Таблица F5.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.6 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=16
в поле Галуа

GF( 1 + 225 ) = GF( 1 + 232 ) = 4294967297 = GF( F5 )

в (A-1)-арифметике, T^–1 = 1/T = 0'240. 0. 0. 0B = -268435457
Результаты в (A-1)-арифметике в виде 33-битовых слов = ПСАНВ± mod F5, т.е.
в диапазоне [–231..+231]

(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