. (, ) , .
, .
, ( ), .. ym-1 = m.
n :
W(p) = y(p)/x(p) = W1(p)∙W2(p) ∙∙Wn(p). (1)
p = jω, .
= W(jω) = W1(jω)∙W2(jω) ∙∙Wn(jω) = H(ω)∙exp[φ(ω)] =
= H1(ω)∙H2(ω) ∙∙Hn(ω)∙expj[φ1(ω) + φ2(ω) + + φn(ω)]. (2)
= H(ω) = H1(ω)∙H2(ω) ∙∙Hn(ω). (3)
= φ(ω) = φ1(ω) + φ2(ω) + + φn(ω). (4)
= L(ω) = 20lgH(ω) = 20 . (5)
, - , - .
.
:
W(p) = . (6)
ξ 0,5 <ξ< 1 ( ξ ).
. ( + 1) ω = 1/ 20 /, ω = 1/, 20/. (22 + 2ξ + 1) ω = 1/ 40 /.
:
1) . , , 1 > T3 > T4 > T2 > T5:
ω1 = 1/1; ω2 = 1/3; ω3 = 1/4; ω4 = 1/2; ω5 = 1/5;
2) ω = 1 L(1) = 20lgK, . , 20∙m /, m ( (6) m = 1).
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3) , .
:
φ(ω) = - 90 + arctg(ωT1) + arctg(ωT2) - arctg(ωT3) - arctg - arctg(ωT5)
, , ( ). n , : = 1 = 2 = i = = n, = .
, :
y(p) = x(p)∙ ,
: W(p) = y(p)/x(p) = . (7)
, .
W(p) , , g(t), , , h(t) , n , :
g(t) = ; h(t) = . (8)
( ) , , , .
:
y(p) = W1(p)∙[x(p) xoc(p)]. (9)
:
xoc(p) = W2(p)∙y(p). (10)
(10) (9), :
y(p) = W1(p)∙[x(p) W2(p)∙y(p)] (11)
(11) y(p):
y(p)∙[1 + W1(p)∙W2(p)] = W1(p)∙x(p). (12)
:
() = W1(p)∙x(p)/[1 + W1(p)∙W2(p)] = W(p)∙x(p). (13)
W(p) (13):
W(p) = ()/() = W1(p)/[1 + W1(p)∙W2(p)] (14)
:
W(p) = ()/() = W1(p)/[1 - W1(p)∙W2(p)] (14)