A tight closed-form approximation of the log-normal fading channel capacity

  • Authors:
  • Fabien Héliot;Xiaoli Chu;Reza Hoshyar;Rahim Tafazolli

  • Affiliations:
  • Centre for Communication Systems Research, Faculty of Electronics & Physical Sciences, University of Surrey, Guildford, UK;Division of Engineering, King's College London, University of London, London, UK;Centre for Communication Systems Research, Faculty of Electronics & Physical Sciences, University of Surrey, Guildford, UK;Centre for Communication Systems Research, Faculty of Electronics & Physical Sciences, University of Surrey, Guildford, UK

  • Venue:
  • IEEE Transactions on Wireless Communications
  • Year:
  • 2009

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Abstract

The log-normal probability distribution has been commonly used in wireless communications to model the shadowing and, recently, the small-scale fading for indoor ultra-wideband (UWB) communications. In this paper, a tight closed-form approximation of the ergodic capacity over log-normal fading channels is derived. This expression can be easily used to evaluate and compare the ergodic capacities of communication systems operating over log-normal fading channels. We also utilize this expression to show that the capacity of a multiantennas UWB system operating over the IEEE 802.15.3a channel can be improved mainly through receive diversity.