, , , .
.
() .
2.3.1
( (15),(16)):
(17) |
:
(18) | |
(19) | |
(20) |
, wn = nw1, n = 0, 1,. (w1) . , .
n jn. :
(21) |
:
(22) |
.
(. 19). , .
. 19. |
2.3.2.
, . [-T/2,T/2]. :
(23) |
:
(24) | |
(25) | |
(26) |
, , , , .
2.3.3.
S(t) . , . S(t), (23).
. :
1) nw1 (n+1)w1 nw1 w .
2) n ( ) - Ү¥ .
|
|
3) Dw0 w0. N , (N=Dw/w1=DwT/2p ).
4) , . Dw:
(27) |
(28) |
S(t) ( ).
S(w0)=S(2pf0) , Df DAf0 f0.
, , S(t):
(29) |
: , S(t) S(w),, , , :
(30) |
, , .
, (, . .), , . , .
(). .
. . , s(t)=Sm Sin(w0t+j0). (, , ) , , . , (, , ) () .
2.4.1. ()
.
:
(31) |
, S(t) Cos(w0t+j0), , . . :
|
|
(32) |
S(t) , , S(t) .
. : S(t)<<1. . S(t)>1 , .
, W<w. S(t)=1 . 20, S(t)>1 . 21.
. 20. S(t)=1 |
2.4.2.
, .
s(t) = SmSin(w0t + j0) = SmSiny(t) - t=t1 t=t2 y(t2) - y(t1) = (w0t2 + j0) - (w0t1+j0) = w0(t2 - t1). - .
w0={y(t2) - y(t1)}/{t2-t1}, .
. 21. S(t)=1.4 |
, :
(33) | |
(34) |
(33), (34) , t:
(35) |
, , , y(t) :
(36) |
(34), (35), , . , :
(37) |
w = 2pf ( ); w0 , W .
(37) (35):
. | (38) |
, (36):
(39) |
, .
, wCosWt ( w/W)SinWt. (40).
(40) |
. 22.
. 22. |
3.
, , .
, , , .
, (. 23).
. 23. |
U(t) (, ) U(t) :
|
|
(41) |
D D , (, , , . .).
() D, D.
.
2.1.1.
, , t0.
(42) |
( (41,42)), ( ).
3.1.2.
.
:
(43) | |
(44) |
a , .
, (43,44), .
, .
3.1.3.
.
( ) , . () ( ) . . .
, , .