Computer Science – Information Theory
Scientific paper
2009-08-25
2008. ICC '08. IEEE International Conference on Communications, 19-23 May 2008 Page(s):4451 - 4455
Computer Science
Information Theory
Scientific paper
10.1109/ICC.2008.835
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.
Hadzi-Velkov Zoran
Karagiannidis George K.
Zlatanov Nikola
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