Composite Test-two-sided test Detection performance: for A>0 Pp=Q(Q-(PrA)-VNAP/o2 ↓ Symmetric pdf of T(x) for A<O PD=Q(Q-(PEA)-VNA2/o2) This detector is called Clairvoyant Detector Unrealistic:Knowledge of A is needed to make decision Important:Provides upper bound on the detector's performance whxiong@uestc.edu.cn 18whxiong@uestc.edu.cn Composite Test—two-sided test 18 This detector is called Clairvoyant Detector Unrealistic: Knowledge of A is needed to make decision Important: Provides upper bound on the detector’s performance Detection performance: for A>0 PD = Q µ Q ¡1 (PFA) ¡ q NA 2 =¾2 ¶ for A<0 PD = Q µ Q ¡1 (PFA) ¡ q NA 2 =¾2 ¶ Symmetric pdf of T(x)