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=16
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = - 16. 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.  2
 +  0.  0.  0.  0.  0.  0.  0. 18
 +  0.  0.  0.  0.  0.  0.  0.  1
 +  0.  0.  0.  0.  0.  0.  0.  3
 +  0.  0.  0.  0.  0.  0.  0. 54
 +  0.  0.  0.  0.  0.  0.  0. 32
 +  0.  0.  0.  0.  0.  0.  0.  2
   1
 +  0.  0.  0.  0.  0.  0.  0. 15
 +  0.  0.  0.  0.  0.  1. 15.  2
 +  0.  0.  0.  0.  0.  0.  0.  2
 +  0.  0.  0.  0.  0.  0.  2.  1
 +  0.  0.  0.  0.  2. 31. 19.  2
 +  0.  0.  0.  0.  0.  0.  1. 48
 +  0.  0.  0.  0.  0.  0.  0. 19
   2
 +  0.  0.  0.  0.  0.  0.  0.  1
 +  0.  0.  0.  1.  0. 15.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  0.  0.  2.  0.  1
 +  0.  2.  0. 31.  0. 19.  0.  2
 +  0.  0.  0.  0.  0.  0.  1.240
 +  0.  0.  0.  0.  0.  0.  0. 31
   3
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  1.  0.  0. 15.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  0.  2.  0.  0.  1
 +  0. 31.  0.  0. 18.255.254.  2
 +  0.  0.  0.  0.  0.  0.  0. 32
 +  0.  0.  0.  0.  0.  0.  0.  2
   4
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0. 15.  0.  0.  0.  1
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  2.  0.  0.  0.  1
 +  0.  0.  0. 16.255.255.255.227
    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. 14.255.255.255.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  2.  0.  0.  0.  0.  1
 -  1.255.237.  0.  0. 30.255.254
    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. 14.255.255.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  2.  0.  0.  0.  0.  0.  1
 +  0. 18.255.225.  0.  2.  0.  2
    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
 + 14.255.  0.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 +  2.  0.  0.  0.  0.  0.  0.  1
 + 18.225.  2.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   8
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  0.  0. 12
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  0.  0.  1
 +  0.  0.  0.  0.  0.  0.  0. 12
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   9
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  0.  0.  0.241.  2
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  0.  1.255
 -  0.  0.  0.  0.  1.225. 18.254
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  10
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.  0.  0.255.241.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  0.  1.255.255
 -  0.  1.255.225.  0. 18.255.254
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  11
    0.  0.  0.  0.  0.  0.  0.  0
 +  0.  0.255.255.241.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  0.  1.255.255.255
 +  0. 30.255.255.237.  0.  2.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  12
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0. 14.255.255.255.255
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  0.  1.255.255.255.255
 -  0.  0.  0. 17.  0.  0.  0. 29
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  13
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0. 15.  0.  0.  0.255.254
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  0.  1.255.255.255.255.255
 +  1.255.236.255.255.225.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  14
    0.  0.  0.  0.  0.  0.  0.  0
 -  0. 15.  0.  0.255.255.255.254
    0.  0.  0.  0.  0.  0.  0.  0
 -  0.  1.255.255.255.255.255.255
 -  0. 19.  0. 31.  0.  1.255.254
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  15
    0.  0.  0.  0.  0.  0.  0.  0
 - 15.  0.255.255.255.255.255.254
    0.  0.  0.  0.  0.  0.  0.  0
 -  1.255.255.255.255.255.255.255
 - 19. 31.  1.255.255.255.255.254
    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