Таблица F6.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.6 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. 0B = < -2^32
Результаты в (A-1)-арифметике в виде 65-битовых слов = ПСАНВ± mod F6, т.е.
в диапазоне [–263..+263]

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