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Composite Test The detection statistics Constant False Alarm,e.g.,PrA=P(H1;Ho) Under Ho I(x)~N(0,02/N) PrA=P(T(a)>Y;Ho)=fHo(t)dt=Q(/VTN ↓Y=Vge whxiong@uestc.edu.cn 9whxiong@uestc.edu.cn Composite Test 9 The detection statistics Constant False Alarm, e.g., T(x) = 1 N Xx[n] PFA = P(H1; H0) Under H0 T(x) » N(0; ¾ 2 =N) PFA = P(T(x) > ° 0 ; H0) = Z 1 °0 fH0 (t)dt = Q ³ ° 0 = p ¾2 =N ´ ° 0 = r ¾2 N Q ¡1 (PFA)
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