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The maximum transmit rate of user n is calculated as below: R max n = f s ∑ k = 1 K b k, max n. (2).
Regardless of the time slot, the arrival rate of user n is bounded by ω n, and the transmit rate is limited by the maximum transmit rate R max n as defined in (2).
The transmit covariance matrix is denoted by K x = E [ x x † ] ≽ 0. Our goal in this article is to balance the maximum transmit rate of the SU and the interference from the SU-Tx to the PU-Rx by adjusting the spatial spectrum of the SU signals.
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Figure 5 illustrates the maximum achievable transmit rate for the SU using the BB algorithm in comparison with the heuristic algorithm and a reference algorithm from [9 11].
The CC2420 chip has a maximum data transmit rate of 250 Kbps and a receiver sensitivity of −95 dBm and operates in the 2.4-GHz bandwidth.
Moreover, we note that the maximum achievable transmit rate with the BB approach is always higher than the rate of the heuristic approach, which is higher than the reference algorithm.
Figure 6 illustrates the maximum achievable transmit rate for the SU obtained by the BB algorithm and the reference algorithm under different values of the PU outage probability limit and the corresponding values of c.
In Figure 6, we compare the two results of the maximum achievable transmit rate obtained by our algorithm and the reference algorithm under different values of the PU outage probability limit and the corresponding values of c in the reference algorithm.
The simulation setup of g n is the same as that for generating Figures 3 and 4. Figure 5 illustrates the maximum achievable transmit rate for the SU using the BB algorithm in comparison with the heuristic algorithm and a reference algorithm from [9 11].The reference algorithm adopts the concept that the interference power to the PU should be less than a given threshold with certain probability.
All users and relays are assumed to have the same minimum rate and maximum transmit power.
Fig. 3 SUE sum rate against R min. Figure 4 plots the MUE sum rate against the maximum transmit power limit of the MUE (P_{text {max}}^{p}) for different values of R min. It is seen that when R min is small, the MUE sum rate keeps constant and is equal to R min as (P_{text {max}}^{p}) increases.
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