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With a laser interferometric gravitational-wave detector in separate freeflying spacecraft, the only way to achieve detection is to mitigate thedominant noise arising from the frequency fluctuations of the lasers viapostprocessing. The noise can be effectively filtered out on the ground througha specific technique called time-delay interferometry (TDI), which relies onthe measurements of time-delays between spacecraft and careful modeling of howlaser noise enters the interferometric data. Recently, this technique has beenrecast into a matrix-based formalism by several authors, offering a differentperspective on TDI, particularly by relating it to principal component analysis(PCA). In this work, we demonstrate that we can cancel laser frequency noise bydirectly applying PCA to a set of shifted data samples, without any priorknowledge of the relationship between single-link measurements and noise, nortime-delays. We show that this fully data-driven algorithm achieves agravitational-wave sensitivity similar to classic TDI.

Model-independent time-delay interferometry based on principal component analysis