,,,
,
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 |
, :
(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 |
. =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. , - .
, .
, .
( ), , , .
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