Таблица F5.A-1.4. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.4 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=32
в поле Галуа

GF( 1 + 225 ) = GF( 1 + 232 ) = GF( F5 )

в (A-1)-арифметике, T–1 = 1/T = - 8. 0. 0. 1
Результаты в A-арифметике в 33-битовых числах = ПСАНВ± mod F5, т.е.
в диапазоне [–231..+231]

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.  2
 +  0.  0.  0. 18
 +  0.  0.  0.  1
 +  0.  0.  0.  3
 +  0.  0.  0. 54
 +  0.  0.  0. 64
 +  0.  0.  0.  2
   1
 +  0.  0.  0. 15
 +  0.  0.  0. 78
 +  0.  0.  0.  2
 +  0.  0.  0.  9
 +  0.  0.  2.190
 +  0.  0.  2. 96
 +  0.  0.  0. 19
   2
 +  0.  0.  0.  1
 +  0.  0.  1.242
    0.  0.  0.  0
 +  0.  0.  0. 33
 +  0.  0. 64. 50
 +  0.  0.  3.224
 +  0.  0.  0. 31
   3
    0.  0.  0.  0
 +  0.  0. 19.194
    0.  0.  0.  0
 +  0.  0.  0.129
 +  0.  9.244.194
 +  0.  0.  0. 64
 +  0.  0.  0.  2
   4
    0.  0.  0.  0
 +  0.  1. 15.  2
    0.  0.  0.  0
 +  0.  0.  2.  1
 +  2. 31. 19.  2
    0.  0.  0.  0
    0.  0.  0.  0
   5
    0.  0.  0.  0
 +  0. 16. 60.  2
    0.  0.  0.  0
 +  0.  0.  8.  1
 -126. 15.180.  0
    0.  0.  0.  0
    0.  0.  0.  0
   6
    0.  0.  0.  0
 +  1.  0.240.  2
    0.  0.  0.  0
 +  0.  0. 32.  1
 + 31.  1. 47.226
    0.  0.  0.  0
    0.  0.  0.  0
   7
    0.  0.  0.  0
 + 16.  3.192.  2
    0.  0.  0.  0
 +  0.  0.128.  1
 - 15.251. 72.  1
    0.  0.  0.  0
    0.  0.  0.  0
   8
    0.  0.  0.  0
 +  0. 15.  0.  1
    0.  0.  0.  0
 +  0.  2.  0.  1
 +  0. 16.255.227
    0.  0.  0.  0
    0.  0.  0.  0
   9
    0.  0.  0.  0
 +  0. 59.255.242
    0.  0.  0.  0
 +  0.  8.  0.  1
 -  0. 52.  1.239
    0.  0.  0.  0
    0.  0.  0.  0
  10
    0.  0.  0.  0
 +  0.239.255.  2
    0.  0.  0.  0
 +  0. 32.  0.  1
 - 30.208. 30.255
    0.  0.  0.  0
    0.  0.  0.  0
  11
    0.  0.  0.  0
 +  3.191.240.  2
    0.  0.  0.  0
 +  0.128.  0.  1
 +  4.190. 16. 10
    0.  0.  0.  0
    0.  0.  0.  0
  12
    0.  0.  0.  0
 + 14.255.  0.  2
    0.  0.  0.  0
 +  2.  0.  0.  1
 + 18.225.  2.  2
    0.  0.  0.  0
    0.  0.  0.  0
  13
    0.  0.  0.  0
 + 59.240.  0.  2
    0.  0.  0.  0
 +  8.  0.  0.  1
 + 74. 16.128.  2
    0.  0.  0.  0
    0.  0.  0.  0
  14
    0.  0.  0.  0
 - 17.  0.  0.  0
    0.  0.  0.  0
 + 32.  0.  0.  1
 + 17. 32.  0.  1
    0.  0.  0.  0
