(1.14) φ(kw1) φk,
,
. (1.23) (1.24) . , . , , . . , .
, () . , ωι. , , . . 1.4. A(t) , kw1 A(kw1) ω, ω = kω1 k- .
1.1. τ u0, ω1 = 2π/Τ (. 1.5).
u(t), , :
(1.16)
, , 0/2,
k = , 1, 2,....
.
ω = 0
sin / . , 2π/τ, .
. 1.6
Τ/τ = 3[ω1 = 2π/(3τ)]. . , ω1.
(1.29) , sin(kw1 /2) Δω = 2π/τ , :
n ω = 2π/τ, ω = 0.
. , Δω = 2π/τ . (Τ/τ = 3, t1 = 0) . 1.7.
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1.2. , .
, τ . t1 = 0.
(1.32) , (1.30) (1.33) . . 1.1. . 1.1 , .
1.1
, (. 1.8), .
, , .
. , u(t) . u(t) 1 . WT, , ,
u(t) (1.15),
(1.35):
A(jkw1) (-jkw1) ,
(1.28) (1.29) WT :
(1.38) , , 1 ( ).
, :
, , , , .
1.3. , , 1 , 1.2 .
(. . 11). (1.39), 5 , ,
τ= /2 0,5 , 96% .
, , . (. 1 2), .
. . , , , . .
M .
(1.2). , , u1(t) .
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(1.30), , (1.27) . , .
u(t) u1(t) .
u1(t) (1.15) (1.16):
T u1(t) u(t), ω1 dw, kw1 ω. ,
S(jω), :
S(jω) . [/]. . (1.15) (1.42), , dω dA(jw):
(1.41) u(t), , (1.17) , , , :
. (1.44) , , (1.18) (1.24).
S(ω)= |S(jω)| .
, . :
S(ω)
.
S(jω)
(1.42) (1.43) , A(ω) , B(ω) , φ(ω) .
:
.
- , .
1.4. , (. 1.9):
(1.41)
:
(. 1.10), [. (1.44)], , (. . 1.6).
1.5. - [. (1.10) . 1.3].
Sd(jw) -, :
(1.11)
, - , (. 1.11). ξι = 0 .
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. u(t), 1 .
,
, (1.54) , S(ω) u(t).
, - S(jω) u(t).
(1.42)
(1.56) . , , , , .
(1/π)|S(ω)|2dω, , , , ω ω + dω.
1.5.
(. . 1.10), , τ 0 ( -) , . . , t ω .
u(t) u( t), λ>1 λ . , u(t) S(jω), S (jω) u( t):
=λt.
, λ λ . l/λ S(jω/λ) .
, -, , : , , , , .
Δt ; Δf ; , ( =1).
, , (, ), .
, , . - , , . , w , .
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, t0 = ,
η , 1 ( 0,9 0,99 ).
(1.56),
1.6.
, , , , , .
(1.54) . . ,
. . Ρk(ω):
k , u(t), .
, , [. (1.38)]. . , .
Ρk(ω) u(t), (T<.t<T). (1.56). (1.62) (1.56)
, .
(. 1.11), , , .
1.7.
: . , u(t), . , , .
, , . . . . :
r(t), , . u(t), t, . , .
:
1.6. u(t) = u0 cos(wt-φ). (1.64)
, ru(t) φ , , (1.66) , .
1.8.
. , . , , .
. , , . . .
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, . , . , , . , , , .
, ( ), .
() U(t), . , , . , , . , , . , , .
, , : , U(ti) ti.
U(ti). , , , . , .
, , . , .
. 1.1.
, , , , . . 2.