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

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• 作者：Luigi Ferraioli (1) (6)
  Michele Armano (2)
  Heather Audley (3)
  Giuseppe Congedo (4)
  Ingo Diepholz (3)
  Ferran Gibert (5)
  Martin Hewitson (3)
  Mauro Hueller (4)
  Nikolaos Karnesis (5)
  Natalia Korsakova (3)
  Miquel Nofrarias (5)
  Eric Plagnol (1)
  Stefano Vitale (4)
  
  1. APC ; Universit茅 Paris Diderot ; CNRS/IN2P3 ; CEA/Ifru ; Observatoire de Paris ; Sorbonne Paris Cit茅 ; 10 Rue A. Domon et L. Duquet ; 75205 ; Paris Cedex 13 ; France
  6. Institut f眉r Geophysik ; ETH Z眉rich ; Sonneggstrasse 5 ; 8092 ; Z眉rich ; Switzerland
  2. SRE-OD ESAC ; European Space Agency ; Camino bajo del Castillo s/n ; Urbanizaci贸n Villafranca del Castillo ; Villanueva de la Ca帽ada ; 28692 ; Madrid ; Spain
  3. Albert-Einstein-Institut ; Max-Planck-Institut fuer Gravitationsphysik und Universit盲t Hannover ; Callinstr. 38 ; 30167 ; Hannover ; Germany
  4. University of Trento and INFN ; via Sommarive 14 ; 38123 ; Povo (Trento) ; Italy
  5. Facultat de Ci猫ncies ; Institut de Ci猫ncies de l鈥橢spai ; (CSIC-IEEC) ; Campus UAB ; Torre C-5 ; 08193 ; Bellaterra ; Spain
  
• 关键词：Kolmogorov ; Smirnov test ; Spectrogram ; Noise analysis ; Time ; frequency map ; LISA Pathfinder ; Gravitational waves ; eLISA ; LISA
• 刊名：Experimental Astronomy
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：39
• 期：1
• 页码：1-10
• 全文大小：2,099 KB
• 参考文献：1. Feller, W (1948) Ann. Math. Statist. 19: pp. 177 <a class="external" href="http://dx.doi.org/10.1214/aoms/1177730243" target="_blank" title="It opens in new window">CrossRefa>
  2. Congedo, G, Ferraioli, L, Hueller, M, De Marchi, F, Vitale, S, Armano, M, Hewitson, M, Nofrarias, M (2012) Phys. Rev. D 85: pp. 122004 <a class="external" href="http://dx.doi.org/10.1103/PhysRevD.85.122004" target="_blank" title="It opens in new window">CrossRefa>
  3. Antonucci, F (2011) Class. Quantum Gravity 28: pp. 094002 <a class="external" href="http://dx.doi.org/10.1088/0264-9381/28/9/094002" target="_blank" title="It opens in new window">CrossRefa>
  4. Antonucci, F., et al.: Class. Quantum Gravity lass="a-plus-plus">28(9) (2011)
  5. Antonucci, F (2011) Class. Quantum Gravity 28: pp. 094006 <a class="external" href="http://dx.doi.org/10.1088/0264-9381/28/9/094006" target="_blank" title="It opens in new window">CrossRefa>
  6. Armano, M (2009) Class. Quantum Gravity 26: pp. 094001 <a class="external" href="http://dx.doi.org/10.1088/0264-9381/26/9/094001" target="_blank" title="It opens in new window">CrossRefa>
  7. Ferraioli, L, Congedo, G, Hueller, M, Vitale, S, Hewitson, M, Nofrarias, M, Armano, M (2011) Phys. Rev. D 84: pp. 122003 <a class="external" href="http://dx.doi.org/10.1103/PhysRevD.84.122003" target="_blank" title="It opens in new window">CrossRefa>
  8. Percival, DB, Walden, AT (1993) Spectral Analysis for Physical Applications. Cambridge University Press, Cambridge, UK <a class="external" href="http://dx.doi.org/10.1017/CBO9780511622762" target="_blank" title="It opens in new window">CrossRefa>
  9. Harris, F (1978) IEEE Proc. 66: pp. 51 <a class="external" href="http://dx.doi.org/10.1109/PROC.1978.10837" target="_blank" title="It opens in new window">CrossRefa>
  10. NIST/SEMATECH e-Handbook of Statistical Methods, <a href="http://www.itl.nist.gov/div898/handbook/" class="a-plus-plus">http://www.itl.nist.gov/div898/handbook/a> (2013)
  11. Ferraioli, L, Hueller, M, Vitale, S (2009) Class. Quantum Gravity 26: pp. 094013 <a class="external" href="http://dx.doi.org/10.1088/0264-9381/26/9/094013" target="_blank" title="It opens in new window">CrossRefa>
  12. Ferraioli, L, Hueller, M, Vitale, S, Heinzel, G, Hewitson, M, Monsky, A, Nofrarias, M (2010) Phys. Rev. D 82: pp. 042001 <a class="external" href="http://dx.doi.org/10.1103/PhysRevD.82.042001" target="_blank" title="It opens in new window">CrossRefa>
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Statistics for Engineering, Physics, Computer Science, Chemistry and Geosciences
  
• 出版者：Springer Netherlands
• ISSN：1572-9508

文摘

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.