. 1
1
.
1. .
.
:
- - ;
- ;
;
;
.
W(jω), W(p) p jω. (ω) φ(ω), :
W(jω) = (ω)∙jφ(ω) = N(ω) + jM(ω). (1)
: (ω) , ;
φ(ω) , ;
N(ω) = (ω)∙cosφ(ω) ;
M(ω) = (ω)∙sinφ(ω) ;
ω , .
.
.
W(jω) = K/(1 + jωT) = 
= 
.
(ω) = 
; φ(ω) = arctg(ωT);
N(ω) = K/[1 + (ω∙T)2]; M(ω) = K∙ ω∙T/[1 + (ω∙T)2]. (2)
φ(0) = 0o; (0) = K; N(0) = K; M(0) = 0;
φ(ω = 1/T) = 45o; (T) = K/√2; N(T) = K/2; M(T) = K/2;
φ(ω → ∞) = 90o; (∞) = N(∞) = M(∞) = 0.
.
W(jω) = K/jω = K∙e 
/ω;
(ω) = K/ω; φ(ω) = 90o;
N(ω) = 0; M(ω) = K/ω; (3)
φ(0) = 90o; (0) = ∞; N(0) = 0; M(0) = ∞;
φ(ω → ∞) = 90o; (∞) = N(∞) = M(∞) = 0.
2
.
1.
, . , .
|
|
|
, , :
an∙y(n) + a(n-1)∙y(n-1) + ∙∙∙ + a0∙y = bm∙x(m) + b(m-1)∙x(m-1) + ∙∙∙ + b0∙x (1)
(1) , . , (1) :
an∙y(n) + a(n-1)∙y(n-1) + ∙∙∙ + a0∙y = 0 (2)
: y(t) = 
, (3)
Ci ;
pi , (2) :
an∙(n) + a(n-1)∙(n-1) + ∙∙∙ + a0 = 0 (4)
, (3) . , :
y(t) → 0, t → ∞.
, (3) . , . . , :
1) pi (pi< 0);
2) pi,i+1 = α +_ jβ, (3) :
Cie(α + jβ)t + Ci+1e(α - jβ)t = Cieαt∙ejβt + Ci+1eαt∙e jβt =
= Cieαt∙[cos(βt) + jsin(βt)] + Ci+1eαt∙[cos(βt) - jsin(βt)].
α< 0 Ci = Ci+1 y(t) .
, . .. .
, y(t) , .
(pi= 0), y(t) Ciepit = Ci, . .
. . , , , .
|
|
|
1
, , (), . , [1 2] [3].
, .
: 297210 . . , , , . 4 . , , .
, . . . , . , . , . , , . , .
.
