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=64
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = 0'252. 0. 0. 0 = 4227858433
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.  0.127
 0'  0.  0.  0.  1
   1
 0'  0.  0.  0. 14
 0'  0.  0.  0. 35
 0'  0.  0.  0.  1
 0'  0.  0.  0.  4
 0'  0.  0.  0.179
 0'  0.  0.  4.191
 0'  0.  0.  0. 18
   2
 0'  0.  0.  0.  0
 0'  0.  0.  0. 77
 1'  0.  0.  0.  0
 0'  0.  0.  0.  8
 0'  0.  0.  2.189
 0'  0.  0.  7.191
 0'  0.  0.  0. 30
   3
 1'  0.  0.  0.  0
 0'  0.  0.  0.185
 1'  0.  0.  0.  0
 0'  0.  0.  0. 16
 0'  0.  0. 12. 89
 0'  0.  0.  0.127
 0'  0.  0.  0.  1
   4
 1'  0.  0.  0.  0
 0'  0.  0.  1.241
 1'  0.  0.  0.  0
 0'  0.  0.  0. 32
 0'  0.  0. 64. 49
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   5
 1'  0.  0.  0.  0
 0'  0.  0.  5.225
 1'  0.  0.  0.  0
 0'  0.  0.  0. 64
 0'  0.  1.126. 97
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   6
 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
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   7
 1'  0.  0.  0.  0
 0'  0.  0. 71.129
 1'  0.  0.  0.  0
 0'  0.  0.  1.  0
 0'  0. 71.201.129
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
   8
 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
   9
 1'  0.  0.  0.  0
 0'  0.  4. 30.  1
 1'  0.  0.  0.  0
 0'  0.  0.  4.  0
 0' 16.124. 38.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  10
 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
  11
 1'  0.  0.  0.  0
 0'  0. 64.120.  1
 1'  0.  0.  0.  0
 0'  0.  0. 16.  0
 0'  7.192.151.253
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  12
 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
  13
 1'  0.  0.  0.  0
 0'  4.  1.224.  1
 1'  0.  0.  0.  0
 0'  0.  0. 64.  0
 0'124.  2. 95.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  14
 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
  15
 1'  0.  0.  0.  0
 0' 64.  7.128.  1
 1'  0.  0.  0.  0
 0'  0.  1.  0.  0
 0'192.  9. 63.250
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  16
 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
  17
 1'  0.  0.  0.  0
 0'  0. 29.255.253
 1'  0.  0.  0.  0
 0'  0.  4.  0.  0
 0'  0. 21.255.133
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  18
 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
  19
 1'  0.  0.  0.  0
 0'  0.119.255.193
 1'  0.  0.  0.  0
 0'  0. 16.  0.  0
 0'252.151.248. 66
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  20
 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
  21
 1'  0.  0.  0.  0
 0'  1.223.252.  1
 1'  0.  0.  0.  0
 0'  0. 64.  0.  0
 0'  2. 95.132.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  22
 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
  23
 1'  0.  0.  0.  0
 0'  7.127.192.  1
 1'  0.  0.  0.  0
 0'  1.  0.  0.  0
 0'  9.120. 64. 65
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  24
 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
  25
 1'  0.  0.  0.  0
 0' 29.252.  0.  1
 1'  0.  0.  0.  0
 0'  4.  0.  0.  0
 0' 37.132. 16.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  26
 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
  27
 1'  0.  0.  0.  0
 0'119.192.  0.  1
 1'  0.  0.  0.  0
 0' 16.  0.  0.  0
 0'144. 68.  0.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  28
 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
  29
 1'  0.  0.  0.  0
 0'220.  0.  0.  0
 1'  0.  0.  0.  0
 0' 64.  0.  0.  0
 0'229.  0.  0.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  30
 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
  31
 1'  0.  0.  0.  0
 0' 63.255.255.250
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  32
 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
  33
 1'  0.  0.  0.  0
 0'255.255.255.232
 1'  0.  0.  0.  0
 0'255.255.255.253
 0'  0.  0.  0. 71
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  34
 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
  35
 1'  0.  0.  0.  0
 0'255.255.255.202
 1'  0.  0.  0.  0
 0'255.255.255.241
 0'  0.  0.  3. 41
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  36
 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
  37
 1'  0.  0.  0.  0
 0'  0.  0.  2. 33
 1'  0.  0.  0.  0
 0'255.255.255.193
 0'255.255.121.162
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  38
 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
  39
 1'  0.  0.  0.  0
 0'  0.  0. 56.129
 1'  0.  0.  0.  0
 0'255.255.255.  1
 0'255.199.182.130
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  40
 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
  41
 1'  0.  0.  0.  0
 0'  0.  3.226.  1
 1'  0.  0.  0.  0
 0'255.255.252.  1
 0'240.123.218.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  42
 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
  43
 1'  0.  0.  0.  0
 0'  0. 63.136.  1
 1'  0.  0.  0.  0
 0'255.255.240.  1
 0'  7.191.104.  5
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  44
 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
  45
 1'  0.  0.  0.  0
 0'  3.254. 32.  1
 1'  0.  0.  0.  0
 0'255.255.192.  1
 0'123.253.161.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  46
 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
  47
 1'  0.  0.  0.  0
 0' 63.248.128.  1
 1'  0.  0.  0.  0
 0'255.255.  0.  1
 0'191.246.191.250
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  48
 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
  49
 1'  0.  0.  0.  0
 0'255.225.255.254
 1'  0.  0.  0.  0
 0'255.252.  0.  1
 0'255.233.255.134
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  50
 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
  51
 1'  0.  0.  0.  0
 0'255.135.255.194
 1'  0.  0.  0.  0
 0'255.240.  0.  1
 0'  3.103.248. 65
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  52
 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
  53
 1'  0.  0.  0.  0
 0'254. 31.252.  2
 1'  0.  0.  0.  0
 0'255.192.  0.  1
 0'253.159.132.  1
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  54
 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
  55
 1'  0.  0.  0.  0
 0'248.127.192.  2
 1'  0.  0.  0.  0
 0'255.  0.  0.  1
 0'246.120. 63.194
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  56
 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
  57
 1'  0.  0.  0.  0
 0'225.252.  0.  2
 1'  0.  0.  0.  0
 0'252.  0.  0.  1
 0'217.131.240.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  58
 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
  59
 1'  0.  0.  0.  0
 0'135.192.  0.  2
 1'  0.  0.  0.  0
 0'240.  0.  0.  1
 0' 96. 60.  0.  2
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  60
 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
  61
 1'  0.  0.  0.  0
 0' 28.  0.  0.  3
 1'  0.  0.  0.  0
 0'192.  0.  0.  1
 0' 35.  0.  0.  4
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0
  62
 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
  63
 1'  0.  0.  0.  0
 0' 64.  0.  0.  9
 1'  0.  0.  0.  0
 0'  0.  0.  0.  1
 0'128.  0.  0. 19
 1'  0.  0.  0.  0
 1'  0.  0.  0.  0




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