Таблица F5.A-1.3. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.3 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 = 248. 0. 0. 1
Результаты в A-арифметике в 33-битовых числах = ПСНВ+ mod F5, т.е. в диапазоне [ 0..+232]

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
  129.240. 76.  2
    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
  240.  4.184.  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
  255.203.254. 19
    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
  225. 47.225.  3
    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
  239.  0.  0.  2
    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
  175.255.255.255
    0.  0.  0.  0
  128.  0.  0.  1
  216.  0.  0.  0
    0.  0.  0.  0
    0.  0.  0.  0
  16
    0.  0.  0.  0
  255.255.255.245
    0.  0.  0.  0
       2^32      
    0.  0.  0. 12
    0.  0.  0.  0
    0.  0.  0.  0
  17
    0.  0.  0.  0
  255.255.255.215
    0.  0.  0.  0
  255.255.255.250
    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
  255.255.255.226
  255.255.253.211
    0.  0.  0.  0
    0.  0.  0.  0
  19
    0.  0.  0.  0
    0.  0. 12. 66
    0.  0.  0.  0
  255.255.255.130
  255.249.235. 67
    0.  0.  0.  0
    0.  0.  0.  0
  20
    0.  0.  0.  0
    0.  0.241.  2
    0.  0.  0.  0
  255.255.254.  2
  254. 30.237.  3
    0.  0.  0.  0
    0.  0.  0.  0
  21
    0.  0.  0.  0
    0. 15.196.  2
    0.  0.  0.  0
  255.255.248.  2
  129.239.180.  3
    0.  0.  0.  0
    0.  0.  0.  0
  22
    0.  0.  0.  0
    0.255. 16.  2
    0.  0.  0.  0
  255.255.224.  2
   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
  255.255.128.  2
  239.251. 72.  1
    0.  0.  0.  0
    0.  0.  0.  0
  24
    0.  0.  0.  0
  255.241.  0.  2
    0.  0.  0.  0
  255.254.  0.  2
  255.238.255.228
    0.  0.  0.  0
    0.  0.  0.  0
  25
    0.  0.  0.  0
  255.195.255.243
    0.  0.  0.  0
  255.248.  0.  2
    0. 51.254. 18
    0.  0.  0.  0
    0.  0.  0.  0
  26
    0.  0.  0.  0
  255. 15.255.  3
    0.  0.  0.  0
  255.224.  0.  2
   30.207.225.  2
    0.  0.  0.  0
    0.  0.  0.  0
  27
    0.  0.  0.  0
  252. 63.240.  3
    0.  0.  0.  0
  255.128.  0.  2
  251. 62. 15.251
    0.  0.  0.  0
    0.  0.  0.  0
  28
    0.  0.  0.  0
  240.255.  0.  3
    0.  0.  0.  0
  254.  0.  0.  2
  236.224.254.  3
    0.  0.  0.  0
    0.  0.  0.  0
  29
    0.  0.  0.  0
  195.240.  0.  3
    0.  0.  0.  0
  248.  0.  0.  2
  178. 15.128.  3
    0.  0.  0.  0
    0.  0.  0.  0
  30
    0.  0.  0.  0
   15.  0.  0.  3
    0.  0.  0.  0
  224.  0.  0.  2
  176.224.  0.  4
    0.  0.  0.  0
    0.  0.  0.  0
  31
    0.  0.  0.  0
   48.  0.  0.  6
    0.  0.  0.  0
  128.  0.  0.  2
   72.  0.  0.  9
    0.  0.  0.  0
    0.  0.  0.  0




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