共同影响,单独采用灵敏度或信噪比指标难以完整表征任务科学能力。针对该问题,本文构建了空间引力波探测星座效能评估系统,围绕仪器性能、运行可用性和科学响应三类指标,建立了动态全链路仿真、有效探测时长评估和信噪比计算等功能模块。基于MATLAB/Simulink平台,以日心轨道太极方案为例开展仿真验证。结果表明,该系统能够输出检验质量残余加速度噪声、光学测量噪声和探测灵敏度等关键指标,并可模拟三星建链与断链重建过程对有效科学观测时长的影响。在此基础上,系统结合典型引力波源特征开展信噪比计算,能够表征银河系致密双星验证源、极端质量比旋近系统和大质量双黑洞系统等不同波源的可见性差异,验证了其用于空间引力波探测任务科学效能评估的可行性,可为探测方案对比、系统指标分解和科学目标满足度分析提供支撑。Abstract: The scientific detection performance of a space-based gravitational wave detection constellation is jointly affected by instrumental noise, inter-satellite link operation, effective observation time, and the characteristics of target gravitational wave sources. A single metric, such as detector sensitivity or signal-to-noise ratio, is insufficient to fully characterize the scientific capability of such a mission under realistic system and operational constraints. To address this issue, this paper develops a performance evaluation system for space-based gravitational wave detection constellations. The system is organized around three categories of evaluation indicators: instrument performance, operational availability, and scientific response. Corresponding functional modules are established, including dynamic full-link simulation, effective detection time assessment, and signal-to-noise ratio calculation. Based on the MATLAB/Simulink platform, the heliocentric Taiji-like mission scheme is selected as a representative case for simulation verification. The results show that the system can obtain key performance quantities, including residual acceleration noise of the test masses, optical metrology system noise, and detector sensitivity. It can also simulate the influence of three-spacecraft link acquisition and link reconstruction after interruption on the effective scientific observation time. Furthermore, by combining the detector sensitivity, effective observation time, and characteristic strains of representative gravitational-wave sources, the system evaluates the signal-to-noise ratios of verification galactic binaries, an extreme mass-ratio inspiral system, and massive black hole binary systems. The obtained results demonstrate that the proposed system can characterize the visibility differences among different types of sources and provide a feasible framework for scientific performance assessment of space-based gravitational wave detection missions. The system can support mission scheme comparison, system-level requirement decomposition, and analysis of the degree to which scientific objectives can be satisfied.
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