Maximal likelihood?????Matched filter????

1
Maximal likelihood?????Matched filter????
Ref Finn, PRD63, 102001 (2001) Pai,
Dhurandhar, Bose, PRD64, 042004 (2001)
Helstrom, Statistical Theory of Signal
Detection, (Pergamon, 1968)
????(???)
2004.4.22 LCGT????????WG 2004.4.26 ??
2
Maximal likelihood?????Matched filter????
Finn, PRD46, 5236 (1992)
???????????????
Likelihood ratio
s???????,g???????
s????????,g???????
??? n(t) ???0?????????
3
???????,??? ? ???
???
????
????,
4
????????????
Maximum-likelihood estimate
Maximum-likelihood ??
????false alarm ???

• ?????

??????????
S/N?
5
??????????????
??????????????????????,
?????????????,???likelihood ratio ?
???????LR??????
?,???????????????
?????? ?
6
?????ln??
???,?????????????,??????????????,?????????. ??????
? ???????S/N??? ???????????????,
???.
7
????A????????????????
???,
???
??,???????S/N?
S/N?? ?
8
S/N?2???????????S/N????
Pai et al. (PRD64, 042004)Inspiral???????,??,???,
inclination? ????,?????????.????,rho????????rho?2?
?? ????.??,???????rho?2??????,
A0????,
???, ???????S/N?????????
N????????. N????????,???????
????? 1??????????.
???, ??S/N???????????.
9
??????,?????????,false alarm rate?????????????????
??. ?????????,??2??????????????????,??S/N??false
alarm rate??????,false alarm rate??????,S/N???????
,?????????. ???,2???????????S/N????,??????????????
??,?????. ??????????????????????????????
10
?? Matched filter ??? (??S/N?????)
?????
?????
????? ??
????,???