osnovy_postroenia_sistem_videonabolyudenia
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2 . i -% -
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& # mb,I I -& 2 -
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1 , % & xI ,i
$ mb ,I # %:
xI ,i = α i mb,I + βi + ni ,I ,
& xI ,i – & I -& 2 .,
& 1 , i -% ; mb,I – $ # I -& 2 .;
α i , β i – $ . $ -
. i -%
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ni ,I – I - 2 . i -%
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αˆ β i -% $ - |
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Z M − S x Sb |
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Eb S x − Z Sb |
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αˆ = |
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Eb M − Sb 2 |
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β = |
Eb M − Sb 2 |
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& Eb = ∑(mb2,I |
), Z = ∑(x I mb, I |
), S x = ∑(xI ), S b |
= ∑(mb, I |
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I =1 |
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I =1 |
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I =1 |
I =1 |
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M – ! 2 ., -
1 ; mb,I – $ # I-&
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. I-& ..
& . 1 $
% & -
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%. . $ $
%. * . % $
$ ..
5 . % . 1
#:
Λ(x) >< |
η , Λ(x) = |
p(x | H |
b |
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P{H f |
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, η = |
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p(x | H f ) |
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P{H b } |
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p(x | H b ) = |
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1 |
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2π |
(σ 2 |
+ σ |
2 |
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+ σ 2 |
m 2 ) |
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β , j |
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α , j |
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(x − mˆ bαˆ( j −1) − β ( j −1) ) |
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× exp |
− |
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2 |
(σ 2 |
+ σ 2 |
+ σ 2 |
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m 2 ) |
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β , j |
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1 |
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p(x | H f |
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− f min |
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0, f |
[ f |
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& j |
– , j = 1,2..k ; |
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αˆ j −1 , |
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– - |
β j −1 |
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. j − 1 ;
σn2 – $ ;
Λ(x) – ;
η– & .;
f min , f max – $ $ ! ,
#$ , -;
p(x | H f ) – $ & &
x , ! & H f -
! 1 ;
p(x | H b ) – $ & &
x , ! & Hb - ! #.
62
( ! σ α , j , |
σ β , j , j = 1,2..k |
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, |
! |
σ α ,1 > σ α ,2 |
> .. > σ α ,k |
> 0 , |
σ β ,1 > σ β ,2 |
> .. > σ β ,k |
> 0 ; k – ! %. |
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. *. 3.2.1 ) .: ( ), ( ) $ ( )
.
63
$ & . -
. *. 3.2.1. 7 . $, . %
« $ $» # - &, ! « $ » σ α , j , σ β , j . % -
. * , ! # mˆ b -
ˆ %$ !, -
αˆ β
$ . $ .
& & . 1
& $ $ & !
, . 9 -
. . 1 , !
. $ $. 9 . . #-
1 , $ & ,
! !$.
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