Extracting the Useful Signal from Highly Noised Background
Julian I. Burov, Svetoslav Tsvetkov, Shteryo Dzhimov · AIP conference proceedings · 2007
The paper stresses on some algorithms proposed by authors for the digital processing of the measured or simulated data from the Laser Gravitational Observatories (LGO) as a part of the last effort to reach the sensitivity for detection of the Gravitational waves. We consider the noise N as a random signal with known statistical properties of amplitude, distribution and spectral density. The useful signal S is with unknown, but constant or slowly changed frequency and phase. One of the algorithms shows that S/N ratio can increase without restriction proportionally to the processing time free of digital aliasing with accuracy of frequencies of 0.001 Hz. The Matlab program was entirely used for investigation and testing the proposed algorithms. The possible software and hardware optimization is discussed as well.