-
.14. :
f ≥ 2,3∙f2 =2,3∙6,495 ≈ 14,938
:
f1 = f/π ∙tg[(f1∙π)/ f)] = 14,938/3,14∙tg[(3,94∙180)/ 14,938] = 5,185 ;
f2 = f/π ∙tg[(f2∙π)/ f)] = 14,938/3,14∙tg[(6,495∙180)/ 14,938] = 22,882 ;
19 -
) ;
) .
-:
Ω2 = f2 /f1 ≈ 4,413.
:
n ≥ [A2 10 lg(100,1A1-1)]/(20lg Ω2)
:
n ≥ 4,28.
, n = 5.
. , .
, , .
:
= ε 2 =100,1A1 -1= 0,033.
20 Cn
- 5- :
1 = = - 0,309 + j0,951,
2 = = - 0,809 + j0,588,
3 = = - 1,
4 = = - 0,809 - j0,588,
5 = =- 0,309 - j0,951
- :
( 1)( 5) = 2 + 0,618 +1,
( 3) = +1,
( 2)( 4) = 2 + 1,618 +1,
= 1 :
() =
≠ 1 :
() = .
δ :
δ = 2n √(1/) = 12 √(1/0,033) = 1,408.
:
() = .
z-, :
ω = 2πf1=2∙3,14∙5,185 = 32,577
, .
:
x = (1 z -1); x2 = (1 - 2 z -1 + z -2);
y = (1 + z -1); y2 =(1 + 2 z -1 + z -2);
xy = (1 z -2). :
() = .=
= .=
= = =
= =
= =
= ∙ ∙ =
= =
= =.
:
(z) = .
:
1(z) = ;
Y(z) = 0,134X(z) +0,134 z -1 X(z) - 0,211z -1 ;
|
|
y(n) = 0,134x(n) +0,134 x(n-1) - 0,211y(n-1);
2(z) = ;
Y(z) = X(z) +2 z -1 X(z) + z -2 X(z) - 0,63 z -1 Y(z) -0,559 z -2 Y(z);
y(n) = x(n) +2 x(n-1) + x(n-2) - 0,63 y(n-1) -0,559 y(n-2);
3(z) = ;
Y(z) = X(z) +2 z -1 X(z) + z -2 X(z) - 0,464 z -1 Y(z) +0,149 z -2 Y(z);
y(n) = x(n) +2 x(n-1) + x(n-2) - 0,464 y(n-1) +0,149 y(n-2);
22 6-
23 6-
. :
(z) = =
=
z = ejΩn :
(ejΩ) = =
=
.
:
A = 0,134[1+5cos(Ω) + 10cos(2Ω) + 10cos(3Ω) +5cos(4Ω) + 1cos(5Ω)];
B = 0,134 [-5sin(Ω) - 10sin(2Ω) -10sin(3Ω) - 5sin(4Ω) - 1sin(5Ω)];
D = 1 + 1,305 cos(Ω)+1,231 cos(2Ω) + 0,797 cos(3Ω) + 0,183 cos(4Ω) + 0,052 cos(5Ω);
F = -1,305sin(Ω) 1,231sin(2Ω) 0,797sin(3Ω) 0,183sin(4Ω) 0,052sin(5Ω).
A, B, D, F MathCad, :
Ω = 2πf1/f = (2∙180∙ 3,94)/14,938 = 94,952
A=-0,157; B=0,528; D=0,429; F= - 0,487;
(Ω) = = 0,849.
θ(Ω)=arctg(A/B) arctg(D/F) = -0,433 .
π/2 π/2.
π π:
X=π/2+arctg(B/A)=0,289;
Y=arctg(F/D)=-0,849
θ(Ω)=x-y=1,138
: z-.
(Ω)≈ H(f)
, .