( ). :
t . x(t), , - x(p) - x(t) .
, t < 0. x(t) 1(t). , x(t) , , .
.
.
˳ | ax(t) x1(t) x2(t) | aX(p) X1(p) X2(p) |
( ) | X(p)*pk | |
( ) | ||
( ) | X(pTm)*Tm | |
( ) | ||
:
x(t)
t X(p)
p, X(p) .
, , .
(2), , . , :
D(p)Y(p) = K(p)X(p) (3)
D(p) = a0pn+a1pn-1+.+an
K(p) = b0pm+b1pm-1++bm
г (3) (1) :
y(t)=Y(p), x(t)=X(p)
W(p)
, (2), , x(t), .
p .
|
|
.
1. ' , , .
2. - , .
3. - , .
4. p . p, W(p) , , - . - K(p), - D(p). , . , :
- K(p) ( W(p));
- D(p) ( W(p)).
5. ' :
, . , , , .
Xm:
ϳ , (t) w, ym, :
- .
Xm ( 0 ), , ym j . , , ym j . , ym j w .
( - ) A(w).
( - ) j (w).
, . ym/xm. , .
' - - ( ). W( jw) jw, A(w), j(w). w i W(jwi), , (wi) j(w i).
|
|
W(jw) , . .
W(jw) P(w) Q(w) .
ij P(w) - , Q(w) - .
= jw:
W(jw) =
W(jw) :
- W(jw) = (w)jj(w)
- W(jw) = P(w) + jQ(w)
- W(jw) = A(w)cosj(w) + jA(w)sinj(w)
' :
(w) = |W(jw)| =
j(w) = argW(jw) =
, . . , , . , . , ' , .
. - , ' wi 10*wi. ³ , , 1.
:
L(w) = 20lgA(w).
() ().
- .
() 10 , 1 . , ' 2.