Inference with finite time series: Observing the gravitational Universe through windows

نویسندگان

چکیده

Time series analysis is ubiquitous in many fields of science including gravitational-wave astronomy, where strain time are analyzed to infer the nature sources, e.g., black holes and neutron stars. It common transient studies apply a tapered window function reduce effects spectral artifacts from sharp edges data segments. We show that conventional fails take into account covariance between frequency bins, which arises for all finite series---no matter choice function. discuss origin this derive framework models correlation induced by demonstrate solution using both simulated Gaussian noise real Advanced LIGO/Advanced Virgo data. effect these correlations similar scale widely studied systematic errors, uncertainty detector calibration power density estimation.

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ژورنال

عنوان ژورنال: Physical review research

سال: 2021

ISSN: ['2643-1564']

DOI: https://doi.org/10.1103/physrevresearch.3.043049