REVIEW 9 cited by
Constraint Likelihood analysis for a network of gravitational wave detectors
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Constraint Likelihood analysis for a network of gravitational wave detectors
read the original abstract
We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard approach, the global maximum of the likelihood over the space of waveforms is used as the detection statistic. We identify a problem with this approach. In the case of an aligned pair of detectors, the detection statistic depends on the cross-correlation between the detectors as expected, but this dependence dissappears even for infinitesimally small misalignments. We solve the problem by applying constraints on thelikelihood functional and obtain a new class of statistics. The resulting method can be applied to the data from a network consisting of any number of detectors with arbitrary detector orientations. The method allows us reconstruction of the source coordinates and the waveforms of two polarization components of a gravitational wave. We study the performance of the method with numerical simulation and find the reconstruction of the source coordinates to be more accurate than in the standard approach.
Forward citations
Cited by 9 Pith papers
-
GW240925 and GW250207: Astrophysical Calibration of Gravitational-wave Detectors
The first informative astrophysical calibration of gravitational-wave detectors is reported using GW240925 and GW250207.
-
Non-stationary noise in gravitational wave analyses: The wavelet domain noise covariance matrix
For slowly varying detector noise, the Wilson-Daubechies-Meyer wavelet noise covariance matrix is approximately diagonal, with off-diagonal terms controlled by the time and frequency derivatives of the dynamic spectral model.
-
GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
LIGO and Virgo detected 39 compact binary coalescence events in O3a, including 13 new ones, with black hole binaries up to 150 solar masses and the first significantly asymmetric mass ratios.
-
Precision Ringdown Measurements of Binary Black Hole Remnants
A ringdown analysis of 16 GWTC-3 binary black holes using cWB-reconstructed signals finds the dominant (2,2,0) mode consistent with GR: δf220 = 0.003±0.028 and δτ220 = 0.050^{+0.081}_{-0.086} (90% CI).
-
An explicit and differentiable Wilson-Daubechies-Meyer transform for gravitational-wave data analysis
An explicit, GPU-ready WDM wavelet-packet package reproduces frequency-domain LISA galactic-binary posteriors under stationary noise and documents the full discrete construction.
-
GWTC-2.1: Deep Extended Catalog of Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
GWTC-2.1 adds eight new high-significance compact binary coalescence events to the prior catalog, extending the observed black hole mass range and including candidates inside the pair-instability mass gap.
-
The WDM Time-Frequency Transform in Gravitational-Wave Data Analysis I: Formalism
Derives and documents the WDM basis properties, forward/inverse transforms, and time-frequency likelihood for gravitational-wave data analysis.
-
The WDM Time-Frequency Transform in Gravitational-Wave Data Analysis I: Formalism
A self-contained formalism for the WDM time-frequency basis in gravitational-wave analysis, including transforms, localization, edge effects, and the time-frequency noise likelihood.
-
An explicit and differentiable Wilson-Daubechies-Meyer transform for gravitational-wave data analysis
Open-source WDM transform package with JAX support and numerical validation of equivalence to frequency-domain likelihoods for a LISA binary under stationary noise.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.