Таблица F6.A-1.3. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.3 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=32
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = 248. 0. 0. 0. 0. 0. 0. 1
Результаты в A-арифметике в 65-битовых числах = ПСНВ+ mod F6, т.е. в диапазоне [ 0..+264]

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. 64
    0.  0.  0.  0.  0.  0.  0.  2
   1
    0.  0.  0.  0.  0.  0.  0. 15
    0.  0.  0.  0.  0.  0.  1.242
    0.  0.  0.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0. 33
    0.  0.  0.  0.  0.  0. 64. 50
    0.  0.  0.  0.  0.  0.  2. 96
    0.  0.  0.  0.  0.  0.  0. 19
   2
    0.  0.  0.  0.  0.  0.  0.  1
    0.  0.  0.  0.  0.  1. 15.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  2.  1
    0.  0.  0.  0.  2. 31. 19.  2
    0.  0.  0.  0.  0.  0.  3.224
    0.  0.  0.  0.  0.  0.  0. 31
   3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  1.  0.240.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0. 32.  1
    0.  0.  0. 32. 31.  1. 48.  2
    0.  0.  0.  0.  0.  0.  0. 64
    0.  0.  0.  0.  0.  0.  0.  2
   4
    0.  0.  0.  0.  0.  0.  0.  0
    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.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
   5
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  1.  0.  0.240.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0. 32.  0.  1
   32.  0. 31.  0.  1. 48.  0.  2
    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.  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.  0
    0.  0.  0.  0.  0.  0.  0.  0
   7
    0.  0.  0.  0.  0.  0.  0.  0
    1.  0.  0.  0.240.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0. 32.  0.  0.  1
   31.  0.  0.  1. 47.224.  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. 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
   9
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.239.255.255.255.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0. 32.  0.  0.  0.  1
  255.255.225. 47.255.255.225.  3
    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. 14.255.255.255.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  2.  0.  0.  0.  0.  1
  254.  0. 18.255.255.225.  0.  3
    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.  0.239.255.255.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0. 32.  0.  0.  0.  0.  1
    0.  1. 47.255.225.  0.  0. 34
    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. 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
  13
    0.  0.  0.  0.  0.  0.  0.  0
    0.239.255.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0. 32.  0.  0.  0.  0.  0.  1
    1. 47.225.  0. 32.  0.  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
   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
  15
    0.  0.  0.  0.  0.  0.  0.  0
  239.  0.  0.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
   32.  0.  0.  0.  0.  0.  0.  1
   17. 32.  0.  0.  0.  0.  0.  1
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  16
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.255.255.245
    0.  0.  0.  0.  0.  0.  0.  0
                       2^64      
    0.  0.  0.  0.  0.  0.  0. 12
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  17
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0. 18
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.255.255.226
  255.255.255.255.255.255.253.211
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  18
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.241.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.255.254.  2
  255.255.255.255.254. 30.237.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  19
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.255. 16.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.255.224.  2
  255.255.255.224. 30.254.208.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  20
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.255.241.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.254.  0.  2
  255.254.  0. 30.255.237.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  21
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.255.255. 16.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.255.224.  0.  2
  224.  0. 30.255.254.208.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  22
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.255.255.241.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.254.  0.  0.  2
    0. 30.255.255.237.  0.  2.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  23
    0.  0.  0.  0.  0.  0.  0.  0
    0.255.255.255. 16.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.255.224.  0.  0.  2
   30.255.255.254.208. 32.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  24
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.241.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.254.  0.  0.  0.  2
  255.255.255.238.255.255.255.228
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  25
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255. 15.255.255.255.  3
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.255.224.  0.  0.  0.  2
    0.  0. 30.207.255.255.225.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  26
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.240.255.255.255.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.254.  0.  0.  0.  0.  2
    1.255.236.255.255.225.  0.  2
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  27
    0.  0.  0.  0.  0.  0.  0.  0
  255.255. 15.255.255.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  255.255.224.  0.  0.  0.  0.  2
  255.254.207.255.224.255.255.227
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  28
    0.  0.  0.  0.  0.  0.  0.  0
  255.240.255.255.  0.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  255.254.  0.  0.  0.  0.  0.  2
  255.236.255.224.255.254.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  29
    0.  0.  0.  0.  0.  0.  0.  0
  255. 15.255.  0.  0.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  255.224.  0.  0.  0.  0.  0.  2
  254.207.224.255.224.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  30
    0.  0.  0.  0.  0.  0.  0.  0
  240.255.  0.  0.  0.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  254.  0.  0.  0.  0.  0.  0.  2
  236.224.254.  0.  0.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
    0.  0.  0.  0.  0.  0.  0.  0
  31
    0.  0.  0.  0.  0.  0.  0.  0
   15.  0.  0.  0.  0.  0.  0.  3
    0.  0.  0.  0.  0.  0.  0.  0
  224.  0.  0.  0.  0.  0.  0.  2
  176.224.  0.  0.  0.  0.  0.  4
    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