. , , ,

,,,

,

N0 - ; - ; u(t) - ; s(t) - ;

(1) u(t) s(t) . (1), . , (1) u(t) . .

.

s(t) - Fs(jw); n(t) Fn(w).

.

t0.

K(jw) - - .

t0

(4) (6) Fs,(jw) Fn,(w) .

(5) (6) t0

, , . , /.

-

(w) (w), (8) . , (8) ,

- ; * (w) - , - (w). (8)

, ,

Fs*(jw) - - .

- , (12), , .

(12) , : , . , . , / , .

, N0/2. -

/

- .

(13), .

/ (14) . / . , , , .

-

|Fs(jw)| j(w) - .

,

|K(jw)| - - ; Y(w) - .

(15) (16)

(17) , .

. - j(w) , . . t=t0 , , . , , .

- wt0 t0. , t0 .

(19) , . , .

u(t) t=t0.. , t0 , .. u(t) .

h(t) . , h(t) K(jw) ,

(20) , ts(t) t=t0/2 (.1).

1

h(t)=0 t<0, ,

s(t0-t)=0 t<0 (21)
s(t)=0 t>t0
(21) , t0 tc. t0=tc.

, :

(20)

t=t0

, (24) (1), .. , , . , - .

t=t0, (23)

.. .

, , . , s(t), , (20), , s(t-t1), s(t) t1. .

-

-. . -, , .

x1?x2...xn,...xi,...xL,

ai G(0,1....p-1), . n - , - , L, xL+i=xi - , . .

(25) . ai , , MOD 2,

00=0 01=1
10=1 11=0
, n ,.. (25)

. =2, n=4, 1111, x1=xi-3xi-4. x5=x2x1=11=0, x6=x3x2=11=0.

(25) , . , n , , .

. 2 .

2

n , ,

si - i- (i- ), 0 1. , .

, .

. sn, sn-1,...s1 x1, x2,...xn. . x1 , . sn, sn-1,...s1 x2, x3, x4,... xn+1,

sn, sn-1,...s1 x3, x4,...xn+2. .

. sn, sn-1,...s1. , , , . 2n-1 n - . 2n-1 , -. xi=aixi-1...anxi-n , f(x)=anxnan-1xn-1...a1x1

, n , j(L) - , L>0 , L L, .

n=5:

f1(x)=x5x31,

f2(x)=x5x21,

f3(x)=x5x4x3x21,

f4(x)=x5x4x31,

f5(x)=x5x4x21,

f6(x)=x5x3x21.

-.

, f(x)=x5x31 xi=xi-3xi-5.

, f(x), .

, - , .

1. - 2n-1 n - , .

2. , , , . , - - .

3. - , i , i=1,2,...L-2, , ,

. 3

3

, - 111100010011010, 111..., , .

(. 4) , , , () , t0 - .

4

t0. , - .

, .

, .

( ), , , .



, N0 -

 

 

 

! , , , .
. , :