3.2 ?????Bayes?? - PowerPoint PPT Presentation

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3.2 ?????Bayes??

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3.1 3.2 Bayes 3.3 ML 3.4 3.5 – PowerPoint PPT presentation

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Title: 3.2 ?????Bayes??


1
?????????
3.1 ???? 3.2 ?????Bayes?? 3.3 ML?? 3.4 ?????? 3.5
?????????? 3.6 ??????
2
3.1 ????(??????)
  • ?????????
  • ??????yP?xP??hP??? ??,??hP,?
    (yP, xP, stat_info(hP))?hP (?yPhPxPw)
  • ?????????slowly time varying?(????gtgt????),??hdhp
  • ?????????????????

3
??
????
4
??
????????
??????
????????
??????????????????????,????????????
5
3.2 ??????????
  • ??????
  • ????????
  • ????????
  • ????????
  • ??????
  • ????????

6
??????????
????????????????????
????????
?????????
??????
????????????? ??????
7
????
????????????????????
????C?
8
????
?
??????
9
Relation with cost in M-ary Detection
???????????????????????
10
????????
  • ???????????(M-ary??)
  • ???????????(?????,???)
  • ?M?8?,????????
  • ???????????,???
  • ????????,????????
  • ??,?????yhxw??????,????????????x????x1(????????)
    ,????????????????,????x2?
  • ?????,??????????????

11
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????????
????
?????????????????????
???
??????????????
12
????????
13
????????
?
3.???????????????
14
??????
????????
?????????,??? ?????
?
???,???????,??????? ,
???????????? ???????
15
??????
??????,????????????
??????
16
??????
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????
?????????????????????
???
??????????????
17
??????
18
?1
  • ????????????? ??????

?????
??nk?????,??? ????????????
???? ?????,??? ??????
? ???????(????????????????)
19
  • ?

??????
??????????,????????????,?
20
??????????????????
21
?????????
22
????????
????????????,????
23
(No Transcript)
24
(No Transcript)
25
?????????,????
???
????????????
?????????
26
??????
??????????
?????????
27
??????????????????????,??????????, ?????????????,
????????????,???????? ????? ?????????
28
?2
  • ????????????? ??????

?????
??n?????,??? ????????????
???? ?(-SM,SM)???????????
? ???????(???????????)
29
  • ?

??????
??????????,????????????,?
???,??,?? ???,????xk???? ,???
??? ????
30
??????????????????
31
??s?(-SM, SM)????,??
32
????????
????????????,????
33
(No Transcript)
34
(No Transcript)
35
3.3 ??????
  • ML????????MAP??
  • ???????? ??,???????????,??MAP????
  • ??

36
?1
  • ???????????
  • ??nk?????,??? ????????????
    ??????,??? ??????? ?? ??

37
(No Transcript)
38
????
39
(No Transcript)
40
ML??????
  • ? ??????,?
  • .???J(Jgt1)??,

41
?2
  • ??1,? ?ML??

42
?
?? ? ??????,??????,????
43
?????????,??????????????????
??????????
44
3.4 ?????????
  • ?????
  • ????
  • ????
  • ?????????
  • ?????

45
?????????
  • ????
  • ????
  • ????
  • ??????

46
???
?????? ??????? ? ,????????
????? ? ????
?? ?????? ????????????????,??????????????
???
????????????????
47
???
????N???????????
?
????? ??????????
?
????? ????????????
48
???
  • ????? ????? ,x???????? ????????
    ?????
  • ?? ???????
  • ??, ??? ??x?????,???
    ????
  • ?????????????

49
Cramer-Rao??RV
  • ?RV??? ?????? ?????,??
  • ???????? ?x,???
  • ?,???????

50
??
? ?????? ?????,??
??????, ?
51
??
?????
52
??
????-??????
???? ?,???????
53
??
??????
54
??
???-??????????
???
??????
55
??
???-??????????
56
Remarks
????????????-??????????
(1) ????? ???????? ???
,?????????
(2) ?????? ?????? ??
???????
?????,??????-???
57
Remarks
(3) ?????? ?????? ??
?????? ????,???????
(4) ?????? ?????? ????,???????,????????
??-?????
58
Remarks
(5) ?????? ???????? ??,????
???????? ,????????????
(6) ????? ???????? ??????????
59
????
?????? ?????? ?????,???????
60
?1
  • ???? ??????

??nk?????,??? ????????????,
?????? ????????
??????? ??????
61
???,
??
62
(No Transcript)
63
Cramer-Rao?RV
? ????? ?????,??
???-? ???
???-??????????
64
Remarks
(1) ??
??
65
Remarks
(2) ???? ???????? ???
,?????????
(3) ????? ?????? ??
???????
?????,??????-???
66
Remarks
(4) ????? ?????? ??
?????? ????,???????
(5) ????? ?????? ????,???????,?????????
?-?????
67
Remarks
(6) ????? ???????? ??,????
???????? ?
????????
68
????
????? ?????? ?????,???????
69
?2
??1??????? ??????? ?????????????
70
???,
??
71
??
72
(No Transcript)
73
????????CRLB
? ????? ??? ,???? ?
???????,??
???-? ???
????
?,????????
???-??????????
74
?3
  • ??1? ?
    ????????,??????????

75
  • ?

??
??
????????????,??
76
(No Transcript)
77
3.5 LMMSE??
  • Model
  • MMSE?MAP??????????
  • ML??????????
  • ?????????????????????????????????????????
  • ---??LMMSE??

78
LMMSE????
  • ????????????
  • ??,??????? ?????x?????,?
  • ???????????????,??
  • ??,?? ???????
  • ??,???????????????,?????????????????,?????????????
    ??

79
LMMSE????
?
80
LMMSE????
81
LMMSE????
  • Lemma

82
LMMSE????
???
83
LMMSE????
??
??
84
LMMSE???????
??(???????)
??(??)
??????
?????
85
LMMSE?????
(1) ??????????????
(2) ?????????????????
86
LMMSE?????
(3)????????????????
?????
????????????? ???????
?????x????,?
87
LMMSE?????
88
LMMSE?????
(4)??????????????????????
????????????????????????????,?????????????????????
????????
???????????????????,???????????????????????
89
?
?M?????????????????????? ? , ?????
???
? ????????????? ???????????
?
?
90
(No Transcript)
91
(No Transcript)
92
?????????????????
  • ??????????

92
93
?????????????????
  • ??????????

93
94
?????????????????
  • ??MMSE???????

95
?????????????????
  • ??MMSE????????????????L????????

? ?????
???MMSE????,?
??MMSE?????
96
3.6 ??????
  • ?????????,?????????????????
  • ????
  • ?????????
  • ???????

97
????????
  • ????
  • ????????

98
??????
99
??????????
100
??????
  • ??????????????
  • ????????0,LLS???????

101
??????
102
?1
103
?
104
????
  • ?????????????????,????????
  • ????W??????
  • ????????
  • ????????

105
??????
106
??????
  • ??????????????
  • ????????0,LLS???????
  • ??????

107
?????????
  • Lemma?A?B???MN?NK???????,?AAT??????,???????
  • ?
  • ?
  • ??

108
?2
  • ?
  • ?

109
?????????
  • ??????

110
?????????
  • ??????
  • ????
  • ????????
  • ??????? ,??????????
  • ????????
  • ???? ??????

111
??3
  • ??????(Slide 2)
  • Rayleigh, slow fading channel
  • yhxw
  • 1)????LMMSE???LS???,??MSE???P??????
  • 2)????LMMSE???LS???,??BER????????(P/N)??????(?????
    ??????????????)
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