(. . 3). . , . n > () .
(7.1)
Rk =1, (7.1) , . , .
, . , . , (. . 9) , ( 30 137 ). .
, . , . 7.1.
, . .
() K n. . , () , , , . , [43-46].
, , k- = (1, 2,..., ) j =0,1
1/ , = 2, () ,
( ), . yj,sj,ej 0 1, "+" . t (.. 1 , , , ). ( ) , Y , , . , Y Y + .
|
|
. , - . - , . , , , , , -, - (PC).
n( , ) K ( ) - - ( ), (7.1) (n, ).
n, , , - , . d0 - . d0, , () ,
, ,
() - . ,
- t -
t >t ,
, , . , , ( ). , -, , - , 2 , - .
bj, , , bj =a1+a3+a6. 2 1, 3, 6, bj, 1.
.
G, K ( )
, , (7.2)
; 0 - . .
|
|
7.1. - (8,4)
= (1, 2, 3, 4) - . , = 0110, = 00111100, = 1110 - = 11000011. - = 2k-1 d0 = n/2. - .
0 1 +1 -1 2 +1 -1. (, ), - , ( - ). ( ) IS-95, (. . 11, 12).
.
7.2. (7,4) d0 = 3, 7 3- ,
(7.2) , :
, , . g () n- K. , . , = (1, 2,.., n)
g(), .. c(x) = f(x)g(x), f(x) - . , PC ( ), [43].
n, , . > , ' - . ( ), , . (n-k' + k,k) , , , , , , . , , , .
, . ( ()) n- : a1, a2,...ak, 0,0,...,0, () n-k. () (7.3)
() n - k, .. (). ( 2 ) ()n-k
.
Y (): Y , , . (7.4)
(7.2) .
|
|
S = 0, Y , , = 0. , = 0. (7.2) S = 0 , . . 2k -1. 7.2, , = 1110000 = 0011010 .
S ≠0, ≠0.
- ( CRC - cyclic redundancy code). K (7.3) (), .
' (), '(), .. . , - .
(). , TETRA = 7 = 16.
. . , . , .
. . , . . , (. 6.1).
, , - . , , Y 2n-k , , . 1 (), . (), Y. ( ) 1. . 2n-k -1. . 7.2.
, , = 1, .
n-k ,.
(7.4), , . , . 7.2 , 7 . , = 0010000, S = 101, , = 0010000, .
|
|
, , = 1100000 = 0001010. , . 7.4, - , = 0010000, , 3. .
, , .
, , 256- (15,3) PC , 3G UMTS (. 12.2.11).
, PC , , , , , , . , , , , , . , 7.2 = 1100000 = 0001010 , 1- 2- , - 4- 6-.
GF(q), q = 2 = n + 1 ( ). 7.2
- GF(23).
:
, , , .
. 7.2.
β1, β2,, βt , a{z), , ,
, PC a(z), .. z. .
Y , . . a(z). , , .
PC, GF(2m), - . . , .. - . , .
. () . , .
(, ) Rk =1/n0, 0 - . 0, 0 ( , ) m . m , m + 1 . (, ) 0 , .
|
|
. 0 . n0 , m. , ( ) , (. 7.3). [44].
, .
7.3 (. [44]). Rk=1/2 m + 1 = 3
, ( 2) , 2 , .
. 7.3. , , , .
. 7.4. , . . , . . . , (,- = 0) , , = 1 - . ?0-6, . , , . , 01100 00 11 01 01 11, . 7.4 , .
. , , , , .
( ) , . , ( ). , . , , ( . ), , , 2. 7.3.
, , 10 10 00 00 10 00... 00.... 14 . 7.5. [44].
, . ( 14 ). . , . , , L . L . L , , . L = 15.
, .
. 7.5 , ( 5- 12- ) , , . , .
. . : ( 00000... 10100...). , . .
. , , . .
1. , .
2. , .
3. , , . , .
. , 00. , 10 01 11 10 (. . 7.4). 00 1. , 10, , 11 7. 01, (. . 7.5).
. , 0, , 1, .
, 2 ( ). . , 8 [45].
, , ( ) Y . , (7.5)
, .. j - j.
(7.5)
mj - , , mj =0, j j - [45].
. 7.6 4 , mj 0, 1,2, 3.
. , , j=2, , =0, 2.
j=2 j =1 j=1. n0 . . 2 . , .
-, [37], , 7.3. k N . . N = 2 . 7.7.
1 2 1 2, , 1/3. , , RK = 1/(N + 1).
- , . - / = 2 . 1. 8.
(), , , 1. () 2 . , , , . - , , . 3GPP (. . 12)" .
, .. . ( ) (. . 3), , . L > 1 , . , , [43], , , .
. , , . , . 7.9. , - L , , L . (). , . , .
, , [45].
, J , . 7.10. n≥k/J.
, J (. . 7.9). : Y . . .
. , (j)=C(j) [4]
j = 1 + ((Ji)mod k), / = 1,2,3,...,k.
TETRA, , J = 103, = 412.
, , , . 7.10 , , (. 8.1).