论文标题
关于最快检测光谱传感的性能:累积总和的情况
On the Performance of Quickest Detection Spectrum Sensing: The Case of Cumulative Sum
论文作者
论文摘要
在许多应用中,最快的变更检测(QCD)是一个基本问题。给定一系列测量值,在某个翻转点附近表现出两个不同的分布,目标是尽快检测到翻转点周围的分布变化。 QCD问题出现在许多实际应用中,例如,质量控制,电源系统线路中断检测,频谱重复使用以及资源分配和调度。在本文中,我们专注于频谱传感作为应用程序,因为它是认知无线网络适当功能的关键过程。依靠累积总和(CUSUM),我们得出了检测的概率和基于Cusum的频谱传感的错误警报的概率。我们使用数值模拟显示了我们推导的正确性。
Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution around the flipping point as quickly as possible. The QCD problem appears in many practical applications, e.g., quality control, power system line outage detection, spectrum reuse, and resource allocation and scheduling. In this paper, we focus on spectrum sensing as our application since it is a critical process for proper functionality of cognitive radio networks. Relying on the cumulative sum (CUSUM), we derive the probability of detection and the probability of false alarm of CUSUM based spectrum sensing. We show the correctness of our derivations using numerical simulations.