Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities

Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities

We analyze the signal processing required for the optimal detection of a stochastic background of gravitational radiation using laser interferometric detectors. Starting with basic assumptions about the statistical properties of a stochastic gravity-wave background, we derive expressions for the optimal filter function and signal-to-noise ratio for the cross-correlation of the outputs of two gr...

Detecting a Non-gaussian Stochastic Background of Gravitational Radiation

Consider a large collection of similar gravitational wave sources. If we cannot resolve the individual signals produced by these sources and know only their statistical properties, the signals form a stochastic background. We group stochastic backgrounds into the following two classes: those for which the individual sources have (i) average redshift z ≫ 1 and (ii) average redshift z ∼ 1. Typica...

Detecting a stochastic background of scalar gravitational waves with LIGO

With the “bouncing photon” treatment, the gauge invariance of the response function of interferometers to scalar gravitational waves (SGWs) has been recently demonstrated in its full frequency dependence in three different gauges well known in literature, while in previous works such invariance was only proved in the low frequencies approximation. After a review of scalar tensor theories of gra...

Detecting a Stochastic Gravitational-Wave Background: The Overlap Reduction Function

Detecting the Cosmological Stochastic Background of Gravitational Waves with FastICA

We show that the stochastic background of gravitational waves, produced in the early cosmological epochs, strictly depends on the assumed theory of gravity. In particular, the specific form of the function f(R), where R is the Ricci scalar, is related to the evolution and the production mechanism of gravitational waves. Using a neural network algorithm which only requires non-Gaussian nature an...