.


:




:

































 

 

 

 





, :

y (t)= y (ti)[ 1 (t-jT)- 1 (t- (j+ 1) T)]= y (ti) Hj, (3.32)

j = 0, 1, 2,...; tj = jT.

Hj

Hj = 1 (t-jT)- 1 [ t- (j+ 1) T)], (3.33)

, . , . .

. 3.10.

0, . . , 1, . . . 3.10. j , () . i Δ t, i. i = 0. i Δ t : ) , ; ) .

ui uki (k = 1, 2, 3,...) (i Δ t), Hi (3.44), (3.43). .

. . 3.11. . 3.12. Ux,

(3.34)

i = 0 L , :

U ,,= d (t-i D t), i =... -2, -1, 0, 1, 2, 3, , (3.35)

= U , t < N0, (3.36)

N D t<t< (N+ 1)D t. (3.37)

t 1 N 0, Ux U0. ,

(3.38)

(3.39)

 

. 3.12.


j=l

(3.40)

t2 .

U =d(Uy)=d(t-t2) (3.41)

(), .

t2. , , U :

(3.42)

(3.39) :

. (3.43)

Ux .

t2

(3.44)

N (3.37) ,

(N0+N)D t<t2< (N0+N+1)D t. (3.45)

t2 D ti,

(3.46)

0<D2£D tN+1 , (3.47)

0<D2 f2N£ 1. (3.47)

(3.43) (3.46)

(3.48)

, x=Ux., y=N. Δ z = Δ 2 f 2CP , .

, U. , . . (3.48) k1=k2, f1.=f2., U=0, . . :

(N/N0) U0<U*x .< [(N+ 1)/ N0 ] U0. (3.49)

(3.48)

(3.50)

T=2N 0 Dt+MDt, Μ , .

(3.34), (3.36), (3.37), (3.39) t, .

 

3.3. .

. :

1) , ,

2) ,

3) ( , , ).

. .

1. , , . . . . 3.13 , ( ) .

. 3.13. N

 

2. Δφ,

Δφ= (3.51)

G , r, I ( ), k ( ), .

3. :

(3.52)

E Df; R .

4. () , ( ), ,

(3.53)

i0 t; e .

5. , , () , , , . .

(3.54)

, R , i , f .

:

1) , ,

2) , ,

3) .

, , .

. , . . x1, , xm-1 . . .

:

1) ,

2) ( , ),

3) , .

() z.

. , , .

1. , ,

, (3.55)

, R , , D V , , = const.

2.

(3.56)

, Μ , R , .

:

3. , .

4. , , , , .

, , .

. b1, ,bi 1, ,ak [11]:

(3.57)

, aj aj0 , :

(3.58)

, , :

1) ,

2) , .

. , , .

:

1. x1,, xm, , , .

2. ; , . . , .

3. , . .

.

. ( ). () Sx (ω). , X . y=f(x) Y.

1- . . a1, , ak, p (a1, , ak) p1 (a1, , ak). b1, , bi, (3.57) i=1, 2,..., l, :

ψ i : , aj . . 3.1.

2- . . : Sx (ω) Κx(τ) , [12].

(3.59)

(3.60)

( ) . .

 

3.1.

Z = f (X), X =w(X)  
Z = X+Y
Z = X-Y
Z = XY
Z = X / Y

 

X , (E [ X ] = 0), .

Y = X 2, (3.61)

,

X1=X (t), X2=X (t+ t), (3.62)

Ky (t)= E {[ X12-E (X12)][ X22-E (X22)]}. (3.63)

Ky (t)=2[ Kx (t)]2.(3.64)

. (3.65)

(3.65)

, (3.66)

.

:

Y=b0+b1X+b2X 2, (3.67)

X , ,

, (3.68)

. (3.69)

Y=XU, (3.70)

E(X)=E(U)=0, X, U , ,

, (3.71)

. (3.72)

(3.67), (3.70) . , .

 





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