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However, the fast fading term can be eliminated by averaging the RSS values over a time interval [19].
Let us remark that, since the shadow fading term ψdB is normally distributed, the path gain a of Equation (6) is a random variable.
Note that in this section, we are considering the shadow fading effect; thus, the path gain is a random variable related to the random shadow fading term ψdB, as shown in Equation (6).
Here, we assume that the fading term p i.j,k is random and the path loss coefficient q i,j,k depends on the distance between nodes i and j.
We assume that the fading term p i,j,k is a complex-valued, independent and identically distributed Gaussian in each dimension with a zero mean and 1/2 variance.
Thus, in the presence of channel fading term H c, the expression in (27) is still valid since the resulting time-domain functions (boldsymbol {W}_{bar {u}}) and (boldsymbol {W}_{u neq bar {u}}) are both affected by the same channel component.
Similar(52)
Comparing with [9, 10], we adjusted the computations in our paper by adding the fading memory term to the problem in [9] and the term λu to the problem in [10] and simplified the estimating process.
Second, Eq. (1.1) contains the fading memory term, which is not compact, so usual methods are not in use.
Wireless channels are simultaneously affected by short-term fading and long-term fading (shadowing) [1].
The capacity with MRC in correlated Rayleigh fading in terms of Poisson distribution and Exponential integral was obtained in[4, 5].
The design of an optimum scheme when the retransmissions are subject to fading in terms of number of retransmissions is, however, involved and out of the scope of this work.
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