标题： SATDI：时延干涉测量的仿真与分析 显示英文标题

标题： SATDI: Simulation and Analysis for Time-Delay Interferometry

摘要： 时延干涉测量（TDI）对于基于空间的引力波（GW）任务至关重要，以有效抑制激光频率噪声并实现目标灵敏度。TDI的原理是合成航天器之间的多个激光链路测量，并创建虚拟等臂干涉仪。此过程混合了仪器噪声并调整了对GW的响应函数，产生由TDI组合表征的数据。提取信号需要在频域中对TDI操作下的GW信号进行建模。在本工作中，我们引入了一个通用框架SATDI，该框架集成了TDI的仿真和分析。仿真旨在实现TDI对仪器噪声和GW信号的影响，研究噪声抑制中的影响因素，并探索不同TDI配置下的GW特征。分析部分专注于开发稳健的算法来对TDI响应进行建模以提取GW并准确确定源参数。LISA被选为代表性的空间任务，以展示我们框架的有效性。我们对包含大质量黑洞双星合并GW信号的数据进行了模拟和分析，检查了第一代和第二代TDI迈克尔逊配置的数据。结果不仅验证了该框架，还说明了不同因素对参数估计的影响。 显示英文摘要

摘要： Time-delay interferometry (TDI) is essential for space-based gravitational wave (GW) missions to effectively suppress laser frequency noise and achieve targeting sensitivity. The principle of the TDI is to synthesize multiple laser link measurements between spacecraft and create virtual equal-arm interferometry. This process blends instrumental noises and tunes the response function to GW, yielding data characterized by TDI combinations. Extracting signals requires modeling GW signals under TDI operations in the frequency domain. In this work, we introduce a versatile framework, SATDI, which integrates simulation and analysis for TDI. The simulation aims to implement TDI to instrumental noises and GW signals, investigate influential factors in noise suppressions, and explore GW characterizations across different TDI configurations. The analysis component focuses on developing robust algorithms for modeling TDI responses to extract GWs and accurately determine source parameters. LISA is selected as the representative space mission to demonstrate the effectiveness of our framework. We simulate and analyze data containing GW signals from massive black hole binary coalescence, examining data from both first-generation and second-generation TDI Michelson configurations. The results not only validate the framework but also illustrate the influence of different factors on parameter estimation.