A method for detection of known sources of continuous gravitational wave signals in non-stationary data

A method for searching continuous gravitational wave signals from isolated neutron stars whose position, frequency and frequency evolution are known is described in this paper. This method is applied to data of interferometric detectors such as Virgo. The method is based on the use of 5-vectors, which are the Fourier components of the signal and data at five frequencies around the source intrinsic frequency. The main characteristics of the method are its simplicity and the strong reduction of the computing time needed for the analysis and in particular for all the simulation procedures. We also introduce here the concept of ‘coherence’ to state the reliability of a detection.