, (t) . , . , (t) x(t) , . z(t) , , , .
: . t=0 (.. ). t<, , .
. (7.19)
:
, (7.20)
- ; j(w) .
(7.19) (7.20) e. ex , .
, s W(w)
, (7.21)
. (7.22)
(7.21) (7.22),
(7.23) |
, ,
(7.24) |
.
:
; (7.25)
. (7.26)
(7.23) K(jw) K(jw) (7.19) (7.20). :
(7.27) |
,
.
, () [18]. z(t), , t+t, t , t .
, , z(t) t, . () z(t), h(t,t) (t - ).
|
|
z(t)
. (7.28)
, h(t,t).
h(t,t)=0 t<t, .. , z(t). (7.28) t. z(t)=0 t<0, . , , , h(t,t) t-t, .. h(t1t)= h(tt). , (7.28)
. (7.29)
. (7.30)
, . . , , (t+t) e:
(7.31)
(7.31) g[z(t)] (7.30) {g[z(t)]}2 t t`, :
;
z(t); Rzx(t+t) (t) z(t) .
,
(7.32)
-, . [16,18]: -, ( -). , , .
, . (. 7.8).
. 7.8.
- () , () , . y(). , , , . () , .
|
|
[19] , , y(t), (t) h(t):
. (7.33)
( ), {xk} {yk} :
,
.
, , , ..
,
. (7.34)
, , {hk}, (.7.9):
. (7.35)
, , . :
(7.36)
. (7.34) (7.36) {xk}=(0, 1, 2,) m - {yk}
. 7.9. |
(7.37)
(7.37) . . . , .
h-1, h2, . (7.37) k, .. m=1, 2,
, {xk} {hk}, . k-1 {xk} {yk} .
, (7.37). ,
, (7.38)
(k), y(kT), k=0,1,2, - , ; ai, bi .
(7.38) . ai¹0, , , . ai=0, () , :
. (7.39)
H(z) z - y(z) x(z) ( ):
|
|
. (7.40)
z- ,
. (7.41)
, :
. (7.42)
, (7.43)
z -:
. (7.44)
(7.38), (7.40), (7.44), :
. (7.45)
(7.39), (7.40), (7.44) :
. (7.46)
(7.45) (7.46) p=jw:
; (7.47)
. (7.48)
(7.47) (7.48), .
( ) h(k) :
; (7.49)
. (7.50)
, , . .
, , , , .
1. , ? ? , , , ?
2. , ? ? ?
3. ?
4. ? ?
5. ? ?