Figure 11, Figure 12 and Figure 13 respectively show the changes in the detection rate with the increase of the signal-to-noise ratio under the "random yes", "random no" and "random error" attacks. We set the proportion of attackers to 50% and the attack frequency to 0.8. It can be seen that as the signal-to-noise ratio increases, the detection rate is also increasing. Because of the interference of noise in the channel, we may not be completely accurate in detecting whether the PU exists, which leads to a decrease in the detection rate. Through comparison, it is found that in an environment with a very low signal-to-noise ratio, the K-rank criterion and the WSHT algorithm cannot function well to correctly determine the state of the channel, while the algorithm we proposed still has a high detection rate.
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