Exact(6)
At last, we rely on fluid model proposed in [13, 14] in order to express the outage probability as a simple analytical expression depending only on the distance to the serving BS.
Two analytical methods are developed to express the outage probability.
We first express the outage probability by considering the path-loss and fast fading.
Based on the above derivations, we are now able to mathematically express the outage probability of CSMATXRX in a non-fading network.
For the fair scheduling scheme stated in (12), we can express the outage probability in (24) by using (21) as P k * out = F θ k * ( γ th ) ≃ 1 K ∑ k = 1 K 1 - e - η N 0 γ th P r 1 σ a, k 2 + 1 σ b, k 2 K. (26).
Hence, after some mathematical simplification and using (27), (28) in (24), we can express the outage probability of γ S 1 at the high SNR as, F γ S 1 I ( z ) = m m z 2 m mΓ ( m ) + e − K 1 + K z 1 + o z 1 m = 1 ( m + 1 ) m z 2 m mΓ ( m ) + e − K 1 + K z 1 + o z 2 m m > 1, (29).
Similar(54)
Substituting (21) and (29) into (26) allows us to express the close-form expression of outage probability for BTB SCM as (7).
Further, our numerical results suggest that as networks grow, it is difficult to perform significantly better than a standard layered construction, both on a fundamental level, expressed by the outage probability, as on a practical level, expressed by the word error rate.
Our numerical results suggest that as networks grow, it is difficult to perform significantly better than a standard layered construction, both on a fundamental level, expressed by the outage probability, as on a practical level, expressed by the word error rate.
In addition, the secure performance of the secondary network, as expressed by the outage secrecy probability and the average secrecy capacity, is maintained under the eavesdropping of the primary transmitter.
This performance measure is directly related to the outage probability, expressing the probability that the channel shows a deep fade which severely degrades the BER performance[35].
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