ТЭС
.pdf. . .
1996
- 3 -
01., -
. – : -
! " # $ . %
" # " #,
# . & " #, ' ( -
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$"", , (
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02.– . -
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03.( -
(t) * (t) -
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2 (t) = [a(t) a (t)]2 .
, ) ) ! %12 !,
! ! ) ! (
– ). , , -
( # ! ) – . * $ -
( -
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04. 5, $"" – -
. ! $
( $ . % , $""-
- 4 -
. $ (
*,% ' " , - ! ' " # . 6 "-
# 1 .7
" # ) 1. 8 -
' ' ' , ) ' ' . &-
7.9. 1 )-
– ) ! .
1. !
! "#
1.1. ) ' ! -
) , (,
( ) . 1 ) ' , m- "-7 = ( 1, 2, ... i, ... m), ( i
) Si(t), ) P(Si) , *. -
) 0 t T ) -
x (t) = S i (t) + (t) (t)
) Si(t). B ) !-
, $ ) ' -
. 1, # " #, , -
#, $ .
9 ! (, )
m = 2 ( , a1 "1", a2 "0"). 6, , # #
a1 ) S1(t), a2 – ) S2(t),
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# '
x (t) = S i (t) + (t) |
(1) |
B , # (t) ,
) S1(t) S2(t) ( x(t). -
91 ( S1) 92 ( S2):
-5 -
1)) 91 ) 91;
2)) 92, ) 91;
3)) 92 ) 92;
4)) 91, ) 92.
' !, -
- !. P(S1) P(S2);
: P(S1/S1), P(S2/S1), P(S2/S2) P(S1/S2).
, ! L21>0 L12>0, )
! ) ! ( # ) L11 0 L22 0. * ) L11 = L22 = 0,
r= L21P(S 2 / S1 ) + L12 P(S1 / S 2 ) .
1.2.9 .7. 1 .
2 P(Si/x) ' ), -
x(t), ' ) ) ) !,
) Si(t). , ( )
. 1 1 ,
x(t) !, ) Si(t), ) -
P(Si/x) . 1 ( , $
(&7). J # -
) &7 ( . 1) ( -
P(S1 x) = æ1 P(S2 x) = æ2 , ( x1 x2 . 5 ), ) ! -
P(S1 x) > P(S2 x) |
(2) |
L. 1
-6 -
(2) ) “1” ( ) 91),
“0” () 91 – !).
1.3.P(Si/x) -
"- M
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P(Si / x) = |
P(Si ) P(x Si ) |
(3) |
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P(x) |
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x(t) , ) Si(t), |
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i. |
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* ( P(Si/x) x(t)
Si(t), $ ( 1/ P(x)
(3) P(Si/x) ( |
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P(Si)P(x/Si), . . |
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P(S1 ) P(x S1 ) > P(S2 ) P(x S2 ) |
(4) |
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P(x S1 ) |
> |
P(S2 ) |
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(5) |
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P(S1 ) |
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P(x S2 ) |
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2 ! (5) , ) -
' 12 . , P(S1)=P(S2) (5) :
12 = |
P(x / S1 ) |
> 1 |
(6) |
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P(x / S2 ) |
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1.4. # ( ( S1(t) S2(t),
P(S1 x) + P(S2 x) = 1
6 P(S1 x) > P(S2 x) , S1(t), )
!
P = P(S 2 / x ) = 1 P(S1 / x ) |
(7) |
. . ! ,
P(S1/x). , , &7 $ '
!:
P = P(S1 ) P(S2 S1 ) + P(S2 ) P(S1 S2 ) = min .
- 7 -
1 ! ' - ) ' 1 .
1.5.L # -
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( .
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#” ( ' ! “( )”. , -
*–+, ) (, -
' ' ( ), '
#. , )
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' ) , ' ) !-
) ) 91 92 .
1.6.) 1 -
' &7. , ) Si(t) P(x/Si) ( ' w(x/Si), ! -
(6) (
12 = |
w(x / S1 ) |
> 1 |
(8) |
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w(x / S 2 ) |
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' , w(x) '
(t) , . .
w(x S1 ) = w( ) = w(x S1 ) , |
(9) |
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w(x S2 ) = w( ) = w(x S2 ) |
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6 ) ! -
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1 e |
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1 e |
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[x(t ) Si (t )]2 |
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w( ) = |
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- 8 -
L. 2
(9) (8)
T |
[x(t) S2 (t)]2 dt > T [x(t) S1 (t)]2 dt |
(10) |
0 |
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9 (10) ( /,
' ) ! ( . 2). 9 )
(10) , “ ” –
r |
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T |
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(11) |
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% 0 / (11)
L. 3
-9 -
. 3. # " -
# ' )
r r |
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(x Si ) = x(t)Si (t)dt |
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1.7. , # ' ( |
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x(t) , ( "
T |
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(13) |
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' (12).
T ) , $ , g(t) = Si (T t) . U ,
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(14) |
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y(T) = x(T )Si (T )d = x(t)Si (t)dt = (x S) |
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* " ' " (%J) ) Si (t) . 5 ), "
) ) S(t) , ) #
g(t) = a S(T t) |
(15) |
) – . J # g(t) |
( S(t) - |
t = T.( . 4).
1.8.+ 0 45 # (15) -
J
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L. 4
- 10 -
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g(t)e |
j t |
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j t |
(16) |
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KJ ( ) = |
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' " ' .
1.9. 2 ( %J, ) )
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t = T ! ) '
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2 max |
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2 max |
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P " : |
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2 max |
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2FS T |
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h2 |
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= nh2 |
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(18) |
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2 max |
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S |
1 |
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) n = 2FS T – ).
* , , %J, -
!, ! ) n, . . ( " ).
-11 -
1.10.2 # '
!, ) ( ) S1 (t) S2 (t) P(S1 ) P(S2 ) . )
x(t) , . . - # )
), - , ( ' (t). M , -
) S1 (t) . * ) (10) P(S2 S1 )
( :
P(S2 |
T |
T |
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S1 ) = P [x(t) S1 (t)]2 dt > [x(t) S2 |
(t)]2 dt |
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P(S2 |
S1 ) = P x(t)[S1 (t) S2 (t)]2 dt > |
[S1 (t) S2 |
(t)]2 dt |
(18) |
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U ! (
P = P(S1 ) P(S2 S1 ) + P(S2 ) P(S1 S2 ) ,
P(S1 ) = P(S2 ) P(S2 S1 ) = P(S1 S2 )
P = P(S2 S1 ) = P(S1 S2 ) .
1.11. ) ( . 5) P ( -
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P = P ( !S) > |
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!S |
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(19) |
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(, ! $) )
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, -
r
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L. 5
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