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 letter, 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.

中文翻译：

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关于最快检测频谱感知的性能：累积和的情况

最快更改检测 (QCD) 是许多应用程序中的基本问题。给定在某个翻转点周围表现出两种不同分布的一系列测量，目标是尽快检测翻转点周围分布的变化。QCD问题出现在许多实际应用中，例如质量控制、电力系统线路中断检测、频谱复用、资源分配和调度等。在这封信中，我们将频谱感知作为我们的应用重点，因为它是认知无线电网络正常运行的关键过程。依靠累积和（CUSUM），我们推导出基于CUSUM的频谱感知的检测概率和误报概率。我们使用数值模拟展示了我们推导的正确性。