ЦСАУ

21

-

.

-

.

.

, 8-

–

:

	N max	2 0		2 1 2 2		2 3			1			1			1		15		7	.
												2 2
	:							2					2 3				8
	0	1		1		1		1				1		1				1

-

.

, -

. , -

0,5 1. , 8- , -

m =5 , n = 3

, -:

N max		(1 2 ( m 1) )2( 2( n 1) 1)				(1		1	)23	7.5 .
						16
:
0		1	1	1	1		0			1		1

, , -

, 8- -

22

4- – , -

:

0 99 (

).

-

. -

-

.

n-

1/2 ( ),

– 2–n . , 3- -

:

	0	1/8	1/4	3/8	1/2	5/8	3/4	7/8
	0.000	0.001	0.010	0.011	0.100	0.101	0.110	0.111

, .

( 2.1).

7/8

3/4

5/8

1/2

3/8

1/4

1/8

	0,000													.
	0,001	0,010		0,011		0,100		0,101		0,110		0,111

2.1

23

, -

, ( )

2n 1/2n.

. -

. , -

,

.

.

-

,

. ,

, , -

, -

, q = 1/2n . -

2.2.

, , , ,

.

q

q /2

–3/2q

– q

q /2

3/2 q

– q

2.2

24

q -

. -

. ,

q/2

, q.

,

, (1– 2–n) , n – .

, , q/2.

q/2.

, -

-

-

.

, , -

, ( )

.

. -

– ( )

.

,

,

: (

), (

), ( -

), , , -

.

– -

, .

2.2.1

-

.

25

,

.

, -

. , , -

. -

,

, -

, -

, -

-

. ,

.

,

. ,

, , -

.

( -

– , , -

). , -

, , -

, , ,

.

,

.

2.2.2

p . , -

f(t), f *(t) –

p f(t)

. 2.3, ).

,

f(t) (t) – -

( . 2.3, ) f *(t)= f(t) (t).

26

f(t)

t

(t)

fp*(t)

)

			p(t)
	f(t)				fp* (t)
			-

)

2.3

27

-

, -

– – .

.

, :

p(t) ( 1(t kt) 1(t kt p)), p T ,

k

1(t) :

1,		t 0;
1l(t)		t 0.
0,
:
f p* (t) f (t) p(t) f (t) (1(t kt) 1(t kt p)).			(2.1)

k

-

. p(t) ,

:

p ( t ) C n e	jn s t	,	(2.2)

n

S = 2 , p(t)

n :

C	1	T	p(t)e jn st dt	1	p e
n	T		T
		0			0

p sin n s p / 2 e jn s p / 2.

T n s p / 2

jn st dt 1 e jn s p

jn sT (2.3)

. , (2.3) -

.

(2.2) (2.1),

, ) -

:

	28
Fp*( j ) F f p*(t) f p*(t)e j t dt Cn f (t)e jn st e j t dt.
	n

, -

, e j st -

s:

F e jn st f (t) F( j jn s ) .

:

Fp* ( j ) Cn F ( j jn s )

n

(2.4)

p sin n s p / 2

( jn s p / 2)

Cn F ( j jn s )

e

F ( j jn s ).

n

n T n s p / 2

. ,

n=0.

p

C0

lim Cn

.

n 0

T

(2.4) n=0:

p

F*( j )

n 0

C F( j )

F( j ).

p

0

T

: ,

, , -

p/T .

n 0 n, (2.3), -

, , , -

, (2.2), p(t), :

	Cn			p		sin n s p /	2		.	(2.5)
				T		n s p / 2

,

2.4, .

Sin ).

29

Cn pT

S

–3 s –2 s – s

s 2 s 3 s

a)

F (j )

– c c

)

Fp*(j )

-3 s –2 s – s

s 2 s 3 s

)

2.4

( -

) , :

Fp*( j )			Cn				F( j jn s)		.	(2.6)

30

,

c c < s/2. ( . 2.4, ), (2.6) (2.5)

2.4, -

:

( ) -

(n=0) , ( ,

, n )

(n = 1, 2, …).

, c s/2

Fp*(j ) (n = 0) -

. -

« »

.

. (2.1):

F*(s) L f *(t) L f (t) p(t) .		(2.7)
p	p

(2.7) , .

F*(s) F(s) P(s),	(2.8)
p

F(s) P(s) (t)

p(t) , * .

p(t) :

		ps
	P(s)	1 e	e ksT .	(2.9)
		s
	k 0

, (2.9) k = 0,

– ,

t 0. (2.9) e–sT < 1.

:

ps

P(s)

1 e

.

(2.10)

sT

s(1 e

)

(2.8) (2.10) :

ps

1

c j

1 e

p(s )

Fp* (s) F (s)

1 e

F ( )

d , (2.11)

s(1 e

sT

)

(s )(1 e

T (s )

)

2 j c j

1 < c < Re s – 2, Re s = max { 1, 2, 1 2},

1 2 – -

F( ) P( ) .