Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32009
Statistical Modeling of Mobile Fading Channels Based on Triply Stochastic Filtered Marked Poisson Point Processes

Authors: Jihad S. Daba, J. P. Dubois


Understanding the statistics of non-isotropic scattering multipath channels that fade randomly with respect to time, frequency, and space in a mobile environment is very crucial for the accurate detection of received signals in wireless and cellular communication systems. In this paper, we derive stochastic models for the probability density function (PDF) of the shift in the carrier frequency caused by the Doppler Effect on the received illuminating signal in the presence of a dominant line of sight. Our derivation is based on a generalized Clarke’s and a two-wave partially developed scattering models, where the statistical distribution of the frequency shift is shown to be consistent with the power spectral density of the Doppler shifted signal.

Keywords: Doppler shift, filtered Poisson process, generalized Clark’s model, non-isotropic scattering, partially developed scattering, Rician distribution.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 695


[1] R. Prasad and L. Munoz, WLANs and WPANs Towards 4G Wireless, Artech House, MA, 2003.
[2] T. Rappaport, Wireless Communications, Prentice Hall. NY, 1996.
[3] D. Snyder and M. Miller, Random Point Processes in Time and Space, NY: Springer-Verlag, 2002.
[4] J. Daba and P. Jreije, “Advanced Stochastic Models for Partially Developed Speckle,” International Journal of Electrical and Electronics Engineering, Vol. 3, No. 3, pp. 183-187, 2009.
[5] J. Daba and M. R. Bell, “Statistics of the Scattering Cross Section of a Small Number of Random Scatterers,” IEEE Transactions on Antennas and Propagation, vol. 43, no. 8, pp. 773-783, August 1995.
[6] A. Abdi, S. Nader-Esfahani, J. Daba and M. R. Bell, “Comments on Statistics of the Scattering Cross Section of a Small Number of Random Scatterers,” IEEE Transactions on Antennas and Propagation, vol. 48, no. 5, pp. 844-845, May 2000.
[7] J. Daba, “Advanced Models for Partial-Speckle Noise,” 5th International Conference on Computer, Electrical, and Systems Science, and Engineering (CESSE 2008), organized by the World Congress on Science, Engineering, and Technology, Vienna, Austria, August 2008.
[8] J. Daba, “Poisson Modulated Stochastic Model for Partially Developed Multi-Look Speckle,” American Conference on Applied Mathematics, Harvard University, Cambridge, MA, USA, March 2008.
[9] J. Daba, “Scattering Statistics of Doppler Faded Acoustic Signals Using Speckle Noise Models,” IEEE International Conference on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Lviv, Ukraine, Sept. 2003.
[10] J. Daba and M R. Bell, “Statistics of the Scattering Cross Section of a Collection of Constant Amplitude Scatterers with Random Phase,” West Lafayette, IN, Purdue University, School of Electrical Engineering Technical Report, TR-EE 94-25, July 1994.
[11] J. Daba, Detection and Estimation in Speckled Images Based on Marked Point Process Speckle Noise Models, Ph.D Dissertation, Purdue University, West Lafayette, IN, USA, August 1994. Published by University Microfilms International, Ann Arbor, Michigan, USA.
[12] J. S. Daba, J. P. Dubois, “Statistical Modeling of Local Area Fading Channels Based on Triply Stochastic Filtered Marked Poisson Point Processes,” International Journal of Electrical, Computer, Energetic, Electronic and Communication Engineering, Vol. 9, No. 7, pp. 652-657, 2015.
[13] R. H. Clarke, “A statistical theory of mobile radio reception,” Bell System Technical Journal, 47, No. 6, July-August 1968, pp. 957-1000.
[14] A. Abdi, J. Barger, and M. Kaveh, “A Parametric Model for the Distribution of the Angle of Arrival and the Associated Correlation Function and Power Spectrum at the Mobile Station,” IEEE Transactions on Vehicular Technology, Vol. 51, No. 3, May, 2002.
[15] G. D. Durgin, T. S. Rappaport, and D. A. de Wolf, “New Analytical Models and Probability Density Functions for Fading in Wireless Communications,” IEEE Transactions on Communications, vol. 50, no. 6, pp. 1005-1015, June 2002.