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Introduction
LISA data processing chain
Applying the Kalman filter to a simple case
The inter-spacecraft measurements
Design a hybrid extended Kalman filter for the entire LISA constellation
Alternative Kalman filter models
Broken laser links and robustness
Optimal filtering for LISA with effective system models
Clock noise and disordered measurements
Octahedron configuration for a displacement noise-canceling gravitational wave detector in space
EMRI data analysis with a phenomenological waveform
Fast detection and automatic parameter estimation of a gravitational wave signal with a novel method
Likelihood transform: making optimization and parameter estimation easier.

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