Identification of gravitational wave signals from chaotic astrophysical systems through phase space and attractor properties
Journal Article
·
· Physical Review. D, Particles Fields
- Consiglio Nazionale delle Ricerche-Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze (Italy)
Phase space and attractor dimensions in a gravitational wave detector output can be estimated in order to identify chaotic (deterministic) signals in the presence of additive Gaussian noise. These quantities are evaluated, respectively, by means of conditional probabilities and the Grassberger-Procaccia algorithm, both methods relying on embedding in a suitable space of dimension d. By testing with different embedding dimensions, a deterministic--though erratic--signal can be detected by comparing the corresponding conditional probabilities via Kolmogorov-Smirnoff test and checking whether the correlation (fractal) dimension differs from d. Results of the two approaches are eventually compared, both for chaotic and periodic trajectories.
- OSTI ID:
- 21322423
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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