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Both S and R can transmit over the PU spectrum and interfere with its signal without exceeding the maximum interference power tolerated by PU, I th.
We assume that the CR system can transmit through the unused PU band without exceeding the maximum interference power Ith that can be tolerated by PU.
Specifically, in underlay CRNs, the performance of the secondary (cognitive) users should be maximized while the maximum interference power to the primary users (PUs) should remain below a pre-specified threshold [4].
The curves level off as increases due to the fixed value of the maximum interference power that can be tolerated by the PU. Figure 1 Average total CRU bit rate,, versus total CRU transmit power,, with W, W, and.
By setting the value of the maximum interference power level allowed at the WiMAX receiver to the DAA levels, the expression of the minimum required SIR can be computed as (32).
where is the total power budget for all CRUs, is the maximum interference power that can be tolerated by the PU, and is a subcarrier assignment indicator, that is, if and only if subcarrier is allocated to CRU.
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This metric is conditioned on the maximum transmit power at the relay and the maximum tolerated interference power level at the primary user.
where (R^{min}_{q}) represents the target QoS at S U q ; (g_{qn}^{ k)}) is the power gain of the interfering link S T q −P R (k); (overline {P}^{ k)}_{q}) is the maximum average interference power that SU q is allowed to inflict on PU k ; and (P^{peak (k)}_{qn}) is the maximum peak interference power in band n that SU q is allowed to inflict on PU k.
The power curve of ABC tends to raise up with the increase of maximum tolerable interference power.
To maintain the QoS requirements for the primary network, we limit the maximum allowable interference power from the secondary network in the order of the received noise power, i.e., Ith = σ2 (=1).
The maximum aggregate interference power threshold at the PUs, I th PU, should be adopted to the known sensitivity of the primary system (e.g., linked to the outage probability of the PUs).
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