The bounce hardness index of gravitational waves

TL;DR

This paper introduces a new mode analysis method for gravitational wave signals, providing high-precision frequency evolution data and identifying a 'bounce hardness' index that characterizes signal growth rates.

Contribution

It presents a novel mode analysis technique that enhances frequency evolution detection and introduces the bounce hardness index for gravitational wave signals.

Findings

The method accurately captures frequency evolution in gravitational wave signals.

The bounce hardness index correlates with signal growth rates.

Application to inspiral and burst signals demonstrates effectiveness.

Abstract

We present a method of mode analysis to search for signals with frequency evolution and limited duration in a given data stream. Our method is a natural expansion of the Fourier analysis, and we can obtain the information about frequency evolution with high frequency precision and high time resolution. Applications of this method to the analysis of inspiral and burst signals show that the signals are characterized by an index which we name `bounce hardness'. The index corresponds to the growth rate of the signals.