{jj(t)} - .
.
(2.3) (2.4) , [ξj(t)φj(t)] , .
.
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, . , , , .
, . , . .
, , , , . jj(t) . k .
. , . , , , . , , . , , , -, (1.95). , , .
, . (. 1.3).
, . , , . , , , , .
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, 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) () .
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, , , . , , - , .
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.
, . .
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, . . .
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n- . , u(t), (n+1) . (n+1)- . .
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. . , .
.
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 ().
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. 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), , . , .
. ( ) ( ).
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u(t) .
u(t) Δt u(n t) δ- n τ, Αnτ, u(nΔt). , Fc. u(t).
, , .
-, , , .
Fm. . 0 Fm, (8095%). , , .
γ
e ; .
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. . , .
, .
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, , .
, .
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.