Skip to main content

LIGO: Identifying Gravitational Waves

  • Conference paper
Statistical Challenges in Modern Astronomy II

Abstract

We discuss the statistical challenges presented by data from large-scale gravitational-wave interferometers now under construction. Extracting information from signals requires measuring parameters, and sophisticated algorithms may be required to attain maximal possible accuracy. Detecting continuous waves from neutron stars presents many problems, particularly for a survey of the sky, where optimum algorithms are not known.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abramovici, A. et al., Science, 256, 325–333 (1992).

    Article  Google Scholar 

  2. Bradaschia, C. et al., Nucl. Instr. Meth. Phys. A, 289, 518–525 (1990).

    Article  Google Scholar 

  3. Danzmann, K., in Coccia, E., Pizzella, G., Ronga, F.. eds., Gravitational Wave Experiments, (World Scientific. Singapore, 1995). 100–111.

    Google Scholar 

  4. Schutz, B.F., “The Detection of Gravitational Waves”, in Marck, J.-A.. La-sota, J.-P., eds., Astrophysical Sources of Gravitational Radiation. (Springer, Paris, 1996).

    Google Scholar 

  5. Van Trees, H. L., Detection Estimation and Modulation Theory. Part I (John Wiley and Sons Inc., New York, 1968).

    MATH  Google Scholar 

  6. Cramér, H., Mathematical Methods of Statistics. (Princeton University Press, Princeton NJ, 1946).

    MATH  Google Scholar 

  7. Strong, A.W., Astron. Astrophys., 150, 273 (1985).

    Google Scholar 

  8. Tegmark, M., Taylor, A.N., and Heavens, A.F., preprint, astro-ph/9603021 (1996).

    Google Scholar 

  9. Barankin, E.W., Ann. Math. Stat., 20, 477 (1949).

    Article  MathSciNet  MATH  Google Scholar 

  10. Finn, L.S., Phys. Rev. D, 46, 5236 (1992).

    Article  Google Scholar 

  11. Cutler, C. and Flanagan, E.E., Phys. Rev. D., 49, 2658 (1994).

    Article  Google Scholar 

  12. Balasubramanian, R., Sathyaprakash, B.S., and Dhurandhar, S.V., Phys. Rev. D., 53, 3033 (1996).

    Article  Google Scholar 

  13. Pasetti, A., M.Sc Thesis, University of London (1987).

    Google Scholar 

  14. Ziv, J and Zakai, M., IEEE Trans. Info. Theory,IT-15, 386 (1969).

    Article  MathSciNet  Google Scholar 

  15. Weinstein, E. and Weiss, A.J., IEEE Trans. Info. Theory,34, 338 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  16. Bell, K.L., “Performance Bounds in Parameter Estimation with Application to Bearing Estimation”, Ph.D. Thesis, George Mason University, Fairfax, VA. (1995).

    Google Scholar 

  17. Cinlar, E., Introduction to Stochastic Processes, (Prentice Hall, Englewood Cliffs, 1975).

    MATH  Google Scholar 

  18. Nicholson, D. and Vecchio, A., in preparation (1996).

    Google Scholar 

  19. Davis, M.H.A.,“A Review of the Statistical Theory of Signal Detection”, in Schutz, B.F., ed., Gravitational Wave Data Analysis, (Kluwer, Dordrecht, 1989), p. 73–94.

    Chapter  Google Scholar 

  20. B.F. Schutz, “Cosmic sources of gravitational radiation”, Class. Quantum Gray. 10 (1993) 5135–5145.

    Article  Google Scholar 

  21. B.F. Schutz, “Data Processing Analysis and Storage for Interferometric Antennas”, in Blair, D.G. (ed) The Detection of Gravitational Waves, Cambridge University Press, Cambridge United Kingdom (1991) pp. 406–452.

    Chapter  Google Scholar 

  22. Schutz, B.F., “Searching for Gravitational Waves” in Vandoni, C.E., and Verkerk, C., eds., 1993 CERN School of Computing (CERN, Geneva, 1994), 274.

    Google Scholar 

  23. Jones, G.S., PhD thesis (University of Wales Cardiff, 1996).

    Google Scholar 

  24. Bailey, D.H., and Swarztrauber, P.N., Siam Journal on Scientific Computing, 16, 1239 (1995).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this paper

Cite this paper

Schutz, B.F., Nicholson, D. (1997). LIGO: Identifying Gravitational Waves. In: Babu, G.J., Feigelson, E.D. (eds) Statistical Challenges in Modern Astronomy II. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1968-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1968-2_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7360-8

  • Online ISBN: 978-1-4612-1968-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics