First-stage LISA Data Processing and Gravitational Wave Data Analysis

Focusing on space-based gravitational wave detectors, this thesis explores the preprocessing of interferometric link data for the Laser Interferometer Space Antenna (LISA). It emphasizes the development of optimal Kalman filters to minimize arm length noise caused by clock noise. By applying increasingly complex Kalman filters, the research achieves significant improvements in estimating key parameters like constellation arm length and Doppler frequencies, enhancing the precision of constellation-level data processing beyond previous methods.