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The Weibull-lognormal fading channel: analysis, simulation, and validation

  • Petros Karadimas
Research Output: Contribution to journal Article Peer-review

Abstract

In frequency-nonselective fading channels, the partial waves arriving at the mobile receiver cannot explicitly be of homogeneous nature due to nonuniform scattering caused by objects of specific reflective nature. Moreover, shadowing influences the received signal level by causing slow variations to its local mean. In this paper, we investigate a mixture stochastic process accounting for both inhomogeneous scattering and shadow fading by multiplying a Weibull process with a lognormal process. The first process models the possible scattering nonuniformities of the channel, whereas the second process accounts for the slow-term variations of the local mean due to shadowing. An exact solution for the composite probability density function (pdf) will be given, together with approximate solutions for the second-order statistics, i.e., the level crossing rate (LCR) and the average duration of fades (ADF). The approximate solutions come from the assumption of a slowly time-varying lognormal process compared with the Weibull process, the validity of which will be tested via an efficient deterministic simulation scheme that implements the analytical model on a digital computer. Finally, a curve fitting of the LCR to real-world data drawn from channel measurements will demonstrate the flexibility and usefulness of the proposed model.

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 3808-3813

Journal (Volume, Issue Number)

IEEE Transactions on Vehicular Technology (Volume 58, Issue 7)

Publication milestones

  • Published - 01/01/2009

Publication status

Published - 01/01/2009

ISSN

0018-9545

External Publication IDs

  • handle.net: 10547/272040
  • Scopus: 69549124212

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