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A Study of the Influence of Shadowing on the Statistical Properties of the Capacity of Mobile Radio Channels

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Abstract

This paper studies the influence of shadowing on the statistical properties of the channel capacity. The problem is addressed by using a Suzuki process as an appropriate statistical channel model for land mobile terrestrial channels. Using this model, exact solutions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the channel capacity are derived. The results are studied for different levels of shadowing, corresponding to different terrestrial environments. It is observed that the shadowing effect has a significant influence on the variance and the maximum value of the PDF and LCR of the channel capacity, but it has almost no impact on the mean capacity of the channel. The correctness of the theoretical results is confirmed by simulation using a stochastic channel simulator based on the sum-of-sinusoids principle.

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Author information

Correspondence to Gulzaib Rafiq.

Additional information

The material in this paper is based on “The Impact of Shadowing on the Capacity of Mobile Fading Channels”, by Gulzaib Rafiq and Matthias Pätzold which appeared in the proceedings of 4th IEEE International Symposium on Wireless Communication Systems, ISWCS 2007, Trondheim, Norway, October 2007. © 2007 IEEE.

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Rafiq, G., Pätzold, M. A Study of the Influence of Shadowing on the Statistical Properties of the Capacity of Mobile Radio Channels. Wireless Pers Commun 50, 5–18 (2009). https://doi.org/10.1007/s11277-008-9545-7

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Keywords

  • Land mobile terrestrial channels
  • Channel capacity
  • Shadowing effects
  • Lognormal process
  • Suzuki process
  • Level-crossing rate
  • Average duration of fades