ЦСАУ

231

r(t)	e(t)		e*(t)		u1(kT)
			Q1	D(z)	Q2

		u2(t)	W(s)	y(t)
		Q3
	8.4

,

,

. ,

8.5.

8.5 -

, , ( )

:

W0 (s) 1 e Ts . s

-

.

(

)

( ). -

-

232

. -, .

r(t) e(t)	u1*(t)	u1 *(t)	u2(t)	y(t)
	D(z)	Q		W(s)

8.5

, Q -

( -

), -

( ).

, -

, q/2. « » -

, 8.5,

Q

q/2.

8.6.

		q/2
r(t) e(t)	u1*(t)	u1 *(t)	u2(t)	y(t)
	D(z)		W0(s)	W(s)

8.6

233

8.6 z -

:

E(z)

W0W (z)

q 2

z

1 D(z) W W (z)

z 1

0

W (s)

(8.6)

Z

s

q 2 .

1

W (s)

1 (1 z

)D(z) Z

s

z (8.6).

« » -

.

.

, :

1)q /8,

2)u1*(t) –

, ),

= u1* – u *,

– q/2 q/2, , -

p( ) – q/2 q/2:

1										q 2,
p( ) q										(8.7)
								q 2.
0

, ,

3.

, , ,

.

(8.7) , -

:

D 2 p( )d q2 12.	(8.8)

-

,

234

-

N = 2 q2/(12 s). -

, , ,

Su( )=N

( -

s), -

s/2 N. -

:

											s
N ,													,
									2
S p ( )									s
0,												,
									2

Dp D :

D	p		1	N 2	s		q2	D .
			2	2 12

, , 8.5,

( ) , -

8.7.

-

N

r(t) e(t)		u1*(t)	u1 *(t)				y(t)
	D(z)			W0(s)		W(s)

8.7

, 8.7,

. ,

, ,

:

235

		1									1		s		W W (z)			2
													2
De						Se ( )d									0					Nd
		2										2			1 W (z)
													s							z e j T
													2						(8.9)
			s							2
	q2						W W (z)
					2
							0						d ,
	12 s							1 W (z)
					s						z e j T
					2

W0W (z) Z W0 (s) W (s) (1 z 1 )Z W (s) ,

s

W(z) = D(z) W0W(z).

(8.9) -

w		:
	e j T z											1 j w							.					(8.10)
												1 j w
(8.10),
d :		2									d w
	d																	.						(8.11)
			T							1 j w					2
(8.11) (8.9) -
w, :																	2
	q2				W W ( j								w	)						1
De							0																d w.	(8.12)
	12				1		W ( j w )													1 j w		2

,

, (8.12) -

.

8.4

, -

. -

, -

( ).

236

,

, ( ) -

( ) ( -

),

.

, -

( )

).

– ,

-

( –

). , -

,

, . -

– :

T T

T ,

(8.13)

T

– .

:

2

2 T T

T

,

(8.14)

N

T

N = /(2T) – , N = 1, 2, …

-

: -

, ( N). -

,

(

).

237

-

y = (x). -

:

N 1

2

j

n

K * ( A , , N )

f A cos

n

e

N

.

(8.15)

N

A N n 1

,

8.5,

-

( . 8.8, ).

W(z)

W(z)

– 1

– 1

Q

K*

)

8.8

)

8.8 W(z)

-

:

W (s)

1

W (z) D(z) W0W (z) (1 z

)D(z)Z

.

s

Q,

( . 8.8, ),

(8.15).

.

, , -

,

(– 1; j0),

:

238

K * ( A , , N ) W j

1,

(8.16)

N

z = e j T,

W j

W (z)

( (8.14)):

N

=

/T,

= /N.

(8.16) :

1

W j

M * ( A , , N )

(8.17)

K * ( A ,

, N )

N

.

W(z) z

z = 1 ( , , W(e j T)

s s ). = /N

2 2

(N = 1, 2, …), -

,

.

– M*(A , , N) N ( . 8.9, , ).

-

.

, 8.9, ,

= /4 ,

W(j ), (N=4), -

– M*(A , , 4) .

8.9, , , -

						– M*(A , , 2) (
		W	j
				2

, ', ).

, 1 > 2.

, -

, , .

239

- M*(A , , N)

N = 2

2 2

A 2

4

'

A 1

1

0

- M*(A , , N)

N = 4

2

2

4

1

0

Im

Re

W ( j )

)

Im

Re

W ( j )

)

8.9

240

(8.15) 8.3

( . 8.10).

q

q

q

3q

q

5q

.

.

…..

8.10

, -

-

, (

) , , .