First-stage LISA Data Processing and Gravitational Wave Data Analysis

Focusing on the technical advancements in space-based gravitational wave detection, this thesis explores the preprocessing of interferometric link data for the Laser Interferometer Space Antenna (LISA). It emphasizes the development of optimal Kalman filters aimed at reducing arm length noise caused by clock discrepancies. By applying increasingly complex filters, the research achieves significant enhancements in estimating key parameters like arm length and clock drift, thereby refining the data processing for LISA's constellation-level outputs.