Spline Based Search Method For Unmodeled Transient Gravitational Wave Chirps

Abstract

A method is described for the detection and estimation of transient chirp signals that are characterized by smoothly evolving, but otherwise unmodeled, amplitude envelopes and instantaneous frequencies. Such signals are particularly relevant for gravitational wave searches, where they may arise in a wide range of astrophysical scenarios. The method uses splines with continuously adjustable breakpoints to represent the amplitude envelope and instantaneous frequency of a signal, and estimates them from noisy data using penalized least squares and model selection. Simulations based on waveforms spanning a wide morphological range show that the method performs well in a signal-to-noise ratio regime where the time-frequency signature of a signal is highly degraded, thereby extending the coverage of current unmodeled gravitational wave searches to a wider class of signals.

19 pages, 16 figures; Revised version

References in corpus (9)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
• A New Mechanism for Gravitational Wave Emission in Core-Collapse Supernovae
• Gravitational waves from the Papaloizou-Pringle instability in black hole-torus systems
• Long gravitational-wave transients and associated detection strategies for a network of terrestrial interferometers
• Rank deficiency and Tikhonov regularization in the inverse problem for gravitational-wave bursts
• Gravitational wave detection using multiscale chirplets