# The Adaptive Transient Hough method for long-duration gravitational wave transients

## TL;DR

This paper introduces a semi-coherent method utilizing a weighted Hough transform to detect long-duration gravitational wave transients from newborn neutron stars, accounting for rapid spin-down and amplitude evolution.

## Contribution

It presents a novel adaptive transient Hough method tailored for intermediate-duration gravitational wave signals, with detailed implementation, statistical analysis, and sensitivity estimation.

## Key findings

- Successfully applied to GW170817 post-merger signals
- Verified sensitivity with simulated signals
- Demonstrated effectiveness for signals with rapid spin-down

## Abstract

This paper describes a new semi-coherent method to search for transient gravitational waves of intermediate duration (hours to days). In order to search for newborn isolated neutron stars with their possibly very rapid spin-down, we model the frequency evolution as a power law. The search uses short Fourier transforms from the output of ground-based gravitational wave detectors and applies a weighted Hough transform, also taking into account the signal's amplitude evolution. We present the technical details for implementing the algorithm, its statistical properties, and a sensitivity estimate. A first example application of this method was in the search for GW170817 post-merger signals, and we verify the estimated sensitivity with simulated signals for this case.