Таблица F5.A-1.5. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.5 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 = 0'248. 0. 0. 0 = 4160749569
Результаты в (A-1)-арифметике в виде 33-битовых слов = 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.  0.  1
 0'  0.  0.  0. 17
 0'  0.  0.  0.  0
 0'  0.  0.  0.  2
 0'  0.  0.  0. 53
 0'  0.  0.  0. 63
 0'  0.  0.  0.  1
   1
 0'  0.  0.  0. 14
 0'  0.  0.  0. 77
 0'  0.  0.  0.  1
 0'  0.  0.  0.  8
 0'  0.  0.  2.189
 0'  0.  0.  2. 95
 0'  0.  0.  0. 18
   2
 0'  0.  0.  0.  0
 0'  0.  0.  1.241
 1'  0.  0.  0.  0
 0'  0.  0.  0. 32
 0'  0.  0. 64. 49
 0'  0.  0.  3.223
 0'  0.  0.  0. 30
   3
 1'  0.  0.  0.  0
 0'  0.  0. 19.193
 1'  0.  0.  0.  0
 0'  0.  0.  0.128
 0'  0.  9.244.193
 0'  0.  0.  0. 63
 0'  0.  0.  0.  1
   4
 1'  0.  0.  0.  0
 0'  0.  1. 15.  1
 1'  0.  0.  0.  0
 0'  0.  0.  2.  0
 0'  2. 31. 19.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   5
 1'  0.  0.  0.  0
 0'  0. 16. 60.  1
 1'  0.  0.  0.  0
 0'  0.  0.  8.  0
 0'129.240. 76.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   6
 1'  0.  0.  0.  0
 0'  1.  0.240.  1
 1'  0.  0.  0.  0
 0'  0.  0. 32.  0
 0' 31.  1. 47.225
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   7
 1'  0.  0.  0.  0
 0' 16.  3.192.  1
 1'  0.  0.  0.  0
 0'  0.  0.128.  0
 0'240.  4.184.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   8
 1'  0.  0.  0.  0
 0'  0. 15.  0.  0
 1'  0.  0.  0.  0
 0'  0.  2.  0.  0
 0'  0. 16.255.226
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   9
 1'  0.  0.  0.  0
 0'  0. 59.255.241
 1'  0.  0.  0.  0
 0'  0.  8.  0.  0
 0'255.203.254. 18
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  10
 1'  0.  0.  0.  0
 0'  0.239.255.  1
 1'  0.  0.  0.  0
 0'  0. 32.  0.  0
 0'225. 47.225.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  11
 1'  0.  0.  0.  0
 0'  3.191.240.  1
 1'  0.  0.  0.  0
 0'  0.128.  0.  0
 0'  4.190. 16.  9
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  12
 1'  0.  0.  0.  0
 0' 14.255.  0.  1
 1'  0.  0.  0.  0
 0'  2.  0.  0.  0
 0' 18.225.  2.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  13
 1'  0.  0.  0.  0
 0' 59.240.  0.  1
 1'  0.  0.  0.  0
 0'  8.  0.  0.  0
 0' 74. 16.128.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  14
 1'  0.  0.  0.  0
 0'239.  0.  0.  1
 1'  0.  0.  0.  0
 0' 32.  0.  0.  0
 0' 17. 32.  0.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  15
 1'  0.  0.  0.  0
 0'175.255.255.254
 1'  0.  0.  0.  0
 0'128.  0.  0.  0
 0'215.255.255.255
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  16
 1'  0.  0.  0.  0
 0'255.255.255.244
 1'  0.  0.  0.  0
 0'255.255.255.255
 0'  0.  0.  0. 11
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  17
 1'  0.  0.  0.  0
 0'255.255.255.214
 1'  0.  0.  0.  0
 0'255.255.255.249
 0'  0.  0.  1. 37
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  18
 1'  0.  0.  0.  0
 0'  0.  0.  0. 17
 1'  0.  0.  0.  0
 0'255.255.255.225
 0'255.255.253.210
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  19
 1'  0.  0.  0.  0
 0'  0.  0. 12. 65
 1'  0.  0.  0.  0
 0'255.255.255.129
 0'255.249.235. 66
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  20
 1'  0.  0.  0.  0
 0'  0.  0.241.  1
 1'  0.  0.  0.  0
 0'255.255.254.  1
 0'254. 30.237.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  21
 1'  0.  0.  0.  0
 0'  0. 15.196.  1
 1'  0.  0.  0.  0
 0'255.255.248.  1
 0'129.239.180.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  22
 1'  0.  0.  0.  0
 0'  0.255. 16.  1
 1'  0.  0.  0.  0
 0'255.255.224.  1
 0' 30.254.208. 33
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  23
 1'  0.  0.  0.  0
 0' 15.252. 64.  1
 1'  0.  0.  0.  0
 0'255.255.128.  1
 0'239.251. 72.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  24
 1'  0.  0.  0.  0
 0'255.241.  0.  1
 1'  0.  0.  0.  0
 0'255.254.  0.  1
 0'255.238.255.227
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  25
 1'  0.  0.  0.  0
 0'255.195.255.242
 1'  0.  0.  0.  0
 0'255.248.  0.  1
 0'  0. 51.254. 17
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  26
 1'  0.  0.  0.  0
 0'255. 15.255.  2
 1'  0.  0.  0.  0
 0'255.224.  0.  1
 0' 30.207.225.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  27
 1'  0.  0.  0.  0
 0'252. 63.240.  2
 1'  0.  0.  0.  0
 0'255.128.  0.  1
 0'251. 62. 15.250
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  28
 1'  0.  0.  0.  0
 0'240.255.  0.  2
 1'  0.  0.  0.  0
 0'254.  0.  0.  1
 0'236.224.254.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  29
 1'  0.  0.  0.  0
 0'195.240.  0.  2
 1'  0.  0.  0.  0
 0'248.  0.  0.  1
 0'178. 15.128.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  30
 1'  0.  0.  0.  0
 0' 15.  0.  0.  2
 1'  0.  0.  0.  0
 0'224.  0.  0.  1
 0'176.224.  0.  3
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  31
 1'  0.  0.  0.  0
 0' 48.  0.  0.  5
 1'  0.  0.  0.  0
 0'128.  0.  0.  1
 0' 72.  0.  0.  8
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0




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