8.
: .
, , z-
(z), (z) - z- ;
W() ;
W() - .
Woc .
, (z) z- , (z) - z- k,
, .
W(z) z = () jω.
W(jω) = A0(ω) exp(jφ(ω)),
A0(ω) , φ(ω) .
(ω), Q(ω) ,
. z = exp(jωT) 2π/T. , W(z) , .
, ω = (0, 2π/T).
. , . , :
, Wp (jω) (-1; j0) ω 0 ∞.
, , Wp(jω) (-∞, -1) s/2 (s ).
|
|
z p (.1.) z. p = jω z- -∞ +∞, .. z = exp(jωT). z (.1.) , . () W(z) . , 1+Wp(z) = 0 |z|<1.
1 p, z, w
| a0|<1.
z2 + a1z + a0 = 0 (1)
1 + a1 + a0 > 0
1 - a1 + a0 > 0
a0<1 (2)
z3 + 2z2 + a1z + a0 = 0 :
1 + 2 + a1 + a0 > 0
1 - 2 + a1 - a0 > 0
1 02 - a1 + a20 > 0.
w-, w.
(3)
z = exp(jωT)
.
tg(ωT/2) ≈ ωT/2 λ = (2/) ∙ (ωT/2) = ω. ω -π/ π/ -∞ ∞, w - j∞ + j∞. (.1,). w- , .
(1). (3)
1 - a1 + a0) w2 + 2 (1- 0) w + 1 + a1 + a0 = 0. (4)
( ), (2), -. w- λ , .
,
2 -
2 , W . W 1/.
z-,
d = (- /1).
, z- z = (-),
z2/z2,
(5)
(6)
(6) , w-
|
|
-
(7)
(7) 1 0,
, k1 ∙ k2 ∙ , /1, 2. ,
, () .
, ,
(8)
1). 1 = 1 = 0,2 d = exp(-/1) = 0,8187, k = 10 (5)
(9)
2). k = 1, 5, 10 (9), .
3 = 1
4 = 5
5 = 10
3). (9) z2
(10)
). , z^-1 = 0,2. z^-1 Blocks-Time-unitDelay 1/z, b pulse train, , , time between Pulses = 0,2. Edit-Creat Compound Block , z^-1.
). slider k, .
5 = 3,3
Variable , . Blocks - Annotation - Variable
variable, Set variable name , , . variable , .
wirePositioner, (plot). Blocks - Annotation wirePositioner.
- ;
- ;
- ;
- .
1). ?
2). , ?
3). ?
4). w- ?
5). -?
6). ?