.


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{jj(t)} - .

.

(2.3) (2.4) , [ξj(t)φj(t)] , .

.

, [ (t) = jj(t)], 1, c2,..., cN u(t) . , (2.4) u(t) N [ (1.8)], .

, . , , , .

, . , . .

, , , , . jj(t) . k .

. , . , , , . , , . , , , -, (1.95). , , .

, . (. 1.3).

, . , , . , , , , .

, u(t) u(tj), tj(j=1,2,..., Ν) . (t) (2.3) - . (1.11) , 1, c2,..., cN u(tj)[ξj(t) = d(t - tj)] Δu(tj) = u(tj) u(t tj)[xj(t) = d(t - tj) - δ(t - tj-1)].

- , . , , . , , .

tj = tj tj-1 . , . . , , . , .

, , , .

u(tj) u(t) tj, N- .

, .

 

2.3.

 

, , : , , .

αj .

, , , u*(t).

u*(t) () .

, , .

, , , . , , - , .

u(t) , .

(2.4) . τj, , (2.4), . .

 

2.4.

 

. . u*(t) u(t).

, , :

dm ; Δi ; du(t) = u(t) u*(t) .

, u(t)

u*(t):

, , , , , , .

:

s ; σ .

σ .

, .

e - ; ε .

, ρ , d(t) d0:

 

2.5.

 

, . .

, , , .

, . . .

. ,

, . , t0<<T, τ0, . . , . , .

n- . , u(t), (n+1) . (n+1)- . .

, , , , , .

. . , .

.

2.6. .

 

. . . . , * [11].

, ,

. , . : u(t), , 0 Fc = wc/(2p), ,

. , , ( ). ω1 , (. 2.2, ). w2 (. 2.2, ) w3 (. 2.2, ) . u(t1) u(t1+ t) Δt , , Δt ().

. u(t), , S(jw),

wc u(t).

(2.13),

 

tn = nΔt = np/wc, n , u(t)

S(jw) - wc +wc , 2wc (. 2.3):

(2.15) (2.16),

S(jw) :

, n, n :

(2.14), :

, :

:

(2.18),

, u(t) , tn = n t = np/wc.

k n

u(k) tn = n t , .

u(t) (2.19) ( ) (1.1). Ck u(n t) u(t).

.

n = 0 n = 1 . 2.4. ψn(t) , , t = n /wc; . t=rp/wc, k n, . , :

() Fc -, tn = n t , u(n t).

 

(Sn(w) = 0 |ω|>ω = 2pF).

, , :

, .

2.1. Δ<

(1.60) η = 0,95. (1 42)

, (1.60).

,

 

2.7.

 

(2.19) (2.23), , . , .

. ( ) ( ).

u(t) .

u(t) Δt u(n t) δ- n τ, Αnτ, u(nΔt). , Fc. u(t).

, , .

-, , , .

Fm. . 0 Fm, (8095%). , , .

γ

e ; .

, , , . , , 2FcT. , (. 2.5). , , [19].

. . , .

, .

-, . , , . , , -, , . (. 2.5) , , , , , , .

, , .

, .

 

2.8.

 

u(t) (n+1) , n- . . . ε0.

du(t) u(t) u*(t) Ln(t):

, Ln(t) e0.

ε0 , , . , (, ).

. , .

.

Ln(t)

Mn+1 (n+1) - u(t).

2.2. .

u*(t) t j- tj-1 tj, u(tj) (. 2.6). (2.27) :

. ε0. , :

u(t) ,

( 2.7).

2.3. .

u(t) [tj-1, tj] u(tj) u(tj-1). (.2.8) L , .

. :

un(t0) n- U(t) t0.





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