Таблица F6.A-1.5. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.5 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 0'248. 0. 0. 0. 0. 0. 0. 0 = > 2^32
Результаты в (A-1)-арифметике в виде 65-битовых слов = 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.  0.  1
 0'  0.  0.  0.  0.  0.  0.  0. 17
 0'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  0.  2
 0'  0.  0.  0.  0.  0.  0.  0. 53
 0'  0.  0.  0.  0.  0.  0.  0. 63
 0'  0.  0.  0.  0.  0.  0.  0.  1
   1
 0'  0.  0.  0.  0.  0.  0.  0. 14
 0'  0.  0.  0.  0.  0.  0.  1.241
 0'  0.  0.  0.  0.  0.  0.  0.  1
 0'  0.  0.  0.  0.  0.  0.  0. 32
 0'  0.  0.  0.  0.  0.  0. 64. 49
 0'  0.  0.  0.  0.  0.  0.  2. 95
 0'  0.  0.  0.  0.  0.  0.  0. 18
   2
 0'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  1. 15.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  2.  0
 0'  0.  0.  0.  0.  2. 31. 19.  1
 0'  0.  0.  0.  0.  0.  0.  3.223
 0'  0.  0.  0.  0.  0.  0.  0. 30
   3
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  1.  0.240.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0. 32.  0
 0'  0.  0.  0. 32. 31.  1. 48.  1
 0'  0.  0.  0.  0.  0.  0.  0. 63
 0'  0.  0.  0.  0.  0.  0.  0.  1
   4
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  1.  0. 15.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  2.  0.  0
 0'  0.  2.  0. 31.  0. 19.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
   5
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  1.  0.  0.240.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0. 32.  0.  0
 0' 32.  0. 31.  0.  1. 48.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
   6
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  1.  0.  0. 15.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  2.  0.  0.  0
 0'  0. 31.  0.  0. 18.255.254.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
   7
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  1.  0.  0.  0.240.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0. 32.  0.  0.  0
 0' 31.  0.  0.  1. 47.224.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
   8
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0. 15.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  2.  0.  0.  0.  0
 0'  0.  0.  0. 16.255.255.255.226
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
   9
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.239.255.255.255.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0. 32.  0.  0.  0.  0
 0'255.255.225. 47.255.255.225.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  10
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0. 14.255.255.255.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  2.  0.  0.  0.  0.  0
 0'254.  0. 18.255.255.225.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  11
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.239.255.255.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0. 32.  0.  0.  0.  0.  0
 0'  0.  1. 47.255.225.  0.  0. 33
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  12
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0. 14.255.255.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  2.  0.  0.  0.  0.  0.  0
 0'  0. 18.255.225.  0.  2.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  13
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.239.255.  0.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0. 32.  0.  0.  0.  0.  0.  0
 0'  1. 47.225.  0. 32.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  14
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0' 14.255.  0.  0.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  2.  0.  0.  0.  0.  0.  0.  0
 0' 18.225.  2.  0.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  15
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'239.  0.  0.  0.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0' 32.  0.  0.  0.  0.  0.  0.  0
 0' 17. 32.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  16
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.255.244
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.255.255
 0'  0.  0.  0.  0.  0.  0.  0. 11
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  17
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  0. 17
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.255.225
 0'255.255.255.255.255.255.253.210
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  18
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.241.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.254.  1
 0'255.255.255.255.254. 30.237.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  19
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.255. 16.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.224.  1
 0'255.255.255.224. 30.254.208.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  20
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.255.241.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.254.  0.  1
 0'255.254.  0. 30.255.237.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  21
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.255.255. 16.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.224.  0.  1
 0'224.  0. 30.255.254.208.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  22
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.255.255.241.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.254.  0.  0.  1
 0'  0. 30.255.255.237.  0.  2.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  23
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.255.255.255. 16.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.224.  0.  0.  1
 0' 30.255.255.254.208. 32.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  24
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.241.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.254.  0.  0.  0.  1
 0'255.255.255.238.255.255.255.227
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  25
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255. 15.255.255.255.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.224.  0.  0.  0.  1
 0'  0.  0. 30.207.255.255.225.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  26
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.240.255.255.255.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.254.  0.  0.  0.  0.  1
 0'  1.255.236.255.255.225.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  27
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255. 15.255.255.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.224.  0.  0.  0.  0.  1
 0'255.254.207.255.224.255.255.226
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  28
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.240.255.255.  0.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.254.  0.  0.  0.  0.  0.  1
 0'255.236.255.224.255.254.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  29
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255. 15.255.  0.  0.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.224.  0.  0.  0.  0.  0.  1
 0'254.207.224.255.224.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  30
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'240.255.  0.  0.  0.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'254.  0.  0.  0.  0.  0.  0.  1
 0'236.224.254.  0.  0.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
  31
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0' 15.  0.  0.  0.  0.  0.  0.  2
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'224.  0.  0.  0.  0.  0.  0.  1
 0'176.224.  0.  0.  0.  0.  0.  3
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0




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