Measuring the primordial gravitational wave background in the presence of other stochastic signals
arXiv:2101.02713 · doi:10.1088/1475-7516/2021/05/052
Abstract
Standard methodologies for the extraction of the stochastic gravitational wave background (SGWB) from auto- or cross-correlation of interferometric signals often involve the use of a filter function. The standard optimal filter maximizes the signal-to-noise ratio (SNR) between the total SGWB and the noise. We derive expressions for the optimal filter and SNR in the presence of a target SGWB plus other unwanted components. We also generalize the methodology to the case of template-free reconstruction. The formalism allows to easily perform analyses and forecasts that marginalize over foreground signals, such as the typical background arising from binary coalescence. We demonstrate the methodology with the LISA mission and discuss possible extensions and domains of application.
arXiv comment23 pages, 8 figures. Accepted on JCAP
References in corpus (40)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Laser Interferometer Space Antenna
- GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
- Binary Black Hole Mergers in the first Advanced LIGO Observing Run
- Cosmological Backgrounds of Gravitational Waves
- The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
- Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities
- The construction and use of LISA sensitivity curves
- Cosmic String Production Towards the End of Brane Inflation
- CMB-S4 Science Case, Reference Design, and Project Plan
- Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
- GW150914: Implications for the stochastic gravitational wave background from binary black holes
- Search for the isotropic stochastic background using data from Advanced LIGO's second observing run
- Stochastic Gravitational Wave Backgrounds
- The astrophysical gravitational wave stochastic background
- The Production, Spectrum and Evolution of Cosmic Strings in Brane Inflation
- GW170817: Implications for the Stochastic Gravitational-Wave Background from Compact Binary Coalescences
- LISA for Cosmologists: Calculating the Signal-to-Noise Ratio for Stochastic and Deterministic Sources
- Constraints on cosmic strings using data from the first Advanced LIGO observing run
- Gravitational Waves from Core Collapse Supernovae
- Galactic binary science with the new LISA design
- Improved reconstruction of a stochastic gravitational wave background with LISA
- New constraints on primordial gravitational waves from Planck 2015
- Detecting a Stochastic Gravitational Wave Background in the presence of a Galactic Foreground and Instrument Noise
- Stochastic Gravitational Wave Background from Cosmological Supernovae
- Stochastic background of gravitational waves generated by a cosmological population of young, rapidly rotating neutron stars
- The stochastic gravity-wave background: sources and detection
- Measuring the spectrum of primordial gravitational waves with CMB, PTA and Laser Interferometers
- Cosmic Strings
- Foreground cleaning and template-free stochastic background extraction for LISA
- Measuring Parity Violation in the Stochastic Gravitational Wave Background with the LISA-Taiji network
- Non-sky-averaged sensitivity curves for space-based gravitational-wave observatories
- LISA Sensitivity to Gravitational Waves from Sound Waves
- Component Separation of a Isotropic Gravitational Wave Background
- Stochastic gravitational wave background from magnetic deformation of newly born magnetars
- Stochastic backgrounds of gravitational waves
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- Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
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- Constraints On Scalar-Induced Gravitational Waves Up To Third Order From Joint Analysis of BBN, CMB, And PTA Data
- Testing the Early Universe with Anisotropies of the Gravitational Wave Background
- Precision cosmology with primordial GW backgrounds in presence of astrophysical foregrounds
- Probing parity-odd bispectra with anisotropies of GW modes
- White dwarf binary modulation can help stochastic gravitational wave background search
- Distinguishing a stochastic gravitational-wave signal from correlated noise with joint parameter estimation: Fisher analysis for ground-based detectors
- Extracting overlapping gravitational-wave signals of galactic compact binaries: a mini review
- Antipodal Angular Correlations of Inflationary Stochastic Gravitational Wave Background