Kolmogorov-Smirnov like test for time-frequency Fourier spectrogram analysis in LISA Pathfinder

被引:0
作者
Ferraioli, Luigi [1 ]
Armano, Michele [2 ]
Audley, Heather [3 ,4 ]
Congedo, Giuseppe [5 ,6 ]
Diepholz, Ingo [3 ,4 ]
Gibert, Ferran [7 ]
Hewitson, Martin [3 ,4 ]
Hueller, Mauro [5 ,6 ]
Karnesis, Nikolaos [7 ]
Korsakova, Natalia [3 ,4 ]
Nofrarias, Miquel [7 ]
Plagnol, Eric [1 ]
Vitale, Stefano [5 ,6 ]
机构
[1] Univ Paris Diderot, CNRS IN2P3, CEA Ifru, APC,Observ Paris,Sorbonne Paris Cite, F-75205 Paris 13, France
[2] European Space Agcy, SRE OD ESAC, Madrid 28692, Spain
[3] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-30167 Hannover, Germany
[4] Leibniz Univ Hannover, D-30167 Hannover, Germany
[5] Univ Trento, I-38123 Povo, Trento, Italy
[6] Ist Nazl Fis Nucl, I-38123 Povo, Trento, Italy
[7] CSIC IEEC, Inst Ciencies Espai, Fac Ciencias, Bellaterra 08193, Spain
关键词
Kolmogorov-Smirnov test; Spectrogram; Noise analysis; Time-frequency map; LISA Pathfinder; Gravitational waves; eLISA; LISA;
D O I
10.1007/s10686-014-9432-z
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A statistical procedure for the analysis of time-frequency noise maps is presented and applied to LISA Pathfinder mission synthetic data. The procedure is based on the Kolmogorov-Smirnov like test that is applied to the analysis of time-frequency noise maps produced with the spectrogram technique. The influence of the finite size windowing on the statistic of the test is calculated with a Monte Carlo simulation for 4 different windows type. Such calculation demonstrate that the test statistic is modified by the correlations introduced in the spectrum by the finite size of the window and by the correlations between different time bins originated by overlapping between windowed segments. The application of the test procedure to LISA Pathfinder data demonstrates the test capability of detecting non-stationary features in a noise time series that is simulating low frequency non-stationary noise in the system.
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页码:1 / 10
页数:10
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