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We present new, original and alternative method for searching signals codedin noisy data. The method is based on the properties of random matrixeigenvalue spectra. First, we describe general ideas and support them withresults of numerical simulations for basic periodic signals immersed inartificial stochastic noise. Then, the main effort is put to examine thestrength of a new method in investigation of data content taken from the realastrophysical NAUTILUS detector, searching for the presence of gravitationalwaves. Our method discovers some previously unknown problems with dataaggregation in this experiment. We provide also the results of new methodapplied to the entire respond signal from ground based detectors in futureexperimental activities with reduced background noise level. We indicate goodperformance of our method what makes it a positive predictor for furtherapplications in many areas.

Random matrix approach in search for weak signals immersed in background noise