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As will be shown, this can, in turn, be formulated as a probabilistic coexistence problem under the constraint of a limited outage probability in the primary network.
Instead of not scheduling any SU, the radio-resource manager may decide to remove a subset of SUs chosen (similarly to [8]) to make the optimization problem feasible with a limited outage probability.
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Considering the interference-limited case, outage probability (OP) could be efficiently evaluated for various values of transmission parameters.
The system model and a statistical expression for interference-based AF are described in Section 2. In Section 3., the relay selection criteria for interference-limited systems and asymptotic outage probability analysis are presented.
In the interference-limited network, the secrecy outage probability of the typical cellular link when eavesdroppers have the multi-user decedability can be further derived as: begin{array}{*{20}l} {P^{II,int}_{c,sop}} = 1 - exp left({ - frac{{pi {lambda_{e}}}}{{{lambda_{b}}{C_{rho,M}}{Theta^{rho} }}}{{left({1 + {{hat gamma }_{e}}xi} right)}^{1 - M}}} right).
The authors in [18] provide three relay selection algorithms for distributed systems which can achieve a lower bit error rate (BER) performance compared to the traditional equal power allocation schemes, and an opportunistic resource allocation optimization design which maximizes the delay-limited capacity and minimizes the outage probability is given in [19].
In [10], under again the assumption of the availability of CSI at the receiver and transmitter, optimal dynamic resource allocation methods in relay channels are identified under total average power constraints and delay limitations by considering delay-limited capacities and outage probabilities as performance metrics.
Figure 2 Outage probability of interference-limited dual-hop AF systems in Nakagami - m fading channels with three i.i.d.i.d
Figure 2 plots the outage probability of interference-limited dual-hop multiple antenna CSI-assisted AF relaying systems with different ρ.
The effect of path loss and Nakagami-m fading environment on the outage probability for interference-limited cellular network has been investigated in [20].
Also, we observe that the high SNR approximations work well even at moderate high SNR regime, and the diversity order of the system is determined by the minimum of m1 and m2. Figure 1 Outage probability of interference-limited dual-hop AF systems in Nakagami - m fading channels when ρ 1 = ρ 2 : exact versus high SNR approximation.
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