International Journal of Navigation and Observation
Volume 2008 (2008), Article ID 863129, 7 pages
doi:10.1155/2008/863129
Research Article

Nonlinear Dynamics of Sea Clutter

Departments of Electrical and Computer Engineering and Mathematics, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4K1, Canada

Received 26 February 2008; Revised 10 June 2008; Accepted 13 September 2008

Academic Editor: M. Greco

Copyright © 2008 Timothy R. Field and Simon Haykin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Haykin, R. Barker, and B. W. Currie, “Uncovering nonlinear dynamics—the case study of sea clutter,” Proceedings of the IEEE, vol. 90, no. 5, pp. 860–881, 2002. View at Publisher · View at Google Scholar
  2. S. Haykin and D. J. Thomson, “Signal detection in a nonstationary environment reformulated as an adaptive pattern classification problem,” Proceedings of the IEEE, vol. 86, no. 11, pp. 2325–2344, 1998. View at Publisher · View at Google Scholar
  3. T. R. Field and R. J. A. Tough, “Diffusion processes in electromagnetic scattering generating K-distributed noise,” Proceedings of the Royal Society A, vol. 459, no. 2037, pp. 2169–2193, 2003. View at Publisher · View at Google Scholar
  4. T. R. Field and R. J. A. Tough, “Stochastic dynamics of the scattering amplitude generating K-distributed noise,” Journal of Mathematical Physics, vol. 44, no. 11, pp. 5212–5223, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  5. S. Haykin, Ed., Adaptive Radar Signal Processing, S. Haykin, Ed., John Wiley & Sons, New York, NY, USA, 2006.
  6. F. Gini and M. Greco, “Texture modeling and validation using recorded high resolution sea clutter data,” in Proceedings of IEEE National Radar Conference (NRC '01), pp. 387–392, Atlanta, Ga, USA, May 2001. View at Publisher · View at Google Scholar
  7. M. Greco and F. Gini, “Sea clutter nonstationarity: the influence of long waves,” in Adaptive Radar Signal Processing, S. Haykin, Ed., pp. 159–191, John Wiley & Sons, New York, NY, USA, 2007.
  8. S. Haykin, Communication Systems, John Wiley & Sons, New York, NY, USA, 4th edition, 2001.
  9. A. Siegel, Nonparametric Statistics for the Behavioral Sciences, McGraw-Hill, New York, NY, USA, 1956.
  10. T. R. Field, “Stochastic differential equations and their application to the characterization of sea clutter,” October 2002, Invited Lectures at Adaptive Systems Laboratory, McMaster University.
  11. T. R. Field and R. J. A. Tough, “Dynamical models of weak scattering,” Journal of Mathematical Physics, vol. 46, no. 1, Article ID 013302, pp. 1–19, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  12. T. R. Field, “Observability of the scattering cross-section through phase decoherence,” Journal of Mathematical Physics, vol. 46, no. 6, Article ID 063305, pp. 1–8, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  13. T. R. Field, Electromagnetic Scattering from Random Media, Oxford International Series of Monographs on Physics, Oxford University Press, Oxford, UK, 2008.
  14. T. Feng, T. R. Field, and S. Haykin, “Stochastic differential equation theory applied to wireless channels,” IEEE Transactions on Communications, vol. 55, no. 8, pp. 1478–1483, 2007. View at Publisher · View at Google Scholar
  15. B. Oksendal, Stochastic Differential Equations: An Introduction with Applications, Springer, New York, NY, USA, 5th edition, 1998.
  16. E. Jakeman, “On the statistics of K-distributed noise,” Journal of Physics A, vol. 13, no. 1, pp. 31–48, 1980. View at Publisher · View at Google Scholar
  17. E. Jakeman and R. J. A. Tough, “Non-Gaussian models for the statistics of scattered waves,” Advances in Physics, vol. 37, no. 5, pp. 471–529, 1988. View at Publisher · View at Google Scholar
  18. M. S. Bartlett, An Introduction to Stochastic Processes, Cambridge University Press, Cambridge, UK, 1966.
  19. H. Risken, The Fokker-Planck Equation, Springer, New York, NY, USA, 2nd edition, 1989.
  20. G. Sugihara, “Nonlinear forecasting for the classification of natural time series,” Philosophical Transactions of the Royal Society of London. Series A, vol. 348, pp. 477–495, 1994.
  21. L. Stone, “Coloured noise or low-dimensional chaos?,” Proceedings of the Royal Society B, vol. 250, no. 1327, pp. 77–81, 1992. View at Publisher · View at Google Scholar · View at PubMed
  22. G. Sugihara and R. M. May, “Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series,” Nature, vol. 344, no. 6268, pp. 734–741, 1990. View at Publisher · View at Google Scholar · View at PubMed