Novel directed search strategy to detect continuous gravitational waves from neutron stars in low- and high-eccentricity binary systems

We describe a novel, very fast and robust, directed search incoherent method (which means that the phase information is lost) for periodic gravitational waves from neutron stars in binary systems. As a directed search, we assume the source sky position to be known with enough accuracy, but all other parameters (including orbital ones) are supposed to be unknown. We exploit the frequency modulation due to source orbital motion to unveil the signal signature by commencing from a collection of time and frequency peaks (the so-called "peakmap"). We validate our algorithm (pipeline), adding 131 artificial continuous-wave signals from pulsars in binary systems to simulated detector Gaussian noise, characterized by a power spectral density Sh=4×10-24 Hz-1/2 in the frequency interval [70, 200] Hz, which is overall commensurate with the advanced detector design sensitivities. The pipeline detected 128 signals, and the weakest signal injected (added) and detected has a gravitational-wave strain amplitude of ∼10-24, assuming one month of gapless data collected by a single advanced detector. We also provide sensitivity estimations, which show that, for a single-detector data covering one month of observation time, depending on the source orbital Doppler modulation, we can detect signals with an amplitude of ∼7×10-25. By using three detectors, and one year of data, we would easily gain a factor 3 in sensitivity, translating into being able to detect weaker signals. We also discuss the parameter estimate proficiency of our method, as well as computational budget: sifting one month of single-detector data and 131 Hz-wide frequency range takes roughly 2.4 CPU hours. Hence, the current procedure can be readily applied in ally-sky schemes, sieving in parallel as many sky positions as permitted by the available computational power. Finally, we introduce (ongoing and future) approaches to attain sensitivity improvements and better accuracy on parameter estimates in view of the use on real advanced detector data. © 2017 American Physical Society.