A semicoherent resampling method for long-transient gravitational wave searches with applications to subsolar-mass primordial black-hole binaries
Abstract
Resampling removes the modeled phase evolution of a frequency-evolving signal, transforming it into a monochromatic one. We introduce a novel implementation for long-transient gravitational-wave searches that evaluates the Fourier spectrum of the resampled data using a type-I non-uniform fast Fourier transform (NUFFT). This implementation can be up to two orders of magnitude faster than some previous implementations, depending on coherent length, sampling rate, and desired accuracy. To demonstrate its application, we benchmark the method with a semicoherent search for long-duration inspiral signals from subsolar-mass primordial black hole binaries. For a search over $40−−60\,\mathrm{Hz}$ and chirp masses of 5×10−4--10−1 M⊙, with a coherent duration of 30 s and a realistic computing cost, the estimated horizon distance exceeds the Galactic Center for all of the parameter space considered and exceeds Andromeda for chirp masses above approximately 2×10−2M⊙. These results establish NUFFT-based resampling as a computationally efficient and broadly applicable approach for searches for modeled, frequency-evolving gravitational-wave signals.
Related
- Large primordial non-Gaussianity from transient turns in Higgs-R2 inflation
- Gravitational wave signals from primordial black holes orbiting solar-type stars
- Reduced Gravitational Wave Signal Reopens the Ultralight Primordial Black Hole Window
- Neutron Star--Primordial Black Hole Binaries: Dynamical Tides, Resonance Locking, and Gravitational Waves
- All Dark Matter as Primordial Black Holes: a Gravitational-Wave Test
BibTeX
@misc{lu2026semicoherent,
title = {{A semicoherent resampling method for long-transient gravitational wave searches with applications to subsolar-mass primordial black-hole binaries}},
author = {Neil Lu and Cristiano Palomba and Ornella J. Piccinni and Ling Sun},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12476},
eprint = {2609.12476},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12476},
}
RIS
TY - UNPB
TI - A semicoherent resampling method for long-transient gravitational wave searches with applications to subsolar-mass primordial black-hole binaries
AU - Neil Lu
AU - Cristiano Palomba
AU - Ornella J. Piccinni
AU - Ling Sun
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12476
UR - https://arxiv.org/abs/2609.12476
AB - Resampling removes the modeled phase evolution of a frequency-evolving signal, transforming it into a monochromatic one. We introduce a novel implementation for long-transient gravitational-wave searches that evaluates the Fourier spectrum of the resampled data using a type-I non-uniform fast Fourier transform (NUFFT). This implementation can be up to two orders of magnitude faster than some previous implementations, depending on coherent length, sampling rate, and desired accuracy. To demonstrate its application, we benchmark the method with a semicoherent search for long-duration inspiral signals from subsolar-mass primordial black hole binaries. For a search over $40−−60\,\mathrm{Hz}$ and chirp masses of 5×10^−4--10^−1 M_⊙, with a coherent duration of 30 s and a realistic computing cost, the estimated horizon distance exceeds the Galactic Center for all of the parameter space considered and exceeds Andromeda for chirp masses above approximately 2×10^−2M_⊙. These results establish NUFFT-based resampling as a computationally efficient and broadly applicable approach for searches for modeled, frequency-evolving gravitational-wave signals.
ER -