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The relays are ordered based on the instantaneous end-to-end SNR of the source-relay-destination links.
The outage probability of TWO-AFNC systems is defined as the probability that the instantaneous end-to-end SNR falls bellow a certain predefined threshold μ0.
However, if a relay cannot decode the message correctly, it will not transmit and hence, the instantaneous end-to-end SNR will be set to zero [25].
Therefore, R c (n) is the instantaneous end-to-end throughput capacity of the channel between A and B and vice versa.
In practice, θ = 3 denotes the high SNR approximate case where the two instantaneous end-to-end SNRs are independent [15].
Closed form expressions for both the cumulative distribution function and probability distribution function of the instantaneous end-to-end SNR are derived.
The instantaneous end-to-end delay associated with a route length regarding hops count of the proposed OPRHSN is illustrated in Fig. 5.
The work in [11] relies on using instantaneous end-to-end wireless channel conditions to obtain the best single relay for cooperative diversity.
Note that, γ b 0 ( DF ), and γ b 1 ( DF ) are dependent random variables due to the ordering of the instantaneous end-to-end SNR.
Outage probability is defined as the probability that instantaneous end-to-end SNR falls below certain predetermined threshold value, i.e., γth.
The outage probability is an effective method to quantify the system performance, which is defined as the probability that the instantaneous end-to-end SNR (or SINR) falls below a predefined threshold.
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