# Accelerating gravitational wave parameter estimation with multi-band template interpolation

## TL;DR

This paper introduces a novel method to significantly speed up gravitational wave parameter estimation by using multi-band template interpolation, reducing waveform computation costs while maintaining high accuracy.

## Contribution

The paper presents a multi-band interpolation technique that exploits the chirping nature of signals to accelerate waveform evaluations in gravitational wave analysis.

## Key findings

- Waveform mismatch ≤ 5×10^{-7}
- Waveform generation cost reduced by up to 50 times
- Applicable to low-frequency waveforms below 8 Hz

## Abstract

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low frequency sensitivity in later second and third generation detectors motivates the use of longer waveforms. We describe a method for accelerating parameter estimation by exploiting the chirping behaviour of the signals to sample the waveform sparsely for portions where the full frequency resolution is not required. We demonstrate that the method can reproduce the original results with a waveform mismatch of $\leq 5\times 10^{-7}$, but with a waveform generation cost up to $\sim 50$ times lower for computationally costly frequency-domain waveforms starting from below 8 Hz.