论文标题
在时间约束的载体泊松和高斯通道中，用于四个目标检测的启发式传感方案
Heuristic Sensing Schemes for Four-Target Detection in Time-Constrained Vector Poisson and Gaussian Channels
论文作者
论文摘要
在这项工作中，我们研究了不同的传感方案，以检测四个目标，如矢量泊松和高斯通道所观察到的，当传感时间资源受到限制，并且在该固定时间中可以通过多种总和组合观察到源信号。为此，在给定的总固定时间内，我们可以最大程度地提高分配给不同总和组合的时间的相互信息或检测概率。据观察，对于泊松和高斯频道而言。 $ 0-1 $成本的相互信息和贝叶斯风险不一定是彼此一致的。对于某些感应方案，在泊松通道和高斯通道中，由于施加线性时间约束，在泊松通道和高斯通道中的相互信息凹陷。在这项工作中，没有研究两个渠道中的任何一个。
In this work, we investigate the different sensing schemes for the detection of four targets as observed through a vector Poisson and Gaussian channels when the sensing time resource is limited and the source signals can be observed through a variety of sum combinations during that fixed time. For this purpose, we can maximize the mutual information or the detection probability with respect to the time allocated to different sum combinations, for a given total fixed time. It is observed that for both Poisson and Gaussian channels; mutual information and Bayes risk with $0-1$ cost are not necessarily consistent with each other. Concavity of mutual information between input and output, for certain sensing schemes, in Poisson channel and Gaussian channel is shown to be concave w.r.t given times as linear time constraint is imposed. No optimal sensing scheme for any of the two channels is investigated in this work.
