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In the constant information rate system such probability is (15).
For the constant information rate system, we have (23).
As stated in Section 5, the cdf for the constant information rate system is given by: (A.3).
In the following, we derive the calculation for the cumulative density function of the achievable rate for the system with constant information rate and the approximation for the cdf of the adaptive information rate system we proposed in this paper.
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Based on [10, 11], we define a constant information rate (CIR) system that will be used as a benchmark to our proposed adaptive system.
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According to the received signal model given by (27), the corresponding ergodic capacity, or the maximum system mutual information rate, of the quantized MISO beamforming system is given by (30).
Therefore, the information rate achieved in the system can be calculated as a sum of rate of each user, which can again be calculated similarly as in the single-user system.
Firstly, we analyze the information rate of the CR system with multiple pairs and then theoretically evaluate the interference towards the PUs caused by simultaneous access of multiple SU pairs in the CR system.
Figure 5 Comparison of the achievable system information rate between OFDMA and SC-FDMA for different numbers of users under different receive SNR conditions in SCME "urban-macro" scenario.
We observe from the figure that for the given probability of missed detection, the information rate of the CR system may be increased as the number of SU pairs increases.
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