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To benchmark the maximum achievable capacity, we consider the ideal scenario where the channel estimation is perfect.

Thus, the given rate for each station is the maximum achievable capacity of the wireless network divided by the number of wireless stations.

In this paper, we find the bounds for the maximum achievable capacity of a randomly deployed secondary cognitive radio network with finite number of nodes in the presence of primary users, i.e., in the underlay mode.

The gap between the DCMC capacity limit and the optimal curve at BER= 10−4 is 0.5 dB for AWGN channels and 0.73 dB for Rayleigh fading channels, that is, the maximum achievable capacity of the proposed optimal irregular mapping is 3.25 dB over AWGN channels and 6.1 dB over Rayleigh channels.

Therefore, if there are N wireless clients in the wireless network with the maximum achievable capacity of B bps, then each client is initially allocated B/(N* 2) bps, i.e., half of the fair rate, for each uplink and downlink communication.

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Figure 7 The maximum achievable transmission capacity of the cognitive network when the location of the relay varies.

Figure 7 reports the maximum achievable transmission capacity versus threshold when the relay is 20, 50, and 80m away from the PR along the PT-PR line.

In [6], the maximum achievable transmission capacity was studied in one-way relay-assisted D2D communications while guaranteeing the outage probability of both cellular and D2D links.

Figure 8 The maximum achievable transmission capacity of the cognitive network when the distance between the PT and the PR varies.

The maximum achievable transmission capacity when adopting the optimal power ratio is given in Figure 6, in which the threshold of the secondary network is set to be 1 or 3.

Based on the optimal power ratio, we derive the maximum achievable transmission capacity of the secondary network under the outage constraints from both the primary and the secondary network with or without cooperative relaying.

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