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The 5-vector method is one of the main pipeline used by the LIGO-Virgo-KAGRACollaboration for the analysis of continuous gravitational waves (CWs). Thismethod is a matched filter in the frequency domain based on the splitting infive frequencies of the expected gravitational wave frequency due to the Earthsidereal motion. The data 5-vector is composed by five components, each definedas the Fourier transform of the data at one of the five frequencies where thesignal power is split. When dealing with a scenario involving $n$ detectors,the standard multidetector extension combines the data 5-vector from eachdetector, resulting in a total of $5n$ components. In this letter, we introducea novel multidetector extension that goes beyond the standard approach. Ittakes into consideration the varying noise levels and observation timesassociated with each detector, offering a more sophisticated and effectiveapproach for CWs analysis.

A weighted multidetector extension to the 5-vector method for the search of continuous gravitational wave signals