We consider a wireless source localization network in which a target node emits localization signals that are used by anchor nodes to estimate the target node position. In addition to target and anchor nodes, there can also exist eavesdropper nodes and jammer nodes which aim to estimate the position of the target node and to degrade the accuracy of localization, respectively. We first propose the problem of eavesdropper selection with the goal of optimally placing a given number of eavesdropper nodes to a subset of possible positions to estimate the target node position as accurately as possible. As the performance metric, the Cramér-Rao lower bound (CRLB) related to the estimation of the target node position by eavesdropper nodes is derived, and its convexity and monotonicity properties are investigated. By relaxing the integer constraints, the eavesdropper selection problem is approximated by a convex optimization problem and algorithms are proposed for eavesdropper selection. Then, the problem of jammer selection is proposed where the aim is to optimally place a given number of jammer nodes to a subset of possible positions for degrading the localization accuracy of the network as much as possible. A CRLB expression from the literature is used as the performance metric, and its concavity and monotonicity properties are derived. Also, a convex optimization problem is derived after relaxation. Finally, the joint eavesdropper and jammer selection problem is proposed with the goal of placing certain numbers of eavesdropper and jammer nodes to a subset of possible positions.

中文翻译：

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无线源定位网络中的窃听者和干扰者选择

我们考虑一个无线源定位网络，其中目标节点发出定位信号，锚节点使用这些信号来估计目标节点的位置。除了目标节点和锚节点之外，还可以存在窃听节点和干扰节点，它们分别旨在估计目标节点的位置和降低定位精度。我们首先提出了窃听者选择问题，其目标是将给定数量的窃听者节点最优地放置在可能位置的子集上，以尽可能准确地估计目标节点的位置。作为性能指标，推导出与窃听者节点估计目标节点位置相关的Cramér-Rao下界（CRLB），并研究其凸性和单调性。通过放宽整数约束，窃听者选择问题由凸优化问题逼近，并提出了窃听者选择算法。然后，提出了干扰选择问题，其目的是将给定数量的干扰节点最优地放置在可能位置的子集上，以尽可能降低网络的定位精度。使用文献中的 CRLB 表达式作为性能指标，并推导出其凹度和单调性。此外，在松弛后导出凸优化问题。最后，提出了联合窃听者和干扰者选择问题，目标是将一定数量的窃听者和干扰者节点放置到可能位置的子集。