5. z- ?
4.4.
W() x (t), - x (t) (.4.12). (t) x (t), .
z - , , .4.13.
x (t) - δ- x* (t). x* (t) , W (), x* (t) x (t). W () (t). (t) - δ-, x (t). * (t). (t) .
W () (.4.14). 1 (t) 1 (t) 1 (t-), , .. 1 (t) =1 (t) -1 (t-).
.4.13 , ,
.4.13 , .4.15.
* (t) * (t) z - x (z) y (z). * (t) * (t) .4.16.
* (t) (. (4.3)) δ -, , (). δ - k (t-nT), , (). .4.16 (0) k (t), (1) k (t-T), (2) k (t-2T) *(0), *(1),*(2) * (t). (0) k (t), (1) k (t-T), (2) k (t-2T),. (t). - (t) * (t), * (0), * (1), * (2),.
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(t) (. (4.3))
(4.9)
(t) .4.16
(4.10)
(4.10) (4.9)
(4.11)
(4.11) , z -,
(4.12)
()
(4.13)
(4.12) , , ,
(4.14)
, , , . x (z) , W (z) (z) . (4.14) , .
(4.13),
, (4.15)
, z -.
, =0,1 .
.
(4.15)
(4.16)
(4.16), (4.16) (4.15) , .4.1,
(4.17)
1. δ-, ?
2. .
3. .
4. ?
5. , .
4.5.
, , , . , , , . , W () W (z) - (.4.13).
.
.4.17 , , v (t) 1- - v (t), 2- . , .
,
(4.18)
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.4.17 , v (t). .
(4.19)
, .
(.4.18)
(4.20)
(.4.19)
(4.21)
(t) y (t) (t) y (t), , ε (t) . ε (t) , (t) y (t), ε (t), ε (t).
, , .
(4.17)
(4.21)
(4.22)
1. ? , ?
2. ?
3. ?
4. , .
4.6.
(. 2) .
- z - W (z) , (41.9), z -
(4.23)
.
W (z) (4.22) z -
(4.24)
h (z) , , - h (n). :
1) h (z) z-n;
2) .
1. () h (z) z-n
(43.2)
0,5z2-0,35z z2-1,8z+0,8
, (4.25)
z-n h (n) (. (4.8)).
.4.2 (.4.20).
4.2
∞ | |||||||||||
h (n) (4.25) | 0,5 | 0,55 | 0,59 | ||||||||
h (n) (4.28) | 0,5 | 0,55 | 0,59 | 0,622 | 0,648 | 0,668 | 0,684 | 0,698 | 0,708 | 0,716 | 0,75 |
h () h (z) h (z).
, h () .
2.
(4.24) z - (.4.1)
(4.26)
(4.26), , .4.1, h (t)
, (4.27)
α , (. .4.1)
(4.27) , :
(4.28)
h () (4.28) , 1- (.4.2).
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, .
(4.28)
1. z- ?
2. .
3. .
4. ?
4.7.
.
: h (∞) , h . .
zi ( ). di (. .40.1), , ,
(4.29)
αi h (t). , αi zi , , (4.29), zi 1: .
, ( 2- ). .
, , . , D (z) . D (z)
(4.30)
, | z | <1 w (Re (w)< 0), :
, D (w) . , , .
:
1. , 1-
.
D (z) =z-a (4.30):
1- , D (w)
2. , 2-
.
D(z)=z-a (44.2)
2- , D (w)
(4.31)
(4.31) .4.21. .
1. ?
2. , D ( z ), D ( w ) ?
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3. 1- ?
4. 2- ?
4.8.
. 4.6 W () :
1) 25%, , , ;
2) 9 , .
, . , , . (.4.22). . - (. .4.5), (4.18) .
h () (.4.23), 0%, 2 .
h () .4.3. ε () =1 () -h () ( .4.22) .4.3.
4.3
h() ε()
∞ | |||||
h () | 0,8 | ||||
ε () | 0,2 |
ε () . z - (. (4.8)), .4.3 ε ()
, h (z) =1 (z) -ε (z), z - h (z):
(. (4.14)),
, .45.1,
,
(4.32)
W (z) (4.17) .
h () (.4.24), h (z) , ε (z) =1 (z) -h (z).
1. z- ?
2. , ?
4.9.
z - (z)
z -, ,
, , 1 2 , x (n), a1x (n) z-1 a2x (n) z-2 (.4.25).
z -
(4.33)
z - S(z)
, .4.25, S (z)
, - ,
,
( (-1), (-2) ..) .
z - S (z) (4.33) S () - (4.34) , :
1) (4.34) ( (), (-1), (-2) ..), , () - , z S (z) (4.33);