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=16
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = 240. 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. 32
    0.  0.  0.  0.  0.  0.  0.  2
   1
    0.  0.  0.  0.  0.  0.  0. 15
    0.  0.  0.  0.  0.  1. 15.  2
    0.  0.  0.  0.  0.  0.  0.  2
    0.  0.  0.  0.  0.  0.  2.  1
    0.  0.  0.  0.  2. 31. 19.  2
    0.  0.  0.  0.  0.  0.  1. 48
    0.  0.  0.  0.  0.  0.  0. 19
   2
    0.  0.  0.  0.  0.  0.  0.  1
    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.  1.240
    0.  0.  0.  0.  0.  0.  0. 31
   3
    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. 32
    0.  0.  0.  0.  0.  0.  0.  2
   4
    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
   5
    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
   6
    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
   7
    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
   8
    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
   9
    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
  10
    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
  11
    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
  12
    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
  13
    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
  14
    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
  15
    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




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