**6.3 One-hundred-sensor network**

We consider a large-scale network with one hundred sensors. The parameter settings are similar to Section 6.2. The ROC curves of the 20-out-of-100 rule, the 40-out-of-100, the 50-out-of-100, the 60-out-of-100 rule, and the 80-out-of-100 rule are plotted in **Figure 5**.

From **Figure 5**, it can be seen that the dramatically lower computational requirement of our method enables us to handle a large sensor network consisting of one hundred sensors. This is due to the fact that we have shown that there exist analytical forms of the optimal sensor rules for the *K*-out-of-*L* rule. In addition, the decision fusion performance of different methods is improved, as the number of sensors becomes large.

**Figure 4.** *Ten-sensor ROC curves with the probability of channel errors p* ¼ 0*:*05, 0*:*15, 0*:*3*.*

**Figure 5.**

*One-hundred-sensor ROC curves with the probability of channel errors p* ¼ 0*:*05, 0*:*15, 0*:*3*.*
