Fig. 10

Simulation results showing the probability of error \(P_{\text {E}}\) of the proposed distributed detection versus N. 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. The collection time T is equal to 60 time slots. 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 \({\mathcal {C}}_1 = \{x: -1 < x \le 2\}\) and M uncensored regions \({\mathcal {U}}_1\), \({\mathcal {U}}_2\), \(\ldots\), \({\mathcal {U}}_M\). 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