Stochastic Background Noise Analysis

Laser Interferometer Space Antenna (LISA) Data Processing in Julia

Description

Using a 3-week simulated sample from the planned LISA mission, NoiseData.dat, this script analyzses the noise picked up by the detector in the data. Using stochastic analysis, it searches for the noise levels from the gravitational wave background.

The stochastic background can be modelled by S_gw = (3H₀²/4*pi²f³)*Ω_gw, where H₀ is the hubble constant and Ω_gw is the gravitational wave background level.

The expression of noise levels from the gravitational wave background combined with the detector response is XX_gw = 4 * sin²(f/f_star) * LowXX * S_gw.

The script searches over both the gravitational background level and the acceleration noise and position noise from the detector.