Noise uncertainty analysis of energy detector: Bounded and unbounded approximation relationship

Energy detection is a simple non-coherent approach used for spectrum sensing that offers linear computational complexity and low latency. Its main shortcoming is the well-known noise uncertainty problem, which results in failed detection in the very low signal-to-noise ratio. In this paper, we give a theoretical analysis of the noise uncertainty modeling with energy detection to drive a relationship between bounded and unbounded uncertainty approximation.