A statistical inference approach to time-delay interferometry for gravitational-wave detection

Abstract

The future space-based gravitational wave observatory LISA will consist of a constellation of three spacecraft in a triangular constellation, connected by laser interferometers with 2.5 million-kilometer arms. Among other challenges, the success of the mission strongly depends on the quality of the cancellation of laser frequency noise, whose power lies eight orders of magnitude above the gravitational signal. The standard technique to perform noise removal is time-delay interferometry (TDI). TDI constructs linear combinations of delayed phasemeter measurements tailored to cancel laser noise terms. Previous work has demonstrated the relationship between TDI and principal component analysis (PCA). We build on this idea to develop an extension of TDI based on a model likelihood that directly depends on the phasemeter measurements. Assuming stationary Gaussian noise, we decompose the measurement covariance using PCA in the frequency domain. We obtain a comprehensive and compact framework that we call PCI for "principal component interferometry," and show that it provides an optimal description of the LISA data analysis problem.

arXiv commentMore realistic gravitational-wave source used as a case study. Figures 3-7 modified. Rationale and conclusions unchanged

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Cited by in corpus (14)

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• TDI-infinity: time-delay interferometry without delays
• Bayesian Time Delay Interferometry
• A combinatorial algebraic approach for the modified second-generation time-delay interferometry
• Bayesian Characterisation of Circumbinary Exoplanets with LISA
• Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
• The Varied Avatars of Time-delay Interferometry
• Searching for gravitational-wave bursts with space-borne detectors
• Fully data-driven time-delay interferometry with time-varying delays
• Time delay interferometry with minimal null frequencies
• Observable-based reformulation of time-delay interferometry
• Model-independent time-delay interferometry based on principal component analysis
• Space-based Gravitational Wave Observatories
• The Effect of Mission Duration on LISA Science Objectives