Fig. 11

Simulation results showing the probability of error \(P_{\text {E}}\) of the proposed distributed detection versus the censored area (which is equal to \(P_0 q_{M+1|0} + P_1 q_{M+1|1}\)). In addition, we compare the probability of error \(P_{\text {E}}\) of the proposed distributed detection (specified as PSRA) to the distributed detection using TDMA (specified as TDMA). The parameters are set up as follows: \(N=800\) and \(T=60\). The number of frames (M) is specified in the figure. The approximations of the optimal transmission probabilities \(\varvec{\rho ^{\star }} = (\rho _1^{\star }, \rho _2^{\star }, \ldots , \rho _M^{\star })\) from Proposition 4 are applied. The range of the observation is divided into a censored region \({\mathcal {C}}_1 = \{x:< \nu _1^L < x \le \nu _1^U \}\) and M uncensored regions \({\mathcal {U}}_1\), \({\mathcal {U}}_2\), \(\ldots\), \({\mathcal {U}}_M\). The thresholds of \({\mathcal {C}}_1\), which are \(\nu _1^L\) and \(\nu _1^U\), are adjusted to get the desired censored area. The thresholds of \({\mathcal {U}}_m\) which are \(\tau _m^L\) and \(\tau _m^U\), are selected such that \(q_{m|0} P_0 + q_{m|1} P_1\), for all m, are identical