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=16
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = 0'240. 0. 0. 0 = 4026531841
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. 31
 0'  0.  0.  0.  1
   1
 0'  0.  0.  0. 14
 0'  0.  0.  1.241
 0'  0.  0.  0.  1
 0'  0.  0.  0. 32
 0'  0.  0. 64. 49
 0'  0.  0.  1. 47
 0'  0.  0.  0. 18
   2
 0'  0.  0.  0.  0
 0'  0.  1. 15.  1
 1'  0.  0.  0.  0
 0'  0.  0.  2.  0
 0'  2. 31. 19.  1
 0'  0.  0.  1.239
 0'  0.  0.  0. 30
   3
 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
 0'  0.  0.  0. 31
 0'  0.  0.  0.  1
   4
 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
   5
 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
   6
 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
   7
 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
   8
 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
   9
 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
  10
 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
  11
 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
  12
 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
  13
 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
  14
 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
  15
 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




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