A Macrocell Model Based on the Parabolic Diffusion Differential Equation

  • Jan-Erik Berg
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 309)


A method to determine the path loss in macrocells, based on the parabolic diffusion differential equation, disregarding the phase information of the propagating wave, is suggested. The multiple knife-edge approach is applied and only multiple diffracted waves, no reflections, are considered. A non-flat terrain can be handled. The differential equation is solved by using the explicit Forward-Difference method, where the distance between the calculation points can be 5 m in the height direction when the wavelength is only 0.3 metres, which makes the method extremely computer efficient.


Path Loss Line Source Suggested Model Knife Edge Hilly Terrain 
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  1. [1]
    J. Walfisch and H. Bertoni, “A Theoretical Model of UHF Propagation in Urban Environments,” IEEE Transactions on Antennas and Propagation, Vol. 36, No 12, pp.1788–1796, Dec. 1988.CrossRefGoogle Scholar
  2. [2]
    “A Diffraction Based Theoretical Model for Prediction UHF Path Loss,” IEEE Trans. Veh. Technol., Vol. 37, pp. 63–67, 1988.Google Scholar
  3. [3]
    Jan-Erik Berg, “A Macrocell Model Based on the Parabolic Heat Differential Equation”, COST 231 TD(92) 6, Vienna, Jan. 1992.Google Scholar
  4. [4]
    Jan-Erik Berg “A Macrocell Model Based on the Parabolic Heat Differential Equation,” Proceedings of Nordic Radio Symposium, Aalborg Denmark, pp. 39–42, June 1–4, 1992.Google Scholar
  5. [5]
    “Transmission Loss Predictions for Tropospheric Communication Circuits”, National Bureau of Standards, Technical Note 101, Vol. 1, May 7, 1965.Google Scholar
  6. [6]
    M. Hata, “Empirical Formula for Propagation Loss in Land Mobile Radio Services, “IEEE Trans. Veh. Technol., Vol. VT 29, No. 3, pp. 317–325, Aug. 1980.MathSciNetCrossRefGoogle Scholar
  7. [7]
    J.B Andersen, J.T. Hviid and J. Toftgård, “Comparison Between Different Path Loss Models,” COST 231 TD(93)-06, Barcelona, Jan. 1993.Google Scholar
  8. [8]
    Jan-Erik Berg and Håkan Holmquist, “An FFT Multiple Half-Screen Diffraction model”, to be published in Proceedings VTC 94, Stockholm, Sweden, June 7–10, 1994.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Jan-Erik Berg
    • 1
  1. 1.Ericsson Radio Systems ABStockholmSweden

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