    0.  0.  0.  0
  15
    0.  0.  0.  0
 - 80.  0.  0.  3
    0.  0.  0.  0
 -128.  0.  0.  1
 - 40.  0.  0.  2
    0.  0.  0.  0
    0.  0.  0.  0
  16
    0.  0.  0.  0
 -  0.  0.  0. 13
    0.  0.  0.  0
 -  0.  0.  0.  2
 +  0.  0.  0. 12
    0.  0.  0.  0
    0.  0.  0.  0
  17
    0.  0.  0.  0
 -  0.  0.  0. 43
    0.  0.  0.  0
 -  0.  0.  0.  8
 +  0.  0.  1. 38
    0.  0.  0.  0
    0.  0.  0.  0
  18
    0.  0.  0.  0
 +  0.  0.  0. 18
    0.  0.  0.  0
 -  0.  0.  0. 32
 -  0.  0.  2. 47
    0.  0.  0.  0
    0.  0.  0.  0
  19
    0.  0.  0.  0
 +  0.  0. 12. 66
    0.  0.  0.  0
 -  0.  0.  0.128
 -  0.  6. 20.191
    0.  0.  0.  0
    0.  0.  0.  0
  20
    0.  0.  0.  0
 +  0.  0.241.  2
    0.  0.  0.  0
 -  0.  0.  2.  0
 -  1.225. 18.255
    0.  0.  0.  0
    0.  0.  0.  0
  21
    0.  0.  0.  0
 +  0. 15.196.  2
    0.  0.  0.  0
 -  0.  0.  8.  0
 -126. 16. 75.255
    0.  0.  0.  0
    0.  0.  0.  0
  22
    0.  0.  0.  0
 +  0.255. 16.  2
    0.  0.  0.  0
 -  0.  0. 32.  0
 + 30.254.208. 34
    0.  0.  0.  0
    0.  0.  0.  0
  23
    0.  0.  0.  0
 + 15.252. 64.  2
    0.  0.  0.  0
 -  0.  0.128.  0
 - 16.  4.184.  1
    0.  0.  0.  0
    0.  0.  0.  0
  24
    0.  0.  0.  0
 -  0. 15.  0.  0
    0.  0.  0.  0
 -  0.  2.  0.  0
 -  0. 17.  0. 30
    0.  0.  0.  0
    0.  0.  0.  0
  25
    0.  0.  0.  0
 -  0. 60.  0. 15
    0.  0.  0.  0
 -  0.  8.  0.  0
 +  0. 51.254. 18
    0.  0.  0.  0
    0.  0.  0.  0
  26
    0.  0.  0.  0
 -  0.240.  0.255
    0.  0.  0.  0
 -  0. 32.  0.  0
 + 30.207.225.  2
    0.  0.  0.  0
    0.  0.  0.  0
  27
    0.  0.  0.  0
 -  3.192. 15.255
    0.  0.  0.  0
 -  0.128.  0.  0
 -  4.193.240.  7
    0.  0.  0.  0
    0.  0.  0.  0
  28
    0.  0.  0.  0
 - 15.  0.255.255
    0.  0.  0.  0
 -  2.  0.  0.  0
 - 19. 31.  1.255
    0.  0.  0.  0
    0.  0.  0.  0
  29
    0.  0.  0.  0
 - 60. 15.255.255
    0.  0.  0.  0
 -  8.  0.  0.  0
 - 77.240.127.255
    0.  0.  0.  0
    0.  0.  0.  0
  30
    0.  0.  0.  0
 + 15.  0.  0.  3
    0.  0.  0.  0
 - 32.  0.  0.  0
 - 79. 31.255.254
    0.  0.  0.  0
    0.  0.  0.  0
  31
    0.  0.  0.  0
 + 48.  0.  0.  6
    0.  0.  0.  0
 -128.  0.  0.  0
 + 72.  0.  0.  9
    0.  0.  0.  0
    0.  0.  0.  0




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