A general framework for the calculation of the average outage duration of diversity systems over generalized fading channels
Young-Chai Ko; Abdi, A.; Alouini, M.-S.; Kaveh, M.
Vehicular Technology, IEEE Transactions on
Volume 51, Issue 6, Nov 2002 Page(s): 1672 - 1680
Digital Object Identifier 10.1109/TVT.2002.804845
Summary: This paper presents two approaches for the calculation of the average outage duration (AOD) of diversity systems over generalized fading channels. First, a "classical" probability density function (pdf)-based approach is used to obtain exact closed-form expressions for the AOD of maximal-ratio combiner (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying upon a numerical technique for inverting Laplace transforms of cumulative distribution functions, and in conjunction with the calculation of the joint characteristic function (CF) of the combined output signal-to-noise ratio process and its time derivative, a CF-based approach is adopted to compute the AOD of MRC over non-i.i.d. Rayleigh and Rician diversity paths. The mathematical expressions are illustrated by presenting and interpreting numerical results/plots, showing the impact of the power delay profile, the angles of arrival, and the angle spreads on the AOD of diversity systems operating over typical fading channels of practical interest.
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