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Commenced in January 2007 Frequency: Monthly Edition: International Publications Count: 29530

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Statistical Modeling of Mobile Fading Channels Based on Triply Stochastic Filtered Marked Poisson Point Processes
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.
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[1] R. Prasad and L. Munoz, WLANs and WPANs Towards 4G Wireless, Artech House, MA, 2003.
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[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.
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[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.
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[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.
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