Таблица F6.A-1.4. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.4 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T= 8
в поле Галуа

GF( 1 + 226 ) = GF( 1 + 264 ) = GF( F6 )

в (A-1)-арифметике, T–1 = 1/T = - 32. 0. 0. 0. 0. 0. 0. 0
Результаты в A-арифметике в 65-битовых числах = ПСАНВ± mod F6, т.е.
в диапазоне [–263..+263]

t
(r)X[t] – вх.Сигнал
(r)X[f]=ЧПФ((r)X[t])
(r)H[t] – вх.Сигнал
(r)H[f]=ЧПФ((r)H[t])
(r)E[f]=(r)X[f]·(r)H[f]
(r)E[t]=оЧПФ((r)E[f])
(r)G[t]=(r)E[t]/T mod F2
   0
 +  0.  0.  0.  0.  0.  0.  0. 32
 +  0.  0.  0.  0.  0.  0.  0. 63
 +  0.  0.  0.  0.  0.  0.  0.  1
 +  0.  0.  0.  0.  0.  0.  0.  3
 +  0.  0.  0.  0.  0.  0.  0.189
 +  0.  0.  0.  0.  0.  0.  1.  0
 +  0.  0.  0.  0.  0.  0.  0. 32
   1
 +  0.  0.  0.  0.  0.  0.  0. 64
 -  0.  0.  0. 32.255.191.255.224
 +  0.  0.  0.  0.  0.  0.  0.  2
 +  0.  0.  0.  0.  0.  2.  0.  1
 -  0. 65.255.160.255.127.255.224
 +  0.  0.  0.  0.  0.  0.  4.  0
 +  0.  0.  0.  0.  0.  0.  0.128
   2
 -  0.  0.  0.  0.  0.  0.  0. 33
 +  0.  0.  0. 64.  0.  0.  0. 65
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  2.  0.  0.  0.  1
 +  0.  0.  0.193.255.255.255.193
 +  0.  0.  0.  0.  0.  0.  2.248
 +  0.  0.  0.  0.  0.  0.  0. 95
   3
    0.  0.  0.  0.  0.  0.  0.  0
 +  0. 64.  0. 33.  0.  0.  0. 32
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  2.  0.  0.  0.  0.  0.  1
 +  0.127.255.160.255.190.  0. 32
 -  0.  0.  0.  0.  0.  0.  2. 16
 -  0.  0.  0.  0.  0.  0.  0. 66
   4
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  0.  0. 65
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  0.  0.  1
 +  0.  0.  0.  0.  0.  0.  0. 65
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   5
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0. 33.  0. 63.255.224
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  1.255.255
 +  0. 66.  0. 94.255.128.  0. 32
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   6
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0. 63.255.255.255.191
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  1.255.255.255.255
 -  0.  0.  0.194.  0.  0.  0. 63
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   7
    0.  0.  0.  0.  0.  0.  0.  0
 -  0. 63.255.222.255.255.255.224
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  1.255.255.255.255.255.255
 -  0.128.  0. 94.255.189.255.224
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0




© 2006 г., Александр Тимофеев, г.Харьков, Украина. E-mail: atimopheyev@yahoo.com