Skip to main content
Log in

Discrete direction method in nonlinear problem of incoherent scattering spectrum fitting

  • Published:
Geomagnetism and Aeronomy Aims and scope Submit manuscript

Abstract

A new fitting technique based on functional partition by simplexes of the nth order is developed to determine ionospheric plasma parameters with spectral measurement data from the Irkutsk incoherent scatter radar. In this approach, the search for a minimum of a multidimensional functional is reduced to a minimized calculation of model functions in each iteration. The algorithm also allows simplification of the search-stop criterion.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bard, Y., Nonlinear Parameter Estimation, New York: Academic, 1970.

    Google Scholar 

  • Dennis, J.E., Jr. and Schnabel, R.B., Numerical Methods for Unconstraned Optimization and Nonlinear Equations, Prentice-Hall, 1983.

  • Erickson, P.J., Observation of Light Ions in the Midlatitude and Equatorial Topside Ionosphere, Cand. Sc. Dissertation, Cornell Univ., 1998.

  • Farley, D.T., A Theory of Incoherent Scattering of Radio Waves by a Plasma, J. Geophys. Res., 1966 vol. 71, no. 17, pp. 4091–4098.

    Google Scholar 

  • Hagen, J.B. and Hsu, P.Y., The Structure of the Protonosphere above Arecibo, J. Geophys. Res., 1974 vol. 79, pp. 4269–4275.

    Article  Google Scholar 

  • Hamming, R.W., Numerical Methods for Scientists and Engineers, New York: McGraw-Hill, 1972.

    Google Scholar 

  • Holt, Rhoda, Tetenbaum, and Van Eyken, Optimal Analysis of Incoherent Scatter Data, Rad. Sci., 1992 vol. 27, p. 435.

    Article  Google Scholar 

  • Lehtinen, M.S. and Huuskonen, A., General Incoherent Scatter Analysis and GUISDAP, J. Atmos. Terr. Phys., 1996 vol. 58, nos. 1–4, pp. 435–452.

    Article  Google Scholar 

  • Nikoukar, R., Kamalabadi, F., Kudeki, E., and Sulzer, M., An Efficient Near-Optimal Approach to Incoherent Scatter Radar Parameter Estimation, Rad. Sci., 2008 vol. 43, p. RS2007.

    Article  Google Scholar 

  • Sheffield, J., Rasseyanie elektromagnitnogo izlucheniya v plazme (Scattering of Electromagnetic Radiation in Plasma), Moscow: Atomizdat, 1978.

    Google Scholar 

  • Shpynev, B.G., Incoherent Scatter Faraday Rotation Measurements on a Radar with Single Linear Polarization, Rad. Sci., 2004 vol. 39, no. 3, p. RS3001.

    Article  Google Scholar 

  • Swartz, W.E., Analytic Partial Derivatives for Least-Squares Fitting Incoherent Scatter Data, Rad. Sci., 1978 vol. 13, pp. 581–589.

    Article  Google Scholar 

  • Vallinkoski, Statistics of Incoherent Scatter Multiparameter Fits, JATP, 1988 vol. 50, p. 839.

    Article  Google Scholar 

  • Zherebtsov, G.A., Zavorin, A.V., Medvedev, A.V., et al., The Irkutsk Incoherent Scattering Radar, Radiotekh. Elektron., 2002 vol. 47, no. 11, pp. 1339–1345 [J. Commun. Technol. Electron., 2002 vol. 47, no. 11, pp. 1222–1228].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © B.G. Shpynev, A.L. Voronov, 2009, published in Solnechno-Zemnaya Fizika, 2009, Vol. 14, pp. 77–81.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shpynev, B.G., Voronov, A.L. Discrete direction method in nonlinear problem of incoherent scattering spectrum fitting. Geomagn. Aeron. 50, 908–913 (2010). https://doi.org/10.1134/S0016793210070133

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016793210070133

Keywords

Navigation