Estimater-correlator L(x)= 2 i!te p{o4可∑2oj} 2m2 ex{-∑2(mj月 whxiong@uestc.edu.cn 6
whxiong@uestc.edu.cn Estimater-correlator 6 L(x) = 1 [2¼(¾2 s +¾2)] N=2 exp n ¡ 1 2(¾2 s +¾2) Px 2 (n) o 1 (2¼¾2) N=2 exp © ¡ 1 2¾2 Px 2(n) ª
Estimater-correlator L(x)= 2so+o7rep{-2o∑2(mj} 2 X{-》2(nj月 L(x)= ()(+)∑w whxiong@uestc.edu.cn
whxiong@uestc.edu.cn Estimater-correlator L(x) = 1 [2¼(¾2 s +¾2)] N=2 exp n ¡ 1 2(¾2 s +¾2) Px 2 (n) o 1 (2¼¾2) N=2 exp © ¡ 1 2¾2 Px 2(n) ª L(x) = N 2 ln µ ¾2 ¾2 s + ¾2 ¶ ¡ 1 2 µ 1 ¾2 s + ¾2 ¡ 1 ¾2 ¶ Xx 2 (n)
Estimater-correlator L(x)= 2soo7rep{0o4o∑a20j} 2rexp{-》2(nj月 L(x)= ()(动)X The detection statistics T()=2(n) whxiong@uestc.edu.cn 8
whxiong@uestc.edu.cn Estimater-correlator 8 L(x) = 1 [2¼(¾2 s +¾2)] N=2 exp n ¡ 1 2(¾2 s +¾2) Px 2 (n) o 1 (2¼¾2) N=2 exp © ¡ 1 2¾2 Px 2(n) ª L(x) = N 2 ln µ ¾2 ¾2 s + ¾2 ¶ ¡ 1 2 µ 1 ¾2 s + ¾2 ¡ 1 ¾2 ¶ Xx 2 (n) The detection statistics T(x) = Xx 2 (n)
Estimater-correlator L(x)= 2 xp{0o4o∑a20j} 2wexp{-∑r2(mj月 L(x)= ()()∑ The detection statistics T()=2(n) We decide H]if T()=>22(n)>Y whxiong@uestc.edu.cn 9
whxiong@uestc.edu.cn Estimater-correlator 9 L(x) = 1 [2¼(¾2 s +¾2)] N=2 exp n ¡ 1 2(¾2 s +¾2) Px 2 (n) o 1 (2¼¾2) N=2 exp © ¡ 1 2¾2 Px 2(n) ª L(x) = N 2 ln µ ¾2 ¾2 s + ¾2 ¶ ¡ 1 2 µ 1 ¾2 s + ¾2 ¡ 1 ¾2 ¶ Xx 2 (n) The detection statistics T(x) = Xx 2 (n) We decide H1 if T(x) = Xx 2 (n) > ° 0