-
, ,
, -
.
-
y(t), -
x(t).
x(t ) xmax sin t; |
(2.54) |
|
|
y (t ) ymax sin( t ), |
|
xmax, ymax – , – |
, |
– .
( ) – -
A = ymax/xmax ( . 2.10, ).
( ) –
. 2.10, ).
( ) –
, [+1; j]
( . 2.10, ), -
. -
Ai , i .
.
) |
) |
) |
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. 2.10. :) ; ) ; )
–
, ( . 2.11).
35
L,
20lgK
lg
, |
0 |
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|
lg
. 2.11.
– L = f(lg ), – = f(lg ).
L lg :
lg b , 10b ; |
(2.55) |
L 20 lg A . |
(2.56) |
L [ ].
– , -
.
1 = 10 – 10 . 2 = 20 – 100 ;
3 = 30 – 1000 .
lg [ ].
– ,
10 .
-
.
– , -
( ).
-
:
L = 20lgK lg = 0 ( = 1) – ,
K – ;
36
0 – ,
;
– – L ;
[ ].
2.10.
-
. -
, . .
Y(p) X(p)
:
W ( p) |
Y ( p) |
. |
(2.57) |
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X ( p) |
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-
|
B( p) |
|
b p m b p m 1 |
b p m 2 |
... b |
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||
W ( p) |
|
|
0 |
1 |
2 |
m |
, |
(2.58) |
|
a0 p n a1 p n 1 |
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|
A( p) |
|
a2 p n 2 ... an |
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B(p) = b0 pm + b1 pm-1 + b2 pm-2 + … + bm – ,(p) = a0 pn + a1 pn-1 + a2 pn-2 + … + an – .
,
n. (2.57) , -
Y(p) = W(p X(p). |
(2.59) |
X -F ( . 2.1) ( )
:
F(p) = 0, A( p) Y ( p) B( p) X ( p) ;
X(p) = 0, A( p) Y ( p) Q( p) F ( p) .
, , -
,
WX |
( p) |
Y ( p) |
|
B( p) |
; |
(2.60) |
X ( p) |
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A( p) |
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37
WF |
( p) |
Y ( p) |
|
Q( p) |
. |
(2.61) |
F ( p) |
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A( p) |
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(2.60)
, (2.61) -
.
(2.60) (2.61).
2.11.
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.
:
;
;
.
,
.
.
, -
-
.
,
.
,
. -, .
:
;
;
;
;
;
;
.
38
x K . K -
. -
,
.
:
= K· . |
(2.62) |
|
(2.63) |
W(p) = K. |
|
( . 2.12, ) |
|
h(t) =K 1(t). |
(2.64) |
( . 2.12, ) |
|
A K ; |
(2.65) |
L 20 lg K ; |
(2.66) |
0 . |
(2.67) |
, [+1; j],
, ( . 2.12, ).
|
h(t) |
) |
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K |
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x = 1(t) |
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L, |
0 |
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t |
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) |
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jV( ) |
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20 lg K |
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0 |
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lg |
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K |
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, |
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0 |
U( ) |
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0 |
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lg |
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. 2.12. :) ; ) ; )
39