Level crossing rate and average fade duration of the multihop Rayleigh fading channel

Zoran Hadzi-Velkov, Nikola Zlatanov, George K. Karagiannidis

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

15 Citations (Scopus)


We present a novel analytical framework for the evaluation of important second order statistical parameters, as the level crossing rate (LCR) and the average fade duration (AFD) of the amplify-and-forward multihop Rayleigh fading channel. More specifically, motivated by the fact that this channel is a cascaded one, which can be modelled as the product of N fading amplitudes, we derive novel analytical expressions for the average LCR and AFD of the product of N Rayleigh fading envelopes, or of the recently so-called N*Rayleigh channel. Furthermore, we derive simple and efficient closed-form approximations to the aforementioned parameters, using the multivariate Laplace approximation theorem. It is shown that our general results reduce to the specific dual-hop case, previously published. Numerical and computer simulation examples verify the accuracy of the presented mathematical analysis and show the tightness of the proposed approximations.

Original languageEnglish
Title of host publicationICC 2008 - IEEE International Conference on Communications, Proceedings
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages5
ISBN (Print)9781424420742
Publication statusPublished - 12 Sep 2008
Externally publishedYes
EventIEEE International Conference on Communications 2008: Communications: Faster-Higher-Stronger - Crown Plaza Park View, Beijing, China
Duration: 19 May 200823 May 2008
http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=4533035 (IEEE Conference Proceedings)

Publication series

NameIEEE International Conference on Communications
ISSN (Print)0536-1486


ConferenceIEEE International Conference on Communications 2008
Abbreviated titleICC 2008
Internet address

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