LIGO Document T2100266-v2

Semi-coherent searches for continuous gravitational waves, and the N^1/4 law

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LIGO-T2100266-v2
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T - Technical notes
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Abstract:
We revisit the relationship between sensitivity and the number of coherent segments in a semi-coherent search for continuous gravitational wave signals. Using the simplest model, we give a short tutorial on how to set the sensitivity level for such a search, how the sensitivity is degraded as the number of coherent segments (\( N \)) increases and how to compute this factor using standard SciPy functions. Finally we show the origins of the well-known \( N^{1/4} \) law from both a frequentist and Bayesian perspective.
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