在衰减信道中基于最小贝叶斯风险的检测算法

Detection arithmetic with fading channel based on the minimum Bayes risk

针对实际检测过程中本地检测器至融合中心传输信道的非理想性,提出了基于两种非理想信道模型的分布式检测算法:第一种为融合中心已知非理想信道的瞬时状态信息;第二种为融合中心已知非理想信道的统计特性。通过最小化平均贝叶斯风险来设计本地检测器和融合中心的优化判决算法,其判决形式都可简化为似然比判决。最后通过仿真表明第二种模型的检测性能略低于第一种模型,但其计算量却大大降低。

Aiming at the non-ideal fading channel from the local detectors to the fusion center in the factual detection, the distributed detection arithmetic is put forward based on two kinds of non-ideal channel model： firstly the instant channel state information has been known by the fusion center; secondly the channel fading statistics has been known by the fusion center. The optimal decision arithmetic are obtained by minimizing the average Bayes risk, the decision form of the local detectors and fusion center can be simplified as the likelihood ratio test. Finally, the stimulation shows that the detection performance of the second model is slightly worse than the first model, but the calculation is simplified greatly.