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=16
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T 0'240. 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.  0.191
 0'  0.  0.  0.  0.  0.  0.  1.195
 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.  5. 75
 0'  0.  0.  0.  0.  0.  0. 11.255
 0'  0.  0.  0.  0.  0.  0.  0.191
   1
 0'  0.  0.  0.  0.  0.  0.  0.127
 0'  0.  0.  0.  0.  0.132.128.191
 0'  0.  0.  0.  0.  0.  0.  0.  1
 0'  0.  0.  0.  0.  0.  0.  2.  0
 0'  0.  0.  0.  1.  9.134.  0.191
 0'  0.  0.  0.  0.  0.  0. 31.255
 0'  0.  0.  0.  0.  0.  0.  1.255
   2
 0'  0.  0.  0.  0.  0.  0.  0.131
 0'  0.  0.  0.132.  0.128.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  2.  0.  0
 0'  1.  8.  1.132.  2.  0.  0.191
 0'  0.  0.  0.  0.  0.  0. 24. 63
 0'  0.  0.  0.  0.  0.  0.  1.131
   3
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.132.  0.  0.128.  0.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  2.  0.  0.  0
 0'  1.132.  0.  1.255.254.248.191
 0'  0.  0.  0.  0.  0.  0. 16.127
 0'  0.  0.  0.  0.  0.  0.  1.  7
   4
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.128.  0.  0.  0. 59
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  2.  0.  0.  0.  0
 0'  0.  0.  0.247.255.255.255. 59
 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.  0.127.255.255.124.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  2.  0.  0.  0.  0.  0
 0'248.  1.255.255.254.124.  0.193
 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'  0.127.255.124.  0.  0.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  2.  0.  0.  0.  0.  0.  0
 0'  1.255.254.124.  1.  8.  0.191
 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
 0'127.124.  0.  0.  0.  0.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  2.  0.  0.  0.  0.  0.  0.  0
 0'254.125.  8.  0.  0.  0.  0.190
 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.  0.  0.  0.  0.195
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.255.255
 0'255.255.255.255.255.255.255. 60
 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.  0.  0.131.128.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.254.  1
 0'255.255.255.254.249.130.  0.192
 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.  0.131.255.128.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.254.  0.  1
 0'254.248.  1.131.254.  0.  0.192
 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'  0.131.255.255.128.  0.  0.191
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.254.  0.  0.  1
 0'  1.131.255.254.  0.  1.  8.191
 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
 0'255.255.255.128.  0.  0.  0. 60
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.254.  0.  0.  0.  1
 0'255.255.255.  7.255.255.255. 60
 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
 0'255.255.127.255.255.124.  0.192
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.254.  0.  0.  0.  0.  1
 0'  7.253.255.255.254.124.  0.190
 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
 0'255.127.255.124.  0.  0.  0.192
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.254.  0.  0.  0.  0.  0.  1
 0'253.255.254.123.254.248.  0.192
 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
 0'127.124.  0.  0.  0.  0.  0.192
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'254.  0.  0.  0.  0.  0.  0.  1
 0'254.122.248.  0.  0.  0.  0.194
 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