.

, .

a(t) : , . t

a(t) = a = Amsin(wt+ya),

(1)

Am - ;

w - , [/];

ya- ( , , .. t = 0) [].

wt+ya , . a(t) .

, , f [=1/] T=1/f [] w =2p f =2p /T. wt+ya = 2p(t+yaT/2p)/T. . 1.


,

i = Imsin(wt+yi) ; u = Umsin(wt+yu) ; e = Emsin(wt+ye) .

, .

, i , u e .

m (Im, Um, Em).

.. . . r i. - T, i,

.

I , T . , i = Imsin(wt+yi) :

,

(2)

.. . (2), .

.

(3)

.

. t1 t2

.

, . :

.

(4)

.

(5)



. , .

, . , a(t) = Amsin(wt+ya) Am, w . , t = 0 ya (. 2 ) )).

, , , . , . , , t = 0, .. , .

, (. 2 )). Am :

  1. - Am = p + jq p = ReA q = ImA ( , i , j);
  2. - Am = Am(cosy a+jsin y a) Am y a p= Amcosy a q= Amsiny a ;
  3. - Am = Am e jy a cosy a+jsin y a = e jy a ;
  4. - Am = Am y a .

, .

1.

Am = p + jq

Am=Am(cosya+jsinya)

Am = Am e jy a

Am = p + jq

-

p= Amcosy a

q= Amsiny a

p= Amcosy a

q= Amsiny a

Am =Am(cosya+jsinya)

-

Am = Am

y a = y a

Am = Am e jy a

Am = Am

y a = y a

-

Am . , , A , , . , , , .


a(t) A . , . , .

. , : , .. .

2.

a(t)=Amsin(w t+y a)

A=p+jq=Ae jya

C a(t)= Amsin(w t+y a)

C A=C(p+jq)=C Ae jya

b(t)=a1(t)+a2(t)

B=A1+A2=

=(p1+p2)+j(q1+q2)

b(t)=a1(t)-a2(t)

B=A1- A2=

=(p1- p2)+j(q1- q2)

b(t)=a1(t) a2(t)

b(t)=[a(t)]n

B=An= Ane jnya

B=jw A= w Ae j(y a+p /2)

, , - .

.   . .

. .

, , - . .

jw . 90 .


, . . 2, , . . , , .

1, j , -1 -j . A 3.

E

E A

1

ej0

Ae jy

j

ejp /2

Ae j(y +p /2)

-1

ejp

Ae j(y p )

-j

e- jp /2

Ae j(y - p /2)

, , .


( 20 )

, , , - , , , , -, 2.7º. , (CMB) , 2.7ºK. . . , () . 1933 . . 2.8ºK - . FAQ .


